A puck is moving in a circle of radius r with a constant speed $$V0$$ on a level frictionless table. A string is attached to the puck which holds it in the circle. The string passes through a frictionless hole and is attached on the other end to a hanging object of mass M. The puck is now made to move with a speed $$v=3v0$$ but still in circle. The mass of the hanging object is left unchanged. The acceleration a of the puck and the radius r of the circle are now given by (a0$$ is the initial acceleration of the $$puck)

Question

A puck is moving in a circle of radius r with a constant speed  $$V0$$ on a level frictionless table. A string is attached to the puck which holds it in the circle. The string passes through a frictionless hole and is attached on the other end to a hanging object of mass M. The puck is now made to move with a speed $$v=3v0$$ but still in circle. The mass of the hanging object is left unchanged. The acceleration a of the puck and the radius r of the circle are now given by (a0$$ is the initial acceleration of the $$puck)

Infinity Learn · Accepted Answer

[Concept]:  $$T=mV2R$$,and $$T=mg$$[Step $$1$$]:   $$mv02r0=mg(v=v0$$,$$r=r0)m3v02r1=mgr1=9r0$$[Step $$2$$]:   $$a0=v02r0a1=3v029r0$$[Step $$3$$]:   $$=a1=a0$$

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