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Engineering and Tech / Engineering Mechanics: Dynamics 8 / Chapter 6 / Problem 6/130

Engineering Mechanics: Dynamics | 8th Edition | ISBN: 9781118885840 | Authors: James L. Meriam, L. G. Kraige, J. N. Bolton

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The wheel consists of a 4-kg rim of 250-mm radiuswith hub and spokes of negligible mass

Chapter 6, Problem 6/130

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QUESTION:

The wheel consists of a 4-kg rim of 250-mm radius with hub and spokes of negligible mass. The wheel is mounted on the 3-kg yoke OA with mass center at G and with a radius of gyration about O of 350 mm. If the assembly is released from rest in the horizontal position shown and if the wheel rolls on the circular surface without slipping, compute the velocity of point A when it reaches \(A^{\prime}\).

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QUESTION:

The wheel consists of a 4-kg rim of 250-mm radius with hub and spokes of negligible mass. The wheel is mounted on the 3-kg yoke OA with mass center at G and with a radius of gyration about O of 350 mm. If the assembly is released from rest in the horizontal position shown and if the wheel rolls on the circular surface without slipping, compute the velocity of point A when it reaches \(A^{\prime}\).

ANSWER:

Step 1 of 5

Given data:

The mass of rim is

The radius of the wheel is,

The distance of center of gravity from the point O is,

The radius of the curve is,

The radius of gyration is,

The mass of yoke is

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