mb? + ML' sin*B mb? + ML sin*B 2MGL(sin a sin) 3), mb? + ML cos*B MgL(sina- sin ) 4)b, mb? + ML cos* B 28. Precession is the result of the angular velocity of rotation (spin) and the angular velocity produced by the torque. It is an angular velocity about a line that makes an angle 0 with the permanent rotation axis. In the diagram, a top of mass m is performing precession motion. The torque due to gravitational force causes a change in the angular momentum L in the direction of that torque causing the top to process with angular velocity , which is given by: (Given r is distance of COM from point of rotation 'P'. I, & o, are the moment of inertia and angular velocity of top about spin axis respectively)Given(@, >> o,) Sec: Jr.Super60 Space for Rough Work Page 7 Sri Chaitanya IIT Academy 19-09-2020_Jr.Super60(In Com)_Jee-Main_UTM-06_Q.P Precession axis L Spincaxis 3mgr 1). 2mgr mgr mgr 20,1s ring of radius R is rolling purely on the outer surface of a fixed pipe of radius 4R. At some instant, the center of the ring has a constant speed equal to V. Then, the acceleration of the point on the ring, which is in contact with the surface of the pipe is R 4R fixed pipe )4V? / 5R 2)3V? / 5R 3) V? / 4R zero A merry-go-round, made of a ring-like platform of radius Rand mass M, is revolving with angular speed o. A person of mass M is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round afterwards is 1)20 3) 4)0 Sec: Jr.Super60 Space for Rough Work Page 8 2973 0