SHM quiz

Maximum velocity is

A particle of mass m oscillates in a straight line with simple harmonic motion of constant amplitude. The total energy of the particle is E. What is the total energy of another particle of mass 2m, oscillating with simple harmonic motion of the same amplitude but double the frequency?

• E

• 2E

• 4E

• 8E

A particle oscillates with undamped simple harmonic motion. Which one of the following statements about the acceleration of the oscillating particle is true?

• It is least when the speed is greatest.

• It is always in the opposite direction to its velocity.

• It is proportional to the frequency.

• It decreases as the potential energy increases.

Which one of the following gives the phase difference between the particle velocity and the particle displacement in simple harmonic motion?

A particle, whose equilibrium position is at Q, is set into oscillation by being displaced to P, 50 mm from Q, and then released from rest. Its subsequent motion is simple harmonic, but subject to damping. On the first swing, the particle comes to rest momentarily at R, 45 mm from Q.

• P

• Q

• R

• P and R

A body moves in simple harmonic motion of amplitude 0.90 m and period 8.9 s. What is the speed of the body when its displacement is 0.70 m?

A body is in simple harmonic motion of amplitude 0.50 m and period 4π seconds. What is the speed of the body when the displacement of the body is 0.30 m?

• zero

A ball bearing rolls on a concave surface, as shown in the diagram, in approximate simple harmonic motion. It is released from A and passes through the lowest point B before reaching C.

It then returns through the lowest point D. At which stage, A, B, C or D, does the ball bearing experience maximum acceleration to the left?

• A

• B

• C

• D

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