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Please give solution of given problem in attachement

Please give solution of given problem in attachement

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Grade:12th pass

1 Answers

Arun
25750 Points
3 years ago
we know, from Newton's 2nd law, F = ma = m(dv/dt) = sint
 
so, m dv/dt = sint
 
or, m\int{dv}=\int\limits^t_0{sint}\,dt
 
or, mv=[-cost]^t_0
 
or, mv = 1 - cost
 
again, v = dx/dt
 
so, m(dx/dt) = 1 - cost
 
or, m\int{dx}=\int\limits^t_0{(1-cost)}\,dt
 
or, mx=[t-sint]^t_0
 
or, mx=t-sint
 
here, at t = 0, x = 0 and v = 0
 
so, now check from which option it is possible.
 
option (D) x = sint -1/2 Sint follow the above conditions .
 
hence, option (D) is correct choice.

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