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Engineering and Tech / Engineering Mechanics: Dynamics 13 / Chapter 13 / Problem F13-3

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

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F13-3. A spring of stiffness * = 500N/m is mounted against

Chapter 13, Problem F13-3

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QUESTION:

F13-3. A spring of stiffness * = 500N/m is mounted against the 10-kg block. If the block is subjected to the force of F = 500 N, determine its velocity at s = 0.5 m. When .s' = 0, the block is at rest and the spring is uncompressed. The contact surface is smooth.

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QUESTION:

F13-3. A spring of stiffness * = 500N/m is mounted against the 10-kg block. If the block is subjected to the force of F = 500 N, determine its velocity at s = 0.5 m. When .s' = 0, the block is at rest and the spring is uncompressed. The contact surface is smooth.

ANSWER:

Problem f13-3

F13-3. A spring of stiffness k = 500N/m is mounted against the 10-kg block. If the block is subjected to the force of F = 500 N, determine its velocity at s = 0.5 m. When s = 0, the block is at rest and the spring is uncompressed. The contact surface is smooth.

Step by Step solution

Step 1 of 2

The stiffness constant of the spring is .

The mass of the block is .

The force applied to the block is .

The distance covered by the block is .

The work done by the force applied to the block is,

According to the given diagram, the horizontal distance covered by block is given as,

The potential energy of the block due to spring is,

The kinetic energy of the block due to velocity is,

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