1) A simple harmonic oscillator oscillates with frequency f when its amplitude i

Question

1) A simple harmonic oscillator oscillates with frequency f when its amplitude is A. If the amplitude is now doubled to 2A, what is the new frequency?

A) 2f

B) 4f

C) f

D) f/2

E) f/4

2) An object attached to an ideal spring executes simple harmonic motion. If you want to double its total energy, you could:

A) double the amplitude of vibration.

B) double force constant (spring Constant) of the spring.

C) double both the amplitude and force constant (spring constant).

D) double the mass.

E) double both the mass and amplitude of vibration.

Explanation / Answer

1) new frequency is f only as f and A are independent

2) TO DOUBLE THE TOTAL ENERGY WE NEED TO DOUBLE THE SPRING CONSTANT

BECAUSE

U=1/2kx^2

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