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.