(Multiple choice)

(1) True/false

(a) In simple harmonic motion, the period is proportional to the square of the amplitude. 

(b) In simple harmonic motion, the frequency does not depend on the amplitude. 

(c) If the acceleration of a particle is proportional to the displacement and oppositely directed, the motion is simple harmonic.

(2)

An object attached to a spring has simple harmonic motion with an amplitude of 4.0 cm. When the object is 2.0 cm from the equilibrium position, what fraction of its total energy is potential energy? 

(a) One-quarter 

(b) One-third 

(c) One-half

(d) Two-thirds 

(e) Three-quarters

(3) True and False

(a) For a given object on a given spring, the period is the same if the spring is vertical or horizontal. 

(b) For a given object oscillating with amplitude A on a given spring, the maximum speed is the same if the spring is vertical or horizontal.

(4)

Herb plans to ring in the new year by playing trombone while oscillating up and down on a spring that hangs down from a building at Times Square in New York City . He intends to oscillate with a period of one second to synchronize with the crowd as it counts down to midnight. If he uses a spring with a spring constant of 3000 N/m, Herb must be sure that the total of his vibrating mass adds up to 

(a) 3000 kg. 

(b) √3000 kg. 

(c) 4π²(3000) kg. 

(d) 3000/4π² kg. 

(e) None of the above.

(5) True or false:

The motion of a simple pendulum is simple harmonic for any initial angular displacement.