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'''1D10. Displacement in Two Dimensions ''' | = 1D10. Displacement in Two Dimensions = |
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'''1D15. Velocity, Position, and Acceleration ''' | ||<:10%>'''PIRA #'''||<:>'''Demonstration Name'''||<:60%>'''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.|| |
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'''1D40. Motion of the Center of Mass ''' | = 1D15. Velocity, Position, and Acceleration = ||<:10%>'''PIRA #'''||<:>'''Demonstration Name'''||<:60%>'''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 = ||<:10%>'''PIRA #'''||<:>'''Demonstration Name'''||<:60%>'''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.|| |
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
1D52. Deformation by Central Forces
1D55. Centrifugal Escape
1D60. Projectile Motion
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