Problem 6-23 Centripetal force - Part 2 - A

A child has tied a piece of wood of mass \(0.47\; kg\) to a string and is swinging it in a vertical circle of radius \(83\; cm\). At the top of the circle:

(a) draw a free body diagram for the wood,
(b) determine the magnitude of the tension in the string, if the speed of the wood is \(3.7 \;m/s\).

Accumulated Solution

FBD with forces and directions indicated


\(mg + T = m(v^2/r)\)

Therefore \(T = m[(v^2/r) - g] = (0.47)[(3.7^2/0.83) - 9.8] = 3.1 \;N\)


You have completed this problem.