4 In this question use \(g = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }\)
An inelastic string has length 1.2 metres.
One end of the string is attached to a fixed point \(O\).
A sphere, of mass 500 grams, is attached to the other end of the string.
The sphere is held, with the string taut and at an angle of \(20 ^ { \circ }\) to the vertical, touching the chin of a student, as shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{f2470caa-0f73-4ec1-b08f-525c02ed2e67-04_739_511_676_762}
The sphere is released from rest.
Assume that the student stays perfectly still once the sphere has been released.
4
- Calculate the maximum speed of the sphere.