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'''1D52. Deformation by Central Forces ''' | |
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'''1D52. Deformation by Central Forces ''' | ||<:10%>'''PIRA #'''||<:>'''Demonstration Name'''||<:60%>'''Abstract'''|| ||1D52.10|| flattening earth|| A hand crank spins a globe made of flexible brass hoops.|| ||1D52.10|| flattening Earth|| Flexible hoops flatten when spun on a hand crank rotator.|| ||1D52.10|| centrifuge hoops|| A flexible hoop becomes oblate as it is rotated.|| ||1D52.11|| flattening Earth|| Spin deformable balls. A clay/glycerin ball will burst, a sponge rubber ball will deform greatly.|| ||1D52.17|| empty jug by swirling|| A jug will empty faster when swirled.|| ||1D52.20|| water parabola|| A rectangular plexiglass box partially filled with colored water is rotated. The parabolic shape is clearly seen.|| ||1D52.20|| water parabola|| A flat sided tank half full of water is rotated on a platform.|| ||1D52.20|| water parabola|| A small self strobed rotating plexiglass container is used to project the water parabola.|| ||1D52.20|| water parabola|| A glass cylinder half filled with colored water is spun on a rotating table.|| ||1D52.20|| parabolid of revolution|| A cylindrical container with some water is rotated at a constant speed.|| ||1D52.21|| rotation water troughs|| Two water containers are mounted on a rotating table. A rectangular container mounted radially shows half a parabola, and another formed in an arc of constant radius stays level.|| ||1D52.23|| rotating manometer|| Tubing constructed in an "E" shape on its back is partly filled with water and rotated.|| ||1D52.24|| rotating manometer|| A U shaped manometer is mounted with one of its arms coincident with the axis of a rotating table.|| ||1D52.26|| project mercury parabola|| Spin a dish of mercury and image a light bulb on the ceiling.|| ||1D52.30|| balls in water sentrifuge|| Cork and steel balls are spun in a curved tube filled with water.|| ||1D52.30|| balls in water centrifuge|| Wood balls in two curved tubes, air and water filled, are rotated.|| ||1D52.30|| balls in water centrifuge|| Spin a bent glass tube filled with water that contains two wood or steel balls.|| ||1D52.30|| balls in water centrifuge|| Spin a bent glass tube filled with water containing cork and aluminum balls.|| ||1D52.30|| balls in water centrifuge|| A glass bowl containing water, a steel ball, a cork ball is spun.|| ||1D52.30|| corks in water centrifuge|| Spin a semicircular tube filled with water containing two corks.|| ||1D52.31|| inertial pressure gradient|| A bubble in a tube goes to the center when whirled in a horizontal circle.|| ||1D52.31|| centrifuge|| A long thin tube containing a wood plug is rotated horizontal while either filled with water or empty.|| ||1D52.31|| balls in water centrifuge|| A long thin tube containing a brass ball, ping pong ball, and water is rotated.|| ||1D52.33|| cork and ball rotating in water|| One cork is tied to the bottom, one ball is tied to the top of two cylinders full of water at the ends of a rotating bar.|| ||1D52.33|| rotating corks in water|| Corks tied to the bottom of two jars full of water are first translated on a cart and then put on a pivot and rotated about the center.|| ||1D52.34|| car picture|| A picture taken from inside a car of a candle, CO2 balloon, H2 balloon as the car is driven in uniform circular motion.|| ||1D52.35|| mercury/water centrifuge|| A globe with water and mercury on a hand crank rotator.|| ||1D52.35|| mercury/water centrifuge|| A spherical glass bowl is spun and mercury forms a equatorial band with water above and below.|| ||1D52.35|| water and mercury centrifuge|| Water and mercury spin in a glass sphere.|| ||1D52.36|| centrifuge|| Diagram for building a projection cell centrifuge.|| ||1D52.37|| centrifuge|| A hand cranked test tube centrifuge.|| ||1D52.38|| the full skirt|| Spin a doll with a full skirt or kilt. Cheap thrills.|| ||1D52.40|| rotating candle|| A candle is placed on a turntable and covered with a large plexiglass hemisphere.|| ||1D52.40|| rotating candle|| Make the rotating candle out of meter sticks and candles.|| ||1D52.40|| central pressure gradients|| A candle rotates in a chimney on a turntable.