The displacement d of an object at time t seconds is given b

The displacement d of an object at time t seconds is given by the equation d = 5 cos (pi/2 t) Describe motion of the object What is the maximum displacement from its resting position What is the time required for one oscillation What is the frequency

Solution

d = 5cos(pi*t/2)

a) Motion is sinusoidal with time period and amplitude

b) Max. displacement = +5

c) Period = 2pi/ (pi/2) = 4 sec

d) frequency = 1/period = 1/4 per sec