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1) one end of a light inelastic string of length a is attached to a fixed point A and a particle of mass m is attached to the other end,B. The particle is held at the same level as A,at a distance of asin x away from A,and released. find

a) the impulse in the string when it becomes tau

b) the speed of the particle immediately after the string becomes taut

c) the cosine of the angle between the string and the vertical when the particle first comes to instantaneous rest.

for the last part i can get the answer only if i know the particle goes above my PE=0 line which i chose to be at the point of the jerk. is this obviously the case?

3)

a particle P of mass 2m is attached by a light inextensible string of length a to a fixed point O and is also attached by another light inextensible string of length a to a small ring Q of mass 3m which can slide on a fixed smooth vertical wire passing through O. the particle P describes a horizontal circle with OP inclined at an angle 60 with the downward vertical.

a) find the tensions

b) show speed of P is (6ga)^1/2

c) find the period of revolution of the system

how do i find part c)? i have used v to find w (angular velocity) but this does not give me the book answer.the radius of the circle being travelled is art(3)/2 if it helps.