|| ||1D52.40|| rotating candle|| A lighted candle in a chimney goes around on a dry ice puck string attached by a string to a pivot.|| ||1D52.40|| rotating candle|| A lighted candle in a chimney lamp on a rotating table will point to the center.|| ||1D52.40|| rotating candle|| Lighted candles in chimneys are rotated about the center of mass.|| ||1D52.45|| geotropsim|| Grow corn or wheat on a rotating turntable two weeks before class.|| ||1D52.50|| paper saw|| A 6" paper disc placed on a dremmel tool cuts another sheet of paper.|| ||1D52.50|| paper saw|| Typewriter paper will cut through other paper, Bristol board will cut through wood when spun at high speeds.|| ||1D52.60|| rubber wheel|| A sponge rubber wheel with one spoke cut is rotated at high speed and viewed under stroboscopic light.|| ||1D52.61|| rotating rubber wheel|| A rubber wheel stretches to a larger radius when spun.|| ||1D52.70|| wobbling Christmas tree toy|| A Lagrangian-effective potential solution explaining the behavior of this toy.|| ||1D52.90|| centripetal-centrifugal discussion|| A final (?) note on the topic from the editor.|| |
Motion in Two Dimensions
PIRA classification 1D
1D10. Displacement in Two Dimensions
PIRA # |
Demonstration Name |
Abstract |
1D10.20 |
Cycloid Generator |
A large spool with a light bulb fastened to the circumference is rolled along the table. With and without the lights on. |
1D10.30 |
Inversor |
A mechanical device that transforms rotational motion into rectilinear motion. |
1D10.40 |
Mounted Wheel |
A bicycle wheel marked with a radial line turns about its axis. |
1D10.55 |
Projected circular motion |
A Turn table with a ball that rotates with an arrow on top is projected on a screen by a arc lamp. |
1D10.60 |
measuring angular velocity |
Use an electronic strobe to measure the angular velocity of a fan blade or other rotating objects. |
1D15. Velocity, Position, and Acceleration
PIRA # |
Demonstration Name |
Abstract |
1D15.10 |
ultrasonic detector and students |
Have a student walk toward and away from a sonic ranger while observing plots of position, velocity, and acceleration on a projection of the Mac. |
1D15.15 |
kick a moving ball |
Kick a moving soccer ball on the floor or hit a moving croquet ball on the lecture bench with a mallet. |
1D15.20 |
high road low road |
Two objects start at the same velocity, one moves straight to the finish, the other traverses a valley. The problem: which wins? |
1D15.30 |
catching the train |
A ball accelerating down an incline catches and passes a ball moving at constant velocity on a horizontal track. |
1D15.35 |
passing the train |
A ball accelerates down an incline with a stripped rope moving at constant velocity in the background. The moment the ball has the same velocity as the rope is strikingly obvious. Repeat with the rope at a different constant velocity. |
1D15.40 |
Galileo's circle |
Several rods are mounted as cords of a large circle with one end of each rod top center. Beads released simultaneously at the top all reach the ends the rods at the same time. |
1D15.45 |
brachistochrone track |
Three tracks - straight line, parabola, and cycloid are mounted together. Triggers at each end control a timer. Details. |
1D40. Motion of the Center of Mass
PIRA # |
Demonstration Name |
Abstract |
1D40.10 |
throw objects |
A slab of Styrofoam with lights placed at the center of gravity is tossed in the air. |
1D40.11 |
center of mass disc |
Throw a disc with uniform distribution and then offset the center of mass. |
1D40.12 |
Hammer Toss |
Mark the center of gravity of a hammer with a white spot. Throw it in the air and attach it to a hand drill to show it rotating smoothly. |
1D40.13 |
throw objects |
A bunch of junk is tied together with strings and thrown across the room. |
1D40.15 |
loaded bolas |
Three balls tied together and tossed in the air |
1D40.20 |
spinning block |
A large wood block has two holes with felt tipped pens, one on the center of mass. Place the block on a large sheet of paper and hit off center with a hammer. |
1D40.22 |
air table center of mass |
A weighted block glides across an air table. |
1D40.25 |
photographing center of motion |
Photographing the center of velocity of a variety of rigid bodies, using a high speed CCD camera. |
1D40.30 |
