In simple harmonic motion, the restoring force must be proportional to the:

1 amplitude
2 frequency
3 velocity
4 displacement
5 displacement squared

An oscillatory motion must be simple harmonic if:

1 the amplitude is small
2 the potential energy is equal to the kinetic energy
3 the motion is along the arc of a circle
4 the acceleration varies sinusoidally with time
5 the derivative, dU/dx, of the potential energy is negative

In simple harmonic motion, the magnitude of the acceleration is:

1 constant
2 proportional to the displacement
3 inversely proportional to the displacement
4 greatest when the velocity is greatest
5 never greater than g

A particle is in simple harmonic motion with period T. At time t = 0 it is at the equilibrium point. Of the following times, at which time is it furthest from the equilibrium point?

1 0.5T
2 0.7T
3 T
4 1.4T
5 1.5T

A particle moves back and forth along the x axis from x = −xm to x = +xm, in simple harmonic motion with period T. At time t = 0 it is at x = +xm. When t = 0.75T:

1 it is at x = 0 and is traveling toward x = +xm
2 it is at x = 0 and is traveling toward x = −xm
3 it at x = +xm and is at rest
4 it is between x = 0 and x = +xm and is traveling toward x = −xm
5 it is between x = 0 and x = −xm and is traveling toward x = −xm

A particle oscillating in simple harmonic motion is:

1 never in equilibrium because it is in motion
2 never in equilibrium because there is always a force
3 in equilibrium at the ends of its path because its velocity is zero there
4 in equilibrium at the center of its path because the acceleration is zero there
5 in equilibrium at the ends of its path because the acceleration is zero there

An object is undergoing simple harmonic motion. Throughout a complete cycle it:

1 has constant speed
2 has varying amplitude
3 has varying period
4 has varying acceleration
5 has varying mass

When a body executes simple harmonic motion, its acceleration at the ends of its path must be:

1 zero
2 less than g
3 more than g
4 suddenly changing in sign
5 none of these

A particle is in simple harmonic motion with period T. At time t = 0 it is halfway between the equilibrium point and an end point of its motion, traveling toward the end point. The next time it is at the same place is:

1 t = T
2 t = T/2
3 t = T/4
4 t = T/8
5 none of the above

A simple pendulum makes 20 complete oscillations in 10 s. Its period is:

1 2Hz
2 10 s
3 0.5Hz
4 2 s
5 0.50 s

A simple pendulum makes 20 vibrations in 10 s. Its frequency is:

1 2Hz
2 10 s
3 0.05 Hz
4 2 s
5 0.50 s

A simple pendulum makes 20 vibrations in 10 s. Its angular frequency is:

1 0.79 rad/s
2 1.57 rad/s
3 2.0 rad/s
4 6.3 rad/s
5 12.6 rad/s

Frequency f and angular frequency ω are related by

1 f = πω
2 f = 2πω
3 f = ω/π
4 f = ω/2π
5 f = 2ω/π

In simple harmonic motion, the magnitude of the acceleration is greatest when:

1 the displacement is zero
2 the displacement is maximum
3 the speed is maximum
4 the force is zero
5 the speed is between zero and its maximum

In simple harmonic motion, the displacement is maximum when the:

1 acceleration is zero
2 velocity is maximum
3 velocity is zero
4 kinetic energy is maximum
5 momentum is maximum

In simple harmonic motion:

1 the acceleration is greatest at the maximum displacement
2 the velocity is greatest at the maximum displacement
3 the period depends on the amplitude
4 the acceleration is constant
5 the acceleration is greatest at zero displacement

If the length of a simple pendulum is doubled, its period will:

1 halve
2 be greater by a factor of √2
3 be less by a factor of √2
4 double
5 remain the same

The period of a simple pendulum is 1 s on Earth. When brought to a planet where g is one-tenth that on Earth, its period becomes:

1 1 s
2 1/√10 s
3 1/10 s
4 √10 s
5 10 s

The amplitude of oscillation of a simple pendulum is increased from 1◦ to 4◦. Its maximum acceleration changes by a factor of:

1 1/4
2 1/2
3 2
4 4
5 16

A simple pendulum of length L and mass M has frequency f. To increase its frequency to 2f:

1 increase its length to 4L
2 increase its length to 2L
3 decrease its length to L/2
4 decrease its length to L/4
5 decrease its mass to < M/4

A simple pendulum consists of a small ball tied to a string and set in oscillation. As the pendulum swings the tension force of the string is:

1 constant
2 a sinusoidal function of time
3 the square of a sinusoidal function of time
4 the reciprocal of a sinusoidal function of time
5 none of the above

A mass M is attached to an ideal massless spring. When this system is set in motion with amplitude A, it has a period T. What is the period if the amplitude of the motion is increased to 2A?

1 2T
2 T/2
3 2T
4 4T
5 T

A mass M is attached to an ideal massless spring. When this system is set in motion, it has a period T. What is the period if the mass is doubled to 2M?

1 3T
2 T/2
3 2T
4 4T
5 T

In simple harmonic motion, the speed is greatest at that point in the cycle when

1 the magnitude of the acceleration is a maximum.
2 the displacement is a maximum.
3 the magnitude of the acceleration is a minimum.
4 the potential energy is a maximum.
5 the kinetic energy is a minimum.

.An object of mass m is attached to string of length L. When it is released from point A, the object oscillates between points A and B. Which statement about the system consisting of the pendulum and the Earth is correct?

1 The gravitational potential energy of the system is greatest at A and B.
2 The kinetic energy of mass m is greatest at point O.
3 The greatest rate of change of momentum occurs at A and B.
4 All of the above are correct.
5 Only (a) and (b) above are correct.