Download AP Physics 1 Unit 7 Concepts Simple Harmonic Motion 1. A block on

AP Physics 1 Unit 7 Concepts
Simple Harmonic Motion
1.
A block on oscillates on a vertical spring. a) Write an equation for the net force on the block
when it experiences maximum stretch. Simplify each of these expressions. b) Write an equation
relating the total energy of the block spring system to the kinetic and elastic potential energy of
the block when the block is at: i. maximum displacement ii. equilibrium iii. and halfway between
maximum displacement and equilibrium.
2.
The block is attached to a horizontal spring and the motion of the block is recorded as a graph.
a) Sketch a position vs time graph of the motion for three periods if the block remains on a
frictionless surface. b) Sketch a position vs time graph of the motion for three periods if the
friction on the surface is appreciable. c) Sketch a position vs time graph of the motion for three
periods if the block is attached to an oscillator that slowly increases its amplitude and friction is
negligible.
3.
A block oscillates on a vertical spring with amplitude A, maximum elastic potential energy U,
maximum kinetic energy K and period T. Mass is added to the block and it continues to oscillate
with amplitude A. Describe changes (if any) to the maximum elastic potential energy, maximum
kinetic energy and period.
4.
An object undergoes simple harmonic motion. a) Describe the restoring force, velocity,
acceleration, potential energy and kinetic energy at maximum displacement. b) Describe the
restoring force, velocity, acceleration, potential energy and kinetic energy at equilibrium.
5.
An object undergoing simple harmonic motion has a frequency of 2.0 Hz and 3.0 cm amplitude.
At time zero the object is at x = +A. a) Draw a position vs time graph to represent the motion of
the object. b) Draw a velocity vs time graph for the motion of the object if the max speed of the
object is 0.40 m/s. c) Describe a way to find the acceleration of the block at maximum
displacement. Sketch the graph of acceleration vs time (where amax = a) for the object.
6.
For the block in Problem 5, sketch a graph of a) potential energy vs time and b) kinetic energy vs
time.
7.
An object oscillating in simple harmonic motion completes one cycle in time T. a) If the object’s
amplitude is doubled, how much will the total distance the object travels increase in one
period? b) Will the period increase, decrease or remain the same if the object is on a spring? c)
If the object is the bob of a simple pendulum? Explain.
8.
A pendulum bob is released from rest at height h above equilibrium. It oscillates freely about its
equilibrium point. a) Sketch a potential energy vs position graph for one period. b) Sketch a
velocity vs position graph for one period. c) Sketch a graph for total mechanical energy vs
position for one period.