An adult exerts a horizontal force on a swing that is suspended by a rope of length $ L $, holding it at an angle $ \theta $ with the vertical. The child in the swing has a weight $ W $ and dimensions that are negligible. In terms of $ W $ and $ \theta $, determine:

Question

An adult exerts a horizontal force on a swing that is suspended by a rope of length $ L $, holding it at an angle $ \theta $ with the vertical. The child in the swing has a weight $ W $ and dimensions that are negligible. In terms of $ W $ and $ \theta $, determine:(a) The tension in the rope while the adult holds back the swing at rest.
, (b) The horizontal force exerted by the adult.
, (c) The adult releases the swing from rest. In terms of $ W $ and $ \theta $, determine the tension in the rope as the swing passes through its lowest point.
:

Rachel · Accepted Answer

$\boxed{T = \frac{W}{\cos(\theta)}}$
$\boxed{F = W \tan(\theta)}$
$\boxed{T = W(3 &#8211; 2\cos(\theta))}$

AP Physics 1 With Jason

AP Physics 1

Log In to Continue

Similar Questions

Tools for a 5