throw the dumbbell |
A dumbbell with unequal masses is thrown without rotation when the force is applied at the center of mass. |
1D40.35 |
Earth-Moon system |
Two unequal masses are fastened to the ends of a rigid bar. Spin the system about holes drilled in the bar at and off the center of mass. |
1D40.50 |
air track pendulum glider |
A double pendulum hangs from an air track cart with a mounted spot marking the center of mass. Set the system in oscillation and the spot will remain still or translate smoothly. |
1D40.50 |
air track pendulum glider |
A large glider with a pendulum on top of it. |
1D40.50 |
air track pendulum glider |
A double pendulum with equal masses are hung below a glider. A pendulums can swing together or not. |
1D40.51 |
momentum pendulum |
A pendulum support is free to move on rollers as the pendulum swings back and forth. |
1D40.55 |
air track inchworm |
The center of mass of two carts coupled with leaf springs is marked with a light or flag. Show oscillation about the center of mass or constant velocity of c of m. |
1D40.60 |
satellite oscillation |
Discussion of the LDEF satellite (30'x14'dia.) as an example where the distinction between the center of mass and center of gravity is important. |
1D50. Central Forces
PIRA # |
Demonstration Name |
Abstract |
1D50.10 |
ball on a string |
Tie a lightweight ball to a sting and twirl around in a vertical circle. |
1D50.10 |
ball on a string |
Tie a whiffle ball to a sting and twirl around in a vertical circle. |
1D50.15 |
arrow on a disk |
Mount an arrow tangentially on the edge of a rotating disk. |
1D50.20 |
whirligig |
A large ball and a small ball fastened to opposite ends of a string which is threaded through a handle. |
1D50.20 |
centripetal force apparatus |
Use a glass tube for the holder and rubber stoppers for the masses. |
1D50.20 |
whirligig |
A large and small ball are on opposite sides of a string threaded through a handle. |
1D50.20 |
whirligig |
Two balls - 1 kg, 100 g - are attached to the ends of a 1 m string passing through a small hollow tube. Twirl a ball around your head. |
1D50.20 |
ball on cord |
A string with a rubber ball on one end passes through a plastic sleeve and weights are attached to a loop at the other end. |
1D50.23 |
whirlygig |
Apparatus Drawings Project No. 25: Construction of a low friction conical pendulum. |
1D50.23 |
whirligig |
The front axle of a bike is used for a whirligig support. |
1D50.25 |
conical pendulum |
A ceiling mounted bowling ball pendulum is used as a conical pendulum. |
1D50.25 |
conical pendulum |
A ball on a cord is rotated mechanically at a steady slow speed. |
1D50.26 |
plane on string |
A model plane flies around on a string defining a conical pendulum. |
1D50.27 |
conical pendulum |
Motorized triple bifilar coaxial conical pendula are used to demonstrate critical period. |
1D50.28 |
conical pendulum |
The main bearing of a conical pendulum is from a bicycle wheel axle. See also under whrilygig (AJP 30,221) |
1D50.28 |
conical pendulum |
The front wheel axle of a bike is used as a good bearing for a conical pendulum where the string tension is set by a counterweight. See AJP 31(1),58. |
1D50.29 |
conical pendulum game |
Swing a conical pendulum so it will strike a peg directly under the support on some swing other than the first. |
1D50.30 |
canival ride model |
A toy person is held on a vertical card at the edge of a turntable when the turntable is spun fast enough. |
1D50.30 |
roundup |
A toy person stands on the inside wall of a rotating cylinder. |
1D50.37 |
swinging up a weight |
An arrangement whereby a swinging 500 g weight picks up a 1000 g weight. |
1D50.40 |
pail of water |
Swing a bucket of water in a verticle circle over your head. |
1D50.40 |
pail of water, pail of nails |
Swing a bucket of water in a vertical circle over your head. If nails are used, they can be heard dropping away from the bottom of the can. |
1D50.40 |
pail of water |
A pail of water is whirled around in a vertical circle. |
1D50.40 |
pail of water |
Swing a bucket of water over your head. |
1D50.40 |
whirling bucket of water |
Rotate a bucket of water in a vertical circle. |
1D50.45 |
penny on the coathanger |
Place a penny on an elongated coat hanger and rotate around your finger. |
1D50.45 |
