Question

A wheel in the shape of a uniform disk of radius R and mass mp is mounted on a frictionless horizontal axis. The wheel has moment of inertia about the center of mass Icm=(1/2)mpR2 . A massless cord is wrapped around the wheel and one end of the cord is attached to an object of mass m2 that can slide up or down a frictionless inclined plane. The other end of the cord is attached to a second object of mass m1 that hangs over the edge of the inclined plane. The plane is inclined from the horizontal by an angle θ . Once the objects are released from rest, the cord moves without slipping around the disk. Find the magnitude of accelerations of each object, and the magnitude of tensions in the string on either side of the pulley. Assume that the cord doesn't stretch (a1=a2=a). Express your answers in terms of the masses m1, m2, mp, angle θ and the gravitational acceleration due to gravity near earth's surface g (enter m_1 for m1, m_2 for m2, m_p for mp, theta for θ and g for g).


a1=a2=a=


T1= (where the string is connected to m1)


T2=(where the string is connected to m2)

Answer 1

http://ocw.mit.edu/courses/physics/8-01sc-physics-i-classical-mechanics-fall-2010/two-dimensional-rotational-motion/two-dimensional-rotational-dynamics/MIT8_01SC_problems21_soln.pdf

Answer 2

Its a different question.. please help