Simple Harmonic Motion

An object undergoing simple harmonic motion (SHM) has a period T and total energy E. The amplitude of oscillations is halved. What are the new period and total energy of the system?

• A

• B

• C

• D

A pendulum oscillates as shown. At which of the following positions is the kinetic energy equal to the total energy?

• A

• B

• C

• Not enough information given.

A particle of mass m oscillates with simple harmonic motion (SHM) of angular frequency ω. The amplitude of the SHM is A. What is the kinetic energy of the particle when it is half way between the equilibrium position and one extreme of the motion?

• 1/4*mA²ω²

• 3/8*mA²ω²

• 9/32*mA²ω²

• 1/2*mA²ω²

A pendulum oscillating near the surface of the Earth swings with a time period T. What is the time period of the same pendulum near the surface of the planet Mercury where the gravitational field strength is 0.4g?

• 0.2 T

• 0.6 T

• 1.2 T

• 1.6 T

Tags

NGSS.HS-PS2-4

A mass at the end of a vertical spring and a simple pendulum perform oscillations on Earth that are simple harmonic with time period T. Both the pendulum and the mass-spring system are taken to the Moon. The acceleration of free fall on the Moon is smaller than that on Earth. What is correct about the time periods of the pendulum and the mass-spring system on the Moon?

• A

• B

• C

• D

The graph shows the variation with time of the displacement of an object undergoing simple harmonic motion. At which of the following time values is kinetic energy zero?

• 0 ms

• 40 ms

• 80 ms

• 100 ms

Tags

NGSS.HS-PS3-2

The graph shows the variation with time of the displacement of an object undergoing simple harmonic motion. What is the maximum speed of the object? (Hint: the period is 160 ms and the amplitude is 32 mm)

• 39 ms^-1

• 5.0 ms^-1

• 0.20 ms^-1

• 1.3 ms^-1

Tags

NGSS.HS-PS4-1