Topic C.1 P1 Quiz

Which pendulum has the shortest period?

• A

• B

• C

• D

Which graph shows the variation with time of the kinetic energy (KE) of an object undergoing simple harmonic motion (shm) of period T?

• A

• B

• C

• D

A mass on a spring is displaced from its equilibrium position. Which graph represents the variation of acceleration with displacement for the mass after it is released?

• A

• B

• C

• D

Object P moves vertically with simple harmonic motion (shm). Object Q moves in a vertical circle with a uniform speed. P and Q have the same time period T. When P is at the top of its motion, Q is at the bottom of its motion.

What is the interval between successive times when the acceleration of P is equal and opposite to the acceleration of Q?

• T/4

• T/2

• 3T/4

• T

A particle performs simple harmonic motion (shm). What is the phase difference between the displacement and the acceleration of the particle?

• 0

• π/2

• π

• 3π/2

An object at the end of a spring oscillates vertically with simple harmonic motion (shm). The graph shows the variation with time t of the displacement x of the object.

What is the velocity of the object?

• -2πA/T * sin(πt/T)

• 2πA/T * sin(πt/T)

• -2πA/T * cos(πt/T)

• 2πA/T * cos(πt/T)

The motion of an object is described by the equation

acceleration ∝ -displacement.

What is the direction of the acceleration relative to that of the displacement and what is the displacement when the speed is a maximum?

• A

• B

• C

• D

 An object undergoes simple harmonic motion (shm) of amplitude x₀. When the displacement of the object is x_0/3, the speed of the object is v. What is the speed when the displacement is x₀?

• 0

• v/3

• √2v/3

• 3v

A simple pendulum and a mass-spring system oscillate with the same time period. The mass of the pendulum bob and the mass on the spring are initially identical. The masses are halved.

• √2⁄2

• 1

• √2

• 2

An object moves with simple harmonic motion. The acceleration of the object is

• constant

• always directed away from the centre of the oscillation

• a maximum at the centre of the oscillation

• a maximum at the extremes of the oscillation