A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of 0.78 m and a mass of 0.60 kg. The rod has a length of 1.30 m and a mass of 0.42 kg. The rod is placed on a fulcrum (pivot) X = 0.44 m from the left end of the rod. (a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum. 4.66 x kg m? (b) Calculate the torque about the fulcrum, using CCw as positive. 6.3 Nm (c) Calculate the angular acceleration of the contraption, using CCW as positive. x rad/s2 (d) Calculate the linear acceleration of the right end of the rod, using up as positive.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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Problem 65P: A long, uniform rod of length L and mass M is pivoted about a frictionless, horizontal pin through...
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A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of 0.78 m and a mass of 0.60 kg. The rod has a length of 1.30 m and a mass of 0.42 kg. The rod is placed on a fulcrum (pivot) at
X = 0.44 m from the left end of the rod.
(a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum.
4.66 x kg m2
(b) Calculate the torque about the fulcrum, using CCW as positive.
6.3
N m
(c) Calculate the angular acceleration of the contraption, using CCW as positive.
X rad/s2
(d) Calculate the linear acceleration of the right end of the rod, using up as positive.
m/s2
Transcribed Image Text:A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of 0.78 m and a mass of 0.60 kg. The rod has a length of 1.30 m and a mass of 0.42 kg. The rod is placed on a fulcrum (pivot) at X = 0.44 m from the left end of the rod. (a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum. 4.66 x kg m2 (b) Calculate the torque about the fulcrum, using CCW as positive. 6.3 N m (c) Calculate the angular acceleration of the contraption, using CCW as positive. X rad/s2 (d) Calculate the linear acceleration of the right end of the rod, using up as positive. m/s2
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