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The following equation describes the position ( x ) of a harmonic oscillator with mass m as a function of time ( t ): x

The following equation describes the position (x) of a harmonic oscillator with mass m as a function of time (t):

x(t) = A cos ( + )

(a) What is the differential form for the equation of motion?

(b) What is the amplitude of the oscillation?

(c) What is the maximum kinetic energy?

(d) What is the maximum potential energy?

(e) What is the oscillation frequency?

(f) What are the SI units of A and ?

(g) Explain the factor of 2 between angular frequency and oscillation frequency.

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