Quiz09_13solutions

The disk is of mass m 40 kg and radius r 20 m what

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Unformatted text preview: tates about an axis through the center of mass and perpendicular to the plane of the page, has two tangential forces acting on it as shown, F1 = 26 N and F2 = 14 N. The disk is of mass m = 4.0 kg and radius R = 2.0 m. What is the angular acceleration of the disk? (Take counterclockwise to be positive and use I = (1/2)mR2 for rotation of a disk around an axis through its center of mass.) Solution: Using ! net = I" = 1 mR 2" , and with CCW torque defined as positive, 2 1 F1R ! F2 R = mR 2! , or 2 != 2( F1 ! F2 ) 2(26 ! 14) = = 3.0 rad/s2 . mR ( 4.0 )(2.0 ) This is positive, so the acceleration is CCW, and the acceleration vector points out of the page. Physics 221 Quiz 9 Spring 2013 Name Section___________...
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