Problem 7-51 Energy cons. - Part 2 - B
A boy is playing with a rope tied to a tree near his favourite swimming hole. Initially the boy is stationary and the rope (of length \(3.7 \;m\)) makes an angle of \(48^\circ\) with the vertical. He then lifts his feet slightly and starts to swing freely. If air resistance is neglected, use conservation of energy to determine:
(a) his speed at the bottom of the swing
(b) the minimum height, relative to his initial position, to which he can swing.
No. With the origin at point 2 the best choice for \(E_P\) is not \(mgh\).