A solid sphere, shown in Figure 3, has radius R = 0.25 m and mass M = 20 kg. The line AB passes through the center of the sphere. The sphere is initially at rest. A constant torque is applied to the sphere, causing it to rotate as shown. The magnitude of torque, about axis AB, is t = 10 N · m. No other torques act on the sphere. Suppose this constant torque is applied until the sphere has rotated through an angle of 5 radians. Calculate the sphere's angular velocity. In other words, what is the final angular velocity of the sphere after it has rotated through an angle of 5 radians under a constant torque of 10 N · m? %3D A M R B

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A solid sphere, shown in Figure 3, has radius R = 0.25 m and mass M =
20 kg. The line AB passes through the center of the sphere. The sphere
is initially at rest. A constant torque is applied to the sphere, causing it
to rotate as shown. The magnitude of torque, about axis AB, is t =
10 N · m. No other torques act on the sphere. Suppose this constant
torque is applied until the sphere has rotated through an angle of 5
radians. Calculate the sphere's angular velocity. In other words, what
is the final angular velocity of the sphere after it has rotated through an
angle of 5 radians under a constant torque of 10 N · m?
А
M
R
B
Figure 3
Transcribed Image Text:A solid sphere, shown in Figure 3, has radius R = 0.25 m and mass M = 20 kg. The line AB passes through the center of the sphere. The sphere is initially at rest. A constant torque is applied to the sphere, causing it to rotate as shown. The magnitude of torque, about axis AB, is t = 10 N · m. No other torques act on the sphere. Suppose this constant torque is applied until the sphere has rotated through an angle of 5 radians. Calculate the sphere's angular velocity. In other words, what is the final angular velocity of the sphere after it has rotated through an angle of 5 radians under a constant torque of 10 N · m? А M R B Figure 3
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