A small mass M attached to a string slides in a circle (x) on a frictionless hor

Question

A small mass M attached to a string slides in a circle (x) on a frictionless horizontal table, with the force F providing the necessary tension (see figure). The force is then increased slowly and then maintained constant when M travels around in circle (y). The radius of circle (x) is twice the radius of circle (y). While going from x to y, there is a torque on M. As M moves from x to y, the work done by F is .. 0. M's angular momentum at x is .. that at y. M's angular velocity at y is four times that at x. M's kinetic energy at y is four times that at x.

Explanation / Answer

(1)whie going from x to y ,there is a torque on M =false

since angular momentum is conserved ,net torque is zero

(2) As M moves from x to y ,the work done by F is greater than zero as change in kinetic energy is positive

(3) M's angular momentum at x is equal to that at y

(4)M's angular velocity at y is four times that at y =false

it is 1.414.times that at x

(5) false

it is double

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