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).

Menu Contents Grades Course Contents » » Homework set #6 » Motion in a C A small mass M attached to a strina slides in a circ finure). The force is then increased slowly and the radius of circle (v) X. true M's angular velocity at y is twice that at M's kinetic energy at x is half that at y. that false Mic naular momentum at y is nalar momentum at y is.... that a

Answer can be true,false,less than, greater than, equal to

(if you could leave an explanation that would be great!)

M's angular velocity at y is twice that at x.
M's kinetic energy at x is half that at y.
M's angular momentum at y is .... that at x.
As M moves from x to y, the work done by F is .... 0.
While going from x to y, there is a torque on M

Answer 1

1) it is true,, becuase F = M x w1^2 and 2 F = M (x/2) w2^2 from which we see that w2 = 2w1

2) L1 = M x w1^2 and L2 = M (x/2) w2^ = 2 L1 , so it TWICE

3) true, since to torque is acting on it.

4) true

5) K1 = 1/2 M x^2 w1^2 and K2 = 1/2 M (x/2)^2 w2^2 so that we see that K2 = K1 , so it false.