Particle of mass m moves under the influence of force f =a( sinwt i^ +coswt j^) where a ,w are constants and t is time . the particle is initially at rest atthe origin . the instantaneous power given to the particle is
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Given that,
Mass = m
Time = t
Force
We need to calculate the acceleration
Using formula of force
We need to calculate the velocity
Using formula of velocity
At t = 0, v = 0
Then the value of C will be
Put the value of C
We need to calculate the work
Using formula of work
We need to calculate the power
Using formula of power
Put the value in to the formula
Hence, The instantaneous power given to the particle is
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Explanation:
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