Answer 9 1pt Calculate the magnitude of the angular momentum

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9. [1pt]
Calculate the magnitude of the angular momentum of the wheel in the initial position shown in the diagram.

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10. [1pt]
Calculate the magnitude of the torque on the wheel about the pivot in the initial position shown in the diagram.

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11. [1pt]
Calculate the magnitude of the angular velocity with which the wheel and axle precess about the pivot point.

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Solution

8.(1) By applying right hand thumb rule, we can get the direction of anguler momentum. Which comes out to be \' i\" . Hence the answer is E.

8.(2) since the disc is rotating on its axis as well as precising on vertical plane due to gravity, so the gyeroscopic couple will act on it. The direction of this couple will be along z-axis. so answer is \'k\' i.e A.

8.(30) the gyroscopic couple will move the disc in xy plane in counter clockwise direction when viewed from top.

9. Anguler momentum= I X w

= 0.960x440

= 422.4