IBDP Physics Unit 4.1 – Oscillations: IB Style Question Bank- HL Paper 1

Question

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

A constant.

B always directed away from the centre of the oscillation.

C a maximum at the centre of the oscillation.

D a maximum at the extremes of the oscillation.

Answer/Explanation

Ans: D

ACCELERATION : The acceleration of a particle in S.H.M. is given by
or a = – ω2y
The negative sign indicates that the acceleration is directed towards the mean position
At y = A (at extreme position),  amax = – ω2A

Question

The bob of a pendulum has an initial displacement xo to the right.The bob is released and allowed to oscillate. The graph shows how the displacement varies with time. At which point is the velocity of the bob at its maximum magnitude directed towards the left?

               

Answer/Explanation

Ans: C

Question

An object performs simple harmonic motion (shm). The graph shows how the velocity v of the object varies with time t.

                   

The displacement of the object is x and its acceleration is a. What is the variation of x with and the variation of a with t ?

         

Answer/Explanation

Ans: A

The displacement, velocity and acceleration of S.H.M. vary simple harmonically with the same time period and frequency.

Phase difference between displacement – velocity is π/2 ,  Velocity – acceleration  is π/2. and between displacement and acceleration is π.