A uniform circular ring of mass m and radius R is placed freely on a horizontal smooth surface as shown in figure. A particle of mass m is connected to the circumference of the ring with a massless string. The particle is imparted velocity v 0 perpendicular to length of string as shown. If T is tension in the string just after the particle imparted velocity, then Acceleration of point P at this instant, is

Question

A uniform circular ring of mass m and radius R is placed freely on a horizontal smooth surface as shown in figure. A particle of mass m is connected to the circumference of the ring with a massless string. The particle is imparted velocity v 0 perpendicular to length of string as shown. If T is tension in the string just after the particle imparted velocity, then Acceleration of point P at this instant, is, 4 T 3 m, T m, 2 T m, 3 T 2 m

MARKS App · Accepted Answer

Calculate acceleration of each in ground frame. T = m a c T . R = m R 2 α T = m R α a P = ( a C + α R ) T = m a c ⇒ a c = α R a p = 2 T m

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