A mass is attached to the end of a spring and set into oscillation on a horizont

Question

A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position of x = +0.150 m. The mass of the block is m = 0.467 kg, the force constant of the spring is k = 75.3 N/m. Determine the following.

(a) force component that the spring exerts on the block just before the block is released (Indicate the direction with the sign of your answer.)
?? N

(b) angular frequency ? of the resulting oscillatory motion
??rad/s

(c) maximum speed of the oscillating mass
??m/s

(d) magnitude of the maximum acceleration of the oscillating mass
?? m/s2

Explanation / Answer

#a) F = -k*dx = -75.3*0.15 = -11.295 N

#b) w = sqrt(K/m) = 12.7 rad/s

#c) V = A*w = 0.15*12.7 = 1.905 m/s

#d) amax = -w^2*A = - 24.1935 rad/s^2

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