Question

Please help with problem 51

Rotational Motion Problem Solving "An expert is a person who has made all the mistakes that can be nade in a vry narrow field."- Niels Bohr 51. A light flexible cable is wrapped around a cylinder of mass mi, radius R, and moment of inertia I ( MR2). The cylinder rotates about its axis without friction. The free end of the cable is attached to an object of mass m2. The object is released from rest at a height h above the floor. You may assume that the cable has negligible mass. Answer all questions in terms of m, m2, R, and h and fundamental constants. a) Draw free body diagrams of the cylinder and the object, indicating all of the forces acting on each m2 b) Find the acceleration of the falling object. c) Find the tension in the cable. d) Find the speed of the falling object just before it hits the floor 17

Answer 1

a acceleration of block mz. & anglar acc. a for Cylinder: - (Torque) C- Id I R I= 1 m, R² a mag Rx T = = I 2 for block moa mo (2) mag- T = mza 6 I - 2m, R2 weget, Rx T = I & from (1) u. RXT = 2 m, R.2 x 2 To mia substituting this value to Ear (2) Mag-T - maa Meg - min a mea

© Toamia 1 x mix 2 m2 g tm.). m, meg (2 M₂ + m,) & after getting down in height the speed of the mass. varzan - 2x 2m2.xh v (2m2 + mij