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Force, Velocity, Potential Energy (Energy Law)

A girl has a mass of 40kg and center of mass at G. If she is swinging to a maximum height defined by theta = 60 deg, determine the force developed along each of the four supporting posts such as AB at the instant theta = 0 deg. The swing is centrally located between the posts.

*See attachment for diagram


Solution Preview

Because, the potential energy at the maximum displacement, with respect to theta=0,
U = m*g*h
h = l - l*cos(60)
l = 2 m
=> h = 2*(1 - 0.5) = 1 m

The ...

Solution Summary

The solution provides a step-by-step calculation for the force developed by a girl swinging at maximum height on a swing.