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songoku
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Homework Statement
A system is given below. Pulley A has radius R and mass 2M and pulley B has radius 1/2 R and mass M. If the pulley is assumed as solid cylinder, find the acceleration of each object
Homework Equations
τ = I.α
F = m.a
a = α.R
The Attempt at a Solution
Equation of motion for block M:
ƩF = m.a
T1 - M.g = M.a1
Equation of motion for second block:
ƩF = m.a
3/2 M.g - T2 = 3/2 M . a2
Equation relating torque:
τ = I.α
I'm not sure how to find the moment of inertia of the system, is it Isystem = I1 + I2 = 1/2 (2M) (R)2 + 1/2 (M) (1/2 R) ?