(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

problem #62

2. Relevant equations

Torque = F * radius

Tangential accel = radius * alpha

w = mg

Kinematic equations for linear motion

3. The attempt at a solution

I tried to find the net torque and go from there.

For clockwise torque I got T = 10 * .25 = 2.5 Nm

For ccw torque I got T = 1.5g * .25 = 3.675 Nm

For net torque I then get ccwT - cwT = 1.175 Nm

I used that with Torque = I * alpha to find alpha.

1.175 = .5 * m * r^2 * alpha

1.175 = .0625 * alpha

18.8 = alpha

Then to get tangential accel I did

Accel = .25 * 18.8

accel = 4.7 m/s^2

Plug that into kinematics

.3 = .5 * 4.7 * t^2

.357 s = t

This is wrong however, the answer is .56 s.

Can anyone tell me where I went wrong? Thanks.

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# Pulley Problem: Tension on one side, Weight on another

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