Explanation Given: The mass of the crate m is 20 kg . The coefficient of kinetic friction μ k is 0.3 . Angle θ is 30 ° . Initial velocity υ 0 is 0 . Initial distance s 0 is 0 Final distance s is 6 m . Time t is 3 s . Write the expression for final distance in y direction. s = s 0 + υ 0 t + 1 2 a t 2 (I). Here, Final distance is s , initial distance is s 0 , velocity is υ , initial velocity is υ 0 time is t and acceleration is a . Draw the free body diagram of the crate as shown in Figure (1). Refer Figure (1) write the formula to calculate horizontal force components: ∑ F x = m a x (II). Here, summation of total force acting on horizontal direction is ∑ F x , the mass of the object is m and acceleration is a . Refer Figure (1) and resolve the forces along x − axis . ∑ F x = T − m ( 9.81 m/s 2 ) sin 30 ° − μ k N (III). Refer Figure (1) and write the formula to calculate vertical force components: ∑ F y = m ( 0 ) = 0 Here, summation of total force acting on vertical direction is ∑ F y . Refer Figure (1) and resolve the forces along y − axis . ∑ F y = N − m ( 9.81 m/s 2 ) cos 30 ° (IV). Conclusion: Substitute 3s for t , 0 for υ 0 , 6 m for s and 0 for s 0 in Equation (I)

Engineering Mechanics: Statics & Dynamics (14th Edition)

14th Edition

ISBN: 9780133915426

Author: Russell C. Hibbeler

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 13.4, Problem 1FP

To determine

The tension developed in the cable.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.4, Problem 4PP

Chapter 13.4, Problem 2FP

Students have asked these similar questions

Find the equivalent mass of the rocker arm assembly with respect to the x coordinate. k₁ mi m2 k₁

2. Figure below shows a U-tube manometer open at both ends and containing a column of liquid mercury of length l and specific weight y. Considering a small displacement x of the manometer meniscus from its equilibrium position (or datum), determine the equivalent spring constant associated with the restoring force. Datum Area, A

1. The consequences of a head-on collision of two automobiles can be studied by considering the impact of the automobile on a barrier, as shown in figure below. Construct a mathematical model (i.e., draw the diagram) by considering the masses of the automobile body, engine, transmission, and suspension and the elasticity of the bumpers, radiator, sheet metal body, driveline, and engine mounts.

Chapter 13 Solutions

Engineering Mechanics: Statics & Dynamics (14th Edition)

Ch. 13.4 - The 10-kg block is subjected to the forces shown....Ch. 13.4 - The 10-kg block is subjected to the forces shown....Ch. 13.4 - Determine the initial acceleration of the 10-kg...Ch. 13.4 - Prob. 4PP Ch. 13.4 - Prob. 1FP Ch. 13.4 - If motor M exerts a force of F = (10t2 + 100) N on...Ch. 13.4 - A spring of stiffness k = 500 N/m is mounted...Ch. 13.4 - Prob. 5FP Ch. 13.4 - Block B rests upon a smooth surface. If the...Ch. 13.4 - The 6-lb particle is subjected to the action of...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The tension developed in the cable.

Solution Summary: The author explains how to determine the tension developed in the cable.

Videos

The tension developed in the cable.

Want to see the full answer?

Chapter 13 Solutions