penny on the coathanger |
A penny is balanced on the hook of a coat hanger. The coat hanger is twirled around your finger and the penny doesn't fly off. |
1D50.45 |
penny on the coathanger |
The wire coat hanger is whirled about the vertical plane by the hook without dislodging the dime on the middle of the lower bar. |
1D50.45 |
penny on the coathanger |
Place a coin on the coat hanger and rotate it about the finger. |
1D50.45 |
coin on coat hanger |
A coin is placed on the flat of the hook of an elongated coat hanger and twirled around. |
1D50.48 |
balls on a propeller |
Balls sit in cups mounted on a swinging arm at .5 and 1.0 m. Calculate the period necessary to keep the ball in the outer cup and swing it around in time to a metronome. |
1D50.50 |
Welch centripetal force |
The angular velocity and mass needed to stretch a spring a certain distance are compared. |
1D50.50 |
Welch centripetal force review |
Uses no motor, self contained static force measurement. |
1D50.50 |
Welch centripetal force |
The angular velocity and mass needed to stretch a spring a certain distance are compared. |
1D50.51 |
Welch centripetal force modification |
Two modifications to the apparatus. |
1D50.51 |
Welch centripetal force |
A modification to improve the Sargent-Welch 9030 centripetal force apparatus. |
1D50.51 |
Welch centripetal force modification |
Improvements to the Welch centripetal force apparatus. |
1D50.53 |
variable centripetal force |
A new design for the apparatus that allows any two of the three variables of mass, angular velocity, and distance to be kept constant. |
1D50.53 |
Cenco centripetal force |
A relay starts the counter and clock so three hands are not needed when using the Cenco 74470 apparatus. |
1D50.53 |
Cenco centripetal force |
Lab apparatus used as a demonstration. |
1D50.54 |
Cenco centripetal force modification |
Replace the screw adjustment for the fixed end of the spring with a movable plate. |
1D50.55 |
hand rotator |
Two 2000 g spring balances are mounted on a rotator. Equal masses are attached to each and readings are taken at some rotational velocity. |
1D50.60 |
banked track |
A steel ball rolled down an incline into a funnel reaches an equilibrium level where it revolves in a horizontal plane. |
1D50.62 |
ball in a megaphone |
Throw a ball into a megaphone and it turns around and comes out the wide end. |
1D50.65 |
banked track |
A turntable can be rotated at various angular frequencies. Objects can be placed at different radii. A small platform can be attached which will swing out to the correct slope for any angular velocity. A device for measuring force is also shown. |
1D50.69 |
puzzle |
Two balls in a box must be caught in end pockets simultaneously. |
1D50.70 |
rolling chain |
A loop of chain is spun up on a disc and released to roll down the lecture bench as a rigid hoop. |
1D50.70 |
rolling chain |
A flexible chain is spun on a motorized pulley. When it is released, it maintains rigidity as it rolls down the lecture bench. |
1D50.70 |
rolling chain |
A loop of chain is brought up to speed on a motorized disc and when released rolls down the lecture bench over obstacles. |
1D50.70 |
rolling chain |
A loop of chain spun on a wheel and forced off remains rigid for some time. |
1D50.70 |
spinning chain |
Spin a flexible chain rapidly enough that it acts as a solid object. |
1D52. Deformation by Central Forces
PIRA # |
Demonstration Name |
Abstract |
1D52.10 |
flattening earth |
A hand crank spins a globe made of flexible brass hoops. |
1D52.10 |
flattening Earth |
Flexible hoops flatten when spun on a hand crank rotator. |
1D52.10 |
centrifuge hoops |
A flexible hoop becomes oblate as it is rotated. |
1D52.11 |
flattening Earth |
Spin deformable balls. A clay/glycerin ball will burst, a sponge rubber ball will deform greatly. |
1D52.17 |
empty jug by swirling |
A jug will empty faster when swirled. |
1D52.20 |
water parabola |
A rectangular plexiglass box partially filled with colored water is rotated. The parabolic shape is clearly seen. |
1D52.20 |
water parabola |
A flat sided tank half full of water is rotated on a platform. |
1D52.20 |
water parabola |
A small self strobed rotating plexiglass container is used to project the water parabola. |
1D52.20 |
water parabola |
