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A uniform disc with radius ๐‘Ÿ and a mass of ๐‘š kg is mounted centrally on a horizontal axle of negligible mass and length of 1.5๐‘Ÿ. The disc spins counter-clockwise

A uniform disc with radius ๐‘Ÿ and a mass of ๐‘š kg is mounted centrally on a horizontal axle of negligible mass and length of 1.5๐‘Ÿ. The disc spins counter-clockwise

Q. A uniform disc with radius ๐‘Ÿ and a mass of ๐‘š kg is mounted centrally on a horizontal axle of negligible mass and length of 1.5๐‘Ÿ. The disc spins counter-clockwise about the axle with angular speed ๐œ”, when viewed from the right-hand side bearing, Q. The axle precesses about a vertical axis at ๐œ”๐‘ = ๐œ” โ„ 10 in the clockwise direction when viewed from above. Let ๐‘…๐‘ƒ and ๐‘…๐‘„ (positive upwards) be the resultant reaction forces due to the mass and the gyroscopic effect, at bearings P and Q, respectively. Assuming ๐œ”2 ๐‘Ÿ = 300 m/s2 and ๐‘” = 10 m/s2, the ratio of the larger to the smaller bearing reaction force (considering appropriate signs) is ย ย ย ย ย 

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Ans: -3

Sol:

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