A body executing angular SHM has angular amplitude of 0.4 radian and time period of 0.1 s . If angular displacement of the body is 0.2 radian from the center of oscillation at time
, then write the equation of angular displacement.
Text Solution
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The equation of angular displacement is given by
Here,
radian
Also, time period is given. Hence, we can determine angular frequency,
, as :

Putting these values, the expression of angular displacement is:

We, now, need to determine the phase constant for the given initial condition. At
radian. Hence,

Putting in the expression, the angular displacement is given by:

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