Oscillations (DP IB Physics: HL)

A mass-spring system is oscillating with simple harmonic motion.

What is the total energy of the object proportional to?

Which line identifies quantities which always have opposite directions during simple harmonic motion?

The graph shows the variation with time t of the acceleration a of an object X undergoing simple harmonic motion (SHM).

A second object Y oscillates with the same frequency as X but with a phase difference of  .

Which graph shows how the acceleration of object Y varies with t?

A particle, P, oscillates on the line XZ about its equilibrium point Y, in simple harmonic motion.

At the point shown, which statement could be correct about the motion of the particle?

A pendulum is undergoing simple harmonic motion with a time period T and angular frequency ω.

A student makes a change to the set up so that the pendulum has a new time period 3T.

What is the new angular frequency?

A pendulum is made to swing by a student pulling the bob to the left and releasing it. The student is careful to displace the bob by only a small amount.

After two full oscillations, the motion of the pendulum is plotted on a graph.

At which point is the velocity of the bob towards the right?

A mass is attached to a vertical spring and allowed to reach equilibrium. It is then displaced by a distance d and released. The total energy and time period are E_T and T respectively.

In a second investigation the same mass-spring system travels twice as fast.

Which line correctly identifies the total energy and time period of the second oscillations?

	ET	T
A.	2E
B.	4E
C.	2E	2T
D.	4E	T

Which of the following graphs shows the variation with displacement x of the speed v of a particle performing simple harmonic motion?

Which graph correctly represents the relationship between acceleration, a, and displacement, x, in simple harmonic motion?

The graph shows the motion of an oscillating body.

What is the frequency of the oscillation?

When an object oscillates in simple harmonic motion, a restoring force acts toward the equilibrium position.

Which graph shows the restoring force, F, as a function of displacement, x?

The graph below shows the displacement as a function of time for a particle in SHM.

At certain points in the oscillation, the acceleration and velocity act in opposite directions. 

Which letter indicates such a point?

A mass is attached to a spring from above and the spring is secured to a clamp. The mass is pulled down and released resulting in a simple harmonic oscillation. 

Which one of the following statements is true?

A pendulum bob on a string oscillates in SHM with a frequency, f. 

The period, T, of a simple pendulum is related to the length of the string, l, and the acceleration of free fall, g, by the following equation:

What would the ratio be of the original frequency to the new frequency if the length of the string was increased by a factor of 4?

A simple pendulum oscillates in SHM.

Which row correctly describes the force, F, acceleration, a, and velocity, v, at position Y?

The total energy, E_T, of a mass-spring system in SHM is related to the mass, m, angular speed, ω, and the amplitude, A, by the following equation:

What is the ratio of the original amplitude to the new amplitude if the mass is reduced by a factor of 4 and the angular speed is halved?

A mass spring system is set up so that the mass glides on a frictionless surface between two springs on a horizontal bench. The mass-spring system performs SHM

Which of the following statements is true?

A mass-spring system has a period, T, mass, m, and a spring constant, k. These quantities are related by the following equation:

A new spring has a spring constant of 3 times the original value.

Using this new spring, which mass would cause the period, T, to decrease by a factor of 6?

The graph below shows the kinetic energy of a simple pendulum as a function of time. The time period of the pendulum is T. 

What does the length of the line JK represent?

The period, T, of a simple pendulum depends upon the length of the string, l, and the acceleration of free fall, g, as defined by the following equation:

If the length of the string was reduced by a factor of 5, what would be the resulting period of the new oscillator?