A child of mass m is sitting on a swing suspended by a rope of length L. The swing and the rope have negligible mass and the dimension of child can be neglected. Mother of the child pulls the swing till the rope makes an angle of `theta_(0)=1` radian with the vertical. Now the mother pushes the swing along the arc of the circle with a force `F=(Mg)/2` and releases it when the string gets vertical. How high will the swing go? [Take cos(1 radian) `~= 0.5`]

Answer

The swing gets horizontal