Question

A block attached to a horizontal spring is pulled to the right a distance of 21.0 cm from the equilibrium position. The block is released and the block-spring system undergoes SHM at f- 1.29 Hz. Assuming that positive is to the right, determine at 0.500 s after release the block's displacement, velocity, and acceleration. Neglect friction. (Indicate the direction with the sign of your answer) (a) displacement cm (b) velocity cm/s (c) acceleration cm/s2

Answer 1

Concepts used in the answer:- equation of simple harmonic motion have been used in solution

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a) w = 2pi f = 8.105 rad/s x = A cos wt, A = 21 cm Put t = 0.55 so, x = -12.87 cm b) V = dx/dt = -A w sin wt t = 0.55 So, V = 134.5 cm/s c) a = dv/dt = -A w^2 cos wt, t = 0.55 = 845.6 cm/s^2