Question
A uniform solid cylinder of mass 10 kg can rotate about a frictionless axle through its center. A rope wrapped around the outer radius R1 = 1.0 m exerts a force of magnitude F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force of magnitude F2 = 6.0 N downward. (The moment of inertia of a uniform solid cylinder is I = ½ m r^2)
a) What is the angular acceleration of the cylinder?
b) How many revolutions does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?
a) What is the angular acceleration of the cylinder?
b) How many revolutions does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?
Answers
bobpursley
In getting the moment of inertia, one has to know where the mass is located. Here you have two radii: how much mass is associated in each region of radaii?
So the net trorque= I w^2
and net torque= sum of both torques. Downward and to the right does not indicate direction ir relation to spin axis. You have to write in terms of clockwise, counterclockwise motion.
So the net trorque= I w^2
and net torque= sum of both torques. Downward and to the right does not indicate direction ir relation to spin axis. You have to write in terms of clockwise, counterclockwise motion.
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