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Engineering and Tech / Engineering Mechanics: Dynamics 13 / Chapter 13 / Problem F13-14

Engineering Mechanics: Dynamics | 13th Edition | ISBN: 9780132911276 | Authors: Russell C. Hibbele

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F13-14. The 0.2-kg ball is blown through the smooth

Chapter 13, Problem F13-14

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QUESTION:

F13-14. The 0.2-kg ball is blown through the smooth vertical circular tube whose shape is defined by r = (O.6sin0)m, where 0 is in radians. If 0 = (tt t2) rad, where / is in seconds, determine the magnitude of force F exerted by the blower on the ball when t = 0.5 s.

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QUESTION:

F13-14. The 0.2-kg ball is blown through the smooth vertical circular tube whose shape is defined by r = (O.6sin0)m, where 0 is in radians. If 0 = (tt t2) rad, where / is in seconds, determine the magnitude of force F exerted by the blower on the ball when t = 0.5 s.

ANSWER:

Problem F13-14

The 0.2-kg ball is blown through the smooth vertical circular tube whose shape is defined by r = (O.6sin0)m, where 0 is in radians. If 0 = (tt t2) rad, where / is in seconds, determine the magnitude of force F exerted by the blower on the ball when t = 0.5 s.

Step by Step Solution

Step 1 of 3

The mass of ball is .

The radial displacement of the ball is .

The angular displacement of the ball is .

The time taken by force to exert on ball is .

The free body diagram of the system is shown as,

The angular velocity of the ball is given as,

For ,

For ,

The angular acceleration of the ball is given as,

For ,

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