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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

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  • 1. 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