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Engineering and Tech / Vector Mechanics for Engineers: Dynamics 10 / Chapter 13 / Problem 13.196

Vector Mechanics for Engineers: Dynamics | 10th Edition | ISBN: 9780073398136 | Authors: Ferdinand P. Beer

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A small sphere B of mass m is attached to an inextensible

Chapter 13, Problem 13.196

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QUESTION:

A small sphere B of mass m is attached to an inextensible cord of length 2a, which passes around the fixed peg A and is attached to a fixed support at O. The sphere is held close to the support at O and released with no initial velocity. It drops freely to point C, where the cord becomes taut, and swings in a vertical plane, first about A and then about O. Determine the vertical distance from line OD to the highest point \(C^{\prime \prime}\) that the sphere will reach.

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QUESTION:

A small sphere B of mass m is attached to an inextensible cord of length 2a, which passes around the fixed peg A and is attached to a fixed support at O. The sphere is held close to the support at O and released with no initial velocity. It drops freely to point C, where the cord becomes taut, and swings in a vertical plane, first about A and then about O. Determine the vertical distance from line OD to the highest point \(C^{\prime \prime}\) that the sphere will reach.

ANSWER:

Step by step solution Step 1 of 5Velocity at point C (before the cord is taut).

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