Explanation Given data: Coefficient of static friction between the ground and the lower end of the board is 0.65. Formula used: Force due to static friction is given by, f s = μ s F N (1) Here, f s is the static friction force, μ s is the coefficient of static friction, and F N is the normal force applied to the ladder by the ground. The expression of torque is given as, τ = F l (2) Here, F is the force and l is the lever arm. The net torque is given by, τ = τ 1 + τ 2 (3) Here, τ 1 is the torque acting due to weight and τ 2 is the torque acting due to force of the vertical component of hinge. Calculation: Draw the diagram as shown in the Figure 1. Here, P is the force applied at the upper end of the board by the vertical wall, W is the weight of the board, and V is the vertical normal force exerted by the ground. Consider the length of the board be L . Substitute P for f s and V for F N , P = μ s V (4) The net force acting vertically is zero as shown in the Figure 1 V − W = 0 V = W (5) The direction of force is given according to the axis. Solving equation (2) and equation (3), τ = P l c − W l w (6) Here, l c is the lever arm length form the axis to the force applied at the upper end of the board by the vertical wall and l w is the lever arm length form the axis to the weight of the board. As there is no motion of the board so, the net torque is zero. Substitute 0 for τ in equation (4), 0 = P l c − W l w (7) Using right angle triangle rule, sin θ = l c L l c = L sin θ And, As the weight is acting on the center of the board therefore its length from the ground is L 2

11th Edition

ISBN: 9781119326342

Author: CUTNELL

Publisher: WILEY

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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

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Chapter 9, Problem 23P

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The value of θ .

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Ch. 9.1 - 1. The drawing shows an overhead view of a...Ch. 9.1 - Prob. 2CYU Ch. 9.1 - 3. Is it possible (a) for a large force to produce...Ch. 9.1 - Prob. 4CYU Ch. 9.2 - Prob. 5CYU Ch. 9.2 - Prob. 6CYU Ch. 9.3 - 7. Starting in the spring, fruit begins to grow on...Ch. 9.3 - Prob. 8CYU Ch. 9.4 - 10. Three massless rods (A, B. and C) are free to...Ch. 9 - Prob. 1FC

Ch. 9 - Prob. 3FC Ch. 9 - Prob. 6FC Ch. 9 - Prob. 8FC Ch. 9 - Prob. 10FC Ch. 9 - Prob. 12FC Ch. 9 - Prob. 13FC Ch. 9 - Prob. 16FC Ch. 9 - Prob. 17FC Ch. 9 - Prob. 18FC Ch. 9 - Prob. 1P Ch. 9 - Prob. 2P Ch. 9 - Prob. 3P Ch. 9 - Prob. 4P Ch. 9 - Prob. 5P Ch. 9 - Prob. 6P Ch. 9 - Prob. 7P Ch. 9 - Prob. 8P Ch. 9 - Prob. 9P Ch. 9 - **10. A rotational axis is directed perpendicular...Ch. 9 - Prob. 11P Ch. 9 - 12. The drawing shows a person (weight, W = 584 N)...Ch. 9 - Prob. 13P Ch. 9 - Prob. 14P Ch. 9 - Prob. 15P Ch. 9 - Prob. 16P Ch. 9 - 17. Review Multiple-Concept Example 8 before...Ch. 9 - 19. Review Conceptual Example 7 as background...Ch. 9 - Prob. 21P Ch. 9 - 22. A man holds a 178-N ball in his hand, with the...Ch. 9 - Prob. 23P Ch. 9 - Prob. 24P Ch. 9 - *25. A 1220-N uniform beam is attached to a...Ch. 9 - *26. A person is sitting with one leg outstretched...Ch. 9 - Prob. 27P Ch. 9 - **28. A man drags a 72-kg crate across the floor...Ch. 9 - Prob. 30P Ch. 9 - Prob. 31P Ch. 9 - 32. A clay vase on a potter’s wheel experiences an...Ch. 9 - Prob. 33P Ch. 9 - Prob. 34P Ch. 9 - Prob. 35P Ch. 9 - Prob. 36P Ch. 9 - Prob. 37P Ch. 9 - Prob. 40P Ch. 9 - *42. A 15.0-m length of hose is wound around a...Ch. 9 - Prob. 43P Ch. 9 - Prob. 44P Ch. 9 - *45. A stationary bicycle is raised off the...Ch. 9 - Prob. 46P Ch. 9 - Prob. 47P Ch. 9 - Prob. 48P Ch. 9 - Prob. 49P Ch. 9 - Prob. 50P Ch. 9 - Prob. 51P Ch. 9 - Prob. 52P Ch. 9 - Prob. 53P Ch. 9 - Prob. 54P Ch. 9 - Prob. 55P Ch. 9 - Prob. 57P Ch. 9 - Prob. 58P Ch. 9 - Prob. 59P Ch. 9 - Prob. 60P Ch. 9 - Prob. 61P Ch. 9 - Prob. 63P Ch. 9 - Prob. 64P Ch. 9 - Prob. 66P Ch. 9 - Prob. 67P Ch. 9 - Prob. 69AP Ch. 9 - Prob. 70AP Ch. 9 - Prob. 71AP Ch. 9 - Prob. 72AP Ch. 9 - 73. A rotating door is made from four rectangular...Ch. 9 - Prob. 74AP Ch. 9 - Prob. 75AP Ch. 9 - Prob. 76AP Ch. 9 - Prob. 84TP Ch. 9 - Prob. 85TP

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