# Acceleration and Inertia

by xshezsciencex
Tags: acceleration, angular, energy, tension
 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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