Question

An object of mass of 2.7 kg is attached to a spring with a force
constant of k = 280 N/m.

At t = 0, the object is observed to be 2.0 cm from its equilibrium
position with a speed of

55 cm/s in the -x direction. The object undergoes simple harmonic
motion “back and

forth motion” without any loss of energy.

(a) Sketch a diagram labeling all forces on the object and
calculate the maximum

displacement from equilibrium of the motion, in units of cm.

(b) Calculate the maximum speed of the motion, in units of cm/s.

(c) Find the angular frequency of the system (ω), in units of
rad/s.

(d) Find ax(t), the acceleration of the block as a function of
time.

Answer #1

Maximum displacement

Maxximum speed

Angular speed

Acceleration as function of time

Here all angles are in radian.

in case of initial phase in degree.

Thanks for asking.

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