Explanation Given: The radius r is 100 m . The constant speed υ is 80 km/h . Write the expression for velocity υ . υ = ( 80 km h ) ( 1000 m 1km ) ( 1 h 3600 s ) = 22.22 m/s Write the equation of acceleration a x = υ 2 r (I). Here, acceleration is a , the velocity is υ , and the radius is r . Draw the free body diagram as shown in Figure (1). Write the formula for equation of motion for spool in the vertical direction. ∑ F y = m a = m ( 0 ) = 0 Here, summation of total force acting on vertical direction is ∑ F y mass is m and acceleration in the vertical direction is a y . Refer Figure (2) calculate the normal force on the spool in the vertical direction. ∑ F y = N cos θ − m ( 9.81 m s 2 ) (II). Write the formula for equation of motion in the horizontal direction. ∑ F x = m a x (III). Here, summation of total force acting on horizontal direction is ∑ F x mass is m and acceleration in the horizontal direction is a x . Refer Figure (2) resolve the forces in the horizontal direction. ∑ F x = N sin θ (IV). Conclusion: Substitute 100 m for r and 22

Engineering Mechanics: Statics & Dynamics (14th Edition)

14th Edition

ISBN: 9780133915426

Author: Russell C. Hibbeler

Publisher: PEARSON

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Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its enviro…

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Chapter 13.5, Problem 67P

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The tilt angle θ of the vehicle.

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Chapter 13.5, Problem 66P

Chapter 13.5, Problem 68P

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The tilt angle θ of the vehicle.

Solution Summary: The author explains the tilt angle of the vehicle, the constant speed, and the equation of acceleration for the spool.

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The tilt angle θ of the vehicle.

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