Two particles A and B of respective masses M(B) and M(A) are connected together by means of an inextensible string of negligible mass. The string passes over the groove of a pulley of negligible mass.

Question

At instant to=0 the system S(pulley,mass,string) is left without initial velocity with particle B being at distance h from the axis of the pulley .The reference level of gravitational potential energy is that of a horizontal plane containing the axis of the pulley and particle A. (neglect friction)

a) calculate at to=0 the mechanical energy of the system in terms of M(B), g, and h.
b) calculate the mechanical energy of the system after covering a distance x .
c) calculate by applying the principle of the conservation of mechanical energy ,the velocity v of A or B in terms of x, M(A), M(B), and g. Deduce the acceleration of the motion.

Answer 1

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