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steakums
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Homework Statement
Consider a uniform 10-kg circular disk with diameter .4m. The disk is free to rotate about a horizontal axis through its center. A (massless) cord wrapped around the disk passes over a 2-kg pulley, P, with diameter .2m and is attached to a 25-kg mass. The pulley's mass distribution is non-uniform, so its moment of inertia may be estimated as I=(3/4)*(m(r^2)). When the hanging mass is released from rest, it descends 1.2 m to the ground. Find
A) The acceleration of the hanging mass.
B)The tension in the cord
C)The angular velocity of the pulley when the mass reaches the ground.
Homework Equations
ma=mg-T
I=(3/4)*(m(r^2))
a=(αr)
τ=Iα
The Attempt at a Solution
I am having trouble with part A. I know that to find the acceleration I obviously have to solve for the tension in the cord but solving for the tension is part B. I also know that the tension in the rope will be uniform throughout, so I should be able to substitute in terms I know to be able to solve for acceleration. However, I cannot figure out how I am supposed to solve for acceleration in this case. Any help is appreciated.