Horizontal Force on a swing?

Travis Nelson

New member
An adult exerts a horizontal force on a swing that is suspended by a rope of length L, holding the swing and child at rest at an angle ? with the vertical. The child in the swing has a weight W and dimensions that are negligible compared to L. The weights of the rope and seat are negligible.

In terms of W and ?, determine
a) the tension in the rope
b) the horizontal force exerted by the adult

The adult now releases the swing from rest. Just after release, when the swing is instantaneously at rest:
c) Draw a sketch that clearly shows the direction of the acceleration of the child.
d) In terms of some or all of the quantities W, ?, and g, determine the magnitude of the acceleration of the child.
e) In terms of some or all of the quantities W, ?, and g, determine the tension in the rope.
 
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