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 0.44 kg. The rod has a length of 1.28 m and a mass of 0.54 kg. The rod is placed on a fulcrum (pivot) at X = 0.50 m from the left end of the rod. (a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum. x kg m2 (b) Calculate the torque about the fulcrum, using CCW as positive. N m (c) Calculate the angular acceleration of the contraption, using cCW as positive. rad/s2 (d) Calculate the linear acceleration of the right end of the rod, using up as positive. m/s2

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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 0.44 kg. The rod has a length of 1.28 m and a mass of
0.54 kg. The rod is placed on a fulcrum (pivot) at X = 0.50 m from the left end of the rod.
(a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum.
X kg m2
(b) Calculate the torque about the fulcrum, using CCW as positive.
N m
(c) Calculate the angular acceleration of the contraption, using CCW as positive.
|rad/s?
(d) Calculate the linear acceleration of the right end of the rod, using up as positive.
m/s?
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 0.44 kg. The rod has a length of 1.28 m and a mass of 0.54 kg. The rod is placed on a fulcrum (pivot) at X = 0.50 m from the left end of the rod. (a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum. X kg m2 (b) Calculate the torque about the fulcrum, using CCW as positive. N m (c) Calculate the angular acceleration of the contraption, using CCW as positive. |rad/s? (d) Calculate the linear acceleration of the right end of the rod, using up as positive. m/s?
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