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( 25 % ) Problem 2: Suppose you exert a force of 175 N tangential to the outer e

ID: 1787961 • Letter: #

Question

( 25 % ) Problem 2: Suppose you exert a force of 175 N tangential to the outer edge of a / 26 mi radnis 745-kg grindstone (which is a solid disk). 33% Part what is the torque r, in newton meters, you are exertin on the grindstone relative to the center of mass ofthe grindstone a Grade Summary Deductions Potest.al 100% Submissions Attempts remaining sinO cotanO asinO acos0 at acotan) sinho coshO tanhO cotamho etailed view e Degrees Radians NO Submit Feedback: deduction per feedback Hints: 4% deduction per hint Hints remaining:- 33% Part (b) what is the angular acceleration of the grindstone a-in radians per square econd, if there is an opposing 21 N exerted 0.45 m from the axis? fictional force of 33% Part (c) What is the angular acceleration of the grindstone af in radians per square s

Explanation / Answer

(A) torque = r x F = r F sin(theta)

=1.26 x 175 x sin90

= 220.5 N m


(B) torque = I alpha

220.5 = (74.5 x 1.26^2 / 2) alpha

alpha = 3.73 rad/s^2

(C) net torque = 220.5 - (0.45 x 21) = 211.05 N m  

211.05 = (74.5 x 1.26^2 /2 ) alpha

alpha = 3.57 rad/s^2