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Acceleration and Inertia

by xshezsciencex
Tags: acceleration, angular, energy, tension
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xshezsciencex
#1
Nov22-09, 09:47 PM
P: 10
A uniform sphericall shell of mass=4.5kg and radius= 8ck can rotate about a vertical axis on frictionless bearings. A massless cord passes around the equator of the shell, over a pulley of rotational inertia, I = 3.0 * 10^2 and radius = 5.0cm and is attached to a small object of mass = 0.60kg.

Using Newtonian dynamics and rotational motion:
(a) Find the acceleration of the block
(b) the angular acceleration of the shell and pulley
(c) the tensions in the cord.
(d) Let the small object start from rest at t=0. Use energy considerations to find the speed of the object when it has fallen 82cm.

Formulas I calculated

ma= mg-T
alpha= acceleration/radius
torque= I0*alpha
torque= Isp * alphasp
alphasp=acceleration/radius
torque/radius= Tension - Tension^1
Tension^1= tension^1/r
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