A particle of mass M and a particle m are attached to the ends of a light, inextensible string which passes over a smooth fixed pulley. The system is released from rest, with the string taut, as shown in the figure.
Assume M > m.
(a) Find the acceleration of each object.
(b) Find the tension of the string.
(c) What would happen if m < M? Explain.
(3) An object at the end of the string of length moves in a horizontal circle of radius R, as shown in the figure below. Given the speed of the object is 7 m/s and the radius is 257 m, find the value of θ.
