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Engineering and Tech / Engineering Mechanics Dynamics (1) 1 14 / Chapter 14 / Problem F14-5

Engineering Mechanics Dynamics (1) 1 | 14th Edition | ISBN: 9780133915389 | Authors: Russell C. Hibbeler

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When s = 0.6 m, the spring is unstretched and the 10-kg

Chapter 14, Problem F14-5

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QUESTION:

When s = 0.6 m, the spring is unstretched and the 10-kg block has a speed of 5 m/s down the smooth plane. Determine the distance s when the block stops.

Questions & Answers

QUESTION:

When s = 0.6 m, the spring is unstretched and the 10-kg block has a speed of 5 m/s down the smooth plane. Determine the distance s when the block stops.

ANSWER:

Problem F14-5

When s = 0.6 m, the spring is unstretched and the 10-kg block has a speed of 5 m/s down the smooth plane. Determine the distance s when the block stops. Express your answer to three significant figures and include the appropriate units.

Step by Step Solution

Step 1 of 2

The mass of the block is

The length of the spring is

The speed of the block is

The spring constant is

The force applied to the block is

The angle of the inclination is

Let the block stops at distance from the initial position.

The expression for the distance using the principal of work and energy is given by:

Substitute the given values into the above equation:

On solving the quadratic equation, we have

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