Homework SourseA uniform disk of mass M120 kg and radius R075 m is free to
A uniform disk of mass M=12.0 kg and radius R=0.75 m is
free to rotate about a frictionless axle through its center. A cord is wrapped around the
rim of the disk and is pulled with a steady tension of T=100 N. As the cord is unwound, the
disk rotates, and we assume that there is no slippage between the cord and the rim of the
disk. If the disk starts from rest, find the (a) angular velocity
free to rotate about a frictionless axle through its center. A cord is wrapped around the
rim of the disk and is pulled with a steady tension of T=100 N. As the cord is unwound, the
disk rotates, and we assume that there is no slippage between the cord and the rim of the
disk. If the disk starts from rest, find the (a) angular velocity
Solution
= r X T = I
0.75 x 100 = 12 x 0.752 /2 x
= 22.22 rad/s2
f2 - i2 = 2 .....as its rotate one revolution
2 - 0 = 2 X 22.22 x 2
= 16.71 rad/s