A glass cylinder half filled with colored water is spun on a rotating table. |
1D52.20 |
parabolid of revolution |
A cylindrical container with some water is rotated at a constant speed. |
1D52.21 |
rotation water troughs |
Two water containers are mounted on a rotating table. A rectangular container mounted radially shows half a parabola, and another formed in an arc of constant radius stays level. |
1D52.23 |
rotating manometer |
Tubing constructed in an "E" shape on its back is partly filled with water and rotated. |
1D52.24 |
rotating manometer |
A U shaped manometer is mounted with one of its arms coincident with the axis of a rotating table. |
1D52.26 |
project mercury parabola |
Spin a dish of mercury and image a light bulb on the ceiling. |
1D52.30 |
balls in water sentrifuge |
Cork and steel balls are spun in a curved tube filled with water. |
1D52.30 |
balls in water centrifuge |
Wood balls in two curved tubes, air and water filled, are rotated. |
1D52.30 |
balls in water centrifuge |
Spin a bent glass tube filled with water that contains two wood or steel balls. |
1D52.30 |
balls in water centrifuge |
Spin a bent glass tube filled with water containing cork and aluminum balls. |
1D52.30 |
balls in water centrifuge |
A glass bowl containing water, a steel ball, a cork ball is spun. |
1D52.30 |
corks in water centrifuge |
Spin a semicircular tube filled with water containing two corks. |
1D52.31 |
inertial pressure gradient |
A bubble in a tube goes to the center when whirled in a horizontal circle. |
1D52.31 |
centrifuge |
A long thin tube containing a wood plug is rotated horizontal while either filled with water or empty. |
1D52.31 |
balls in water centrifuge |
A long thin tube containing a brass ball, ping pong ball, and water is rotated. |
1D52.33 |
cork and ball rotating in water |
One cork is tied to the bottom, one ball is tied to the top of two cylinders full of water at the ends of a rotating bar. |
1D52.33 |
rotating corks in water |
Corks tied to the bottom of two jars full of water are first translated on a cart and then put on a pivot and rotated about the center. |
1D52.34 |
car picture |
A picture taken from inside a car of a candle, CO2 balloon, H2 balloon as the car is driven in uniform circular motion. |
1D52.35 |
mercury/water centrifuge |
A globe with water and mercury on a hand crank rotator. |
1D52.35 |
mercury/water centrifuge |
A spherical glass bowl is spun and mercury forms a equatorial band with water above and below. |
1D52.35 |
water and mercury centrifuge |
Water and mercury spin in a glass sphere. |
1D52.36 |
centrifuge |
Diagram for building a projection cell centrifuge. |
1D52.37 |
centrifuge |
A hand cranked test tube centrifuge. |
1D52.38 |
the full skirt |
Spin a doll with a full skirt or kilt. Cheap thrills. |
1D52.40 |
rotating candle |
A candle is placed on a turntable and covered with a large plexiglass hemisphere. |
1D52.40 |
rotating candle |
Make the rotating candle out of meter sticks and candles. |
1D52.40 |
central pressure gradients |
A candle rotates in a chimney on a turntable. |
1D52.40 |
rotating candle |
A lighted candle in a chimney goes around on a dry ice puck string attached by a string to a pivot. |
1D52.40 |
rotating candle |
A lighted candle in a chimney lamp on a rotating table will point to the center. |
1D52.40 |
rotating candle |
Lighted candles in chimneys are rotated about the center of mass. |
1D52.45 |
geotropsim |
Grow corn or wheat on a rotating turntable two weeks before class. |
1D52.50 |
paper saw |
A 6" paper disc placed on a dremmel tool cuts another sheet of paper. |
1D52.50 |
paper saw |
Typewriter paper will cut through other paper, Bristol board will cut through wood when spun at high speeds. |
1D52.60 |
rubber wheel |
A sponge rubber wheel with one spoke cut is rotated at high speed and viewed under stroboscopic light. |
1D52.61 |
rotating rubber wheel |
A rubber wheel stretches to a larger radius when spun. |
1D52.70 |
wobbling Christmas tree toy |
A Lagrangian-effective potential solution explaining the behavior of this toy. |
1D52.90 |
centripetal-centrifugal discussion |
A final (?) note on the topic from the editor. |
1D55. Centrifugal Escape
1D60. Projectile Motion
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