The pulley shown in figure is made using a thin rim and two rods of length equal to diameter of the rim. The rim and each rod have a mass of 
. Two blocks of mass of 
and 
are attached to two ends of a light string passing over the pulley, which is hinged to rotate freely in vertical plane about its center. The magnitudes of the acceleration experienced by the blocks is 
(assume no slipping of string on pulley).
Text Solution
Verified by ExpertsB
The pulley consists of a rim (mass 
) and two rods (each mass 
) forming a diameter structure.
The moment of inertia is: 
.
For the Atwood pulley system, applying Newton's second law:
Mass 
(upward): 
Mass 
): 
Pulley rotation: 
Thus: 
Substituting: 
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