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Question: A particle is oscillating according to the equation x = 7 cos 0.5 πt, where t is in second. The pa...

A particle is oscillating according to the equation
x = 7 cos 0.5 πt, where t is in second. The particle moves from the position of equilibrium to maximum displacement in time –

A

0.5 s

B

4.0 s

C

2.0 s

D

1.0 s

Answer

1.0 s

Explanation

Solution

ω = 0.5 π = π2\frac{\pi}{2}, 2πT=π2\frac{2\pi}{T} = \frac{\pi}{2} or T = 4s.

t = T4=44\frac{T}{4} = \frac{4}{4}s = 1s.