AP1 Unit 6

Given equation of SHM, x=0.34 cos 3000t where x in mm and t in second. The frequency is:

• 3000 Hz

• 3000/2π Hz

• 0.74/2π Hz

• 3000/π Hz

The amplitude and period in a SHM is 0.5 m and 0.4 s respectively. The equation of SHM will be:

• x=0.5 sin 5πt

• x=0.5 sin 4πt

• x=0.5 sin 2.5πt

• x=0.5 sin 0.8πt

When is a pendulum in simple harmonic motion?

• Never

• All the time

• only at large angles

• only at small angles

Objects with different masses are hung on a spring. The diagram shows how much the spring stretches. What is mass M?

• 175 g

• 150 g

• 200 g

• 166 g

What are the two requirements for a simple harmonic oscillator?

• The object vibrates about the equilibrium point and the restoring force is proportional to the displacement

• The object moves left to right and the restoring force is proportional to the displacement

• The object vibrates about the equilibrium and the restoring force is greater than the displacement

• The object moves left to right and the restoring force is greater than the displacement

The graph shows the variation with time of the displacement of an object undergoing simple harmonic motion. At which of the following time values is kinetic energy zero?

• 0 ms

• 40 ms

• 80 ms

• 100 ms

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.

The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which one of the following is also doubled?

• the time period

• the total energy

• the maximum velocity

• the maximum acceleration

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.

An object swings on the end of a cord as a simple pendulum with period T. Another object oscillates up and down on the end of a vertical spring. also with period T. If the masses of both objects are doubled. what are the new values for the Pendulum Period, TP, and the Spring Period, Ts?