Three forces act on the wheel shown below, giving it a constant angular accelera

Question

Three forces act on the wheel shown below, giving it a constant angular acceleration. Model the wheel as two uniform cylinders stuck together. The larger cylinder has a mass of 10 kg with a radius b = 35.0 cm and the smaller one has a mass of 5 kg with radius a = 20.0 cm. Take the rotation to be about the axle through O. If the wheel is initially at rest, determine the angular velocity of the wheel after 5 seconds. Give your answer in radians per second with a positive sign if the angular velocity is pointing out of the page and negative sign if it is into the page.

Explanation / Answer

I=I1+I2=m1r1^2/2+m2r2^2/2=.7125
total torque
10*.35+9sin(60)*.35-12cos(30)*.2=I

=5.823 rad/s^2

=0+t=-29.119rad/s

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