Simple Harmonic Motion (DP IB Physics: HL)

A point on a guitar string S oscillates about its equilibrium position Z in simple harmonic motion.

The amplitude of the oscillation is YZ.

Which positions show when the acceleration of point S is at a maximum and the velocity of point S is at zero?

A simple pendulum and a mass-spring system oscillate about their equilibrium positions with simple harmonic motion. On Earth, the period of the oscillations is T. The pendulum and the mass-spring system are taken to Mars where the acceleration of free fall is smaller than on Earth.

Which answer best describes the period of the pendulum and the mass-spring system on Mars?

Choose the correct statement describing the quantities that remain constant for an object in SHM.

A mass-spring system oscillates with simple harmonic motion. The mass m has an amplitude A and the spring has a total energy E. The mass is increased by half and the amplitude increased to 4A.

What is the total energy in the spring?

A pendulum oscillating with simple harmonic motion has an amplitude and a maximum kinetic energy E_k.

What is the potential energy of the system when the pendulum bob is at a distance 0.4 from its maximum displacement?

Which of the following is a correct arrangement for the maximum displacement of a particle performing simple harmonic motion?

An ion in a crystal lattice structure oscillates with simple harmonic motion. The period of the oscillation is T. T is measured from equilibrium.

Which graph shows the change in kinetic energy of the ion from time t = 0 to t = ?

A simple pendulum performs simple harmonic motion. The pendulum bob has a mass m, the string has a length l, and the pendulum has a period T. 

Which is the correct value for the period T if the mass of the pendulum bob is doubled and the length of the string is halved?

A mass-spring system oscillates about its equilibrium position in simple harmonic motion. A bulb on the motion sensor lights up each time the block passes the equilibrium position.

The block has a mass m and oscillates with a period T. 

Select the new mass that would cause the period to double.

A simple pendulum oscillates with simple harmonic motion as shown.

At which positions are the acceleration at zero, the displacement at a negative maximum, and velocity at a maximum?

The following graph shows the acceleration as a function of time for a simple pendulum oscillating isochronously. 

Which of the following gives the times at which kinetic energy is at a maximum?

A mass-spring system is set up horizontally on a frictionless surface. The spring is extended to the left and released so that the mass oscillates in SHM.

Taking motion to the left to be positive, which of the following statements is correct about the motion of the mass?

An object oscillates about its equilibrium position periodically. It has a total energy E and period T. The amplitude is reduced to one quarter of the original amplitude.

What is the new total energy and period of the system?

	Total energy	Period
A.
B.
C.
D.

A simple pendulum oscillates with a time period T near the surface of the Earth. The same pendulum is moved to the surface of the Moon where the acceleration of free fall is 0.2 g.

What is the best estimate for the value of T for the pendulum near the surface of the moon?

A body of mass 0.40 kg is subjected to a force F which varies with its displacement x from a fixed point as shown in the graph below.

What is the maximum velocity of the body?

A satellite rotates clockwise around a planet of radius r with an angular velocity ω. The satellite passes position S at time zero and position P at time t. Q is the projection of P onto the diameter through S. Measured with respect to the origin O, the displacement, linear velocity and linear acceleration of Q in the direction OS are x, v, and a respectively. 

A.
B.
C.
D.

A small ball bearing oscillates in simple harmonic motion. 

Which is a correct expression for the kinetic energy per unit mass of the ball bearing?

The table below shows the values for the acceleration and displacement of a particle moving isochronously.

What is the period of the motion?

A pendulum bob is suspended by a thread. The bob is moved to the right and released so that the pendulum oscillates isochronously. 

Taking motion to the left to be positive, which of the following statements is incorrect about the motion of the pendulum?