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A particle is oscillating according to the equation X = 7 cos 0.5 t, where 't' is in second. The point moves from the position of equilibrium to maximum displacement in time:

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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 point moves from the position of equilibrium to maximum displacement in time:

Options

  • 4.0 Second

  • 2.0 Second

  • 1.0 Second

  • 0.5 Second

MCQ
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Solution

1.0 Second

Explanation:

x = 7 cos 0.5 πt general form of equation.

x = A cos ωt

Given equation compare with standard form

ω = `(2pi)/"T"` = 0.5 π;

T = 4 s

Now, T = `"T"/4`

= `4/4`

= 1 s 

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Displacement as a Function of Time
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