Question

Course Contents> ... >> Torque - 1 Prabs > Chapter 8, Extra Problem 30 - Timer Nobas Evaluate Feedback Priet In A cable passes over a pulley. Because of friction, the tension in the cahie is not the same or opposite sices of the pulley. The force on one side s 139 N, and the force on the other side is 101 N. Assuming that the pulley is a uniform disk of mass 2.06 kg and radius 0.750 m, determine its angular acceleration. Submit Answer Tries 0/10 This discussion is closed. Send Feedback 201211212

Answer 1

We know that

Torque and angular acceleration are related by,

T = I$\alpha$

Since it is a disk, I = 0.5MR²

Here T is the net torque,T = (F₁-F₂)R

putting the values

(F₁-F₂)R =0.5MR²*$\alpha$

$\alpha$ = (F₁-F₂) /(0.5MR) = (139-101)/(0.5*2.06*0.75)

$\alpha$ = 8.255 rad/s²