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Simple Harmonic Motion

Q- A small block of mass 80 g is oscillating on a spring. The equation of motion for its position x as a function of time is given by

                   x(t) = (5.0 cm) cos (10t + π/4)

(a) what is the amplitude of the oscillation?

(b) What is the period of oscillation?

(c) What is the position of the block at t = 5 sec?

(d) What is the velocity of the block at t = 5 sec?

(e) What is the maximum velocity of the block?

(f) What is the maximum potential energy of the system?

(g) What is the acceleration of the block at t = 5 sec?

Solution:

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