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O A constant nonzero net torque is exerted on an object. Which of the following can not be constant? Choose all that apply. (a) angular position (b) angular velocity (c) angular acceleration (d) moment of inertia (e) kinetic energy (f) location of the center of mass
Solution
VerifiedThe relationship between the net torque that acts on a body with the moment of inertia and the angular acceleration is given by:
Hence, if the torque is constant, so must be the angular acceleration and the moment of inertia .
Since the angular velocity is related to the (now constant) angular acceleration by
we conclude that is not constant.
Since the angular position is related to the (now constant) angular acceleration by
we conclude that is not constant.
As for the kinetic energy , it is also not constant since the angular velocity is not constant.
As for the location of the centre of mass , since the object does not need to be homogenous, does not need to be constant.
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