A car of mass Mc is connected to mass m2 by a string. The string passes over a solid cylindrical pulley, which has a frictionless bearing, of radius R and mass M. when the system is released from rest the string doesn't slip, the car moves down the incline, and m2 moves upward through a distance h'( picture shows the box hanging a little distance off the pulley and h' starts from the middle of the box from the almost bottom of the triangle ramp where the box was hanging to the middle of the box where it actually is after moving)

Question

simple picture below
---- o------
car/| box on right
-----------
a) draw a free body diagram for Mc, m2, M

I drew the car Mc with the normal force, friction force and tension force, force of gravity Fmg and their components x and y.

b) Use the dynamical equations of motion to find the components of the net force aceting on and net torque acting on M.

WHAT IS A DYNAMIC EQUATION??? I looked it up online and got nowhere..can I just say that the cars are not moving or does the dynamic equation involve the movement??

How would I find the net torque acting on the pulley M?

c) Use the results of b) to derive a expression for the translational aceleration for the masses in terms of Mc, m2, M, h' and the coefficient of friction

well I don't get b) but how would I do this part from what I get in b?

Please help me..

Answer 1

****O
*C/*|B-
*/**|*| h'
/___|*-

well I tried to draw
a better picture...

c= car
B= box
h'= height traveled by box (lookes exactly like that with the line in the middle of the box and the line almost at the bottom with a see through box (where box was at bottom) but line for h' goes and is at the middle of that one)

O= pulley

Answer 2

that looks horible after entering that...just eliminate the | line in the middle of the triangle ramp and imagine that right next to the h' to make a I.

****O
*C/*|B-
*/***|*| h'
/___|*-