Explanation Refer example 12.2. In the given example, ladder has uniform mass distribution. As a result, center of mass of ladder will be exactly at center of ladder. In this situation, it is given that center of mass is located at two-fifth of the length. The expression for components of net force will remain same in both conditions. The change in position of center of mass is reflected in the expression for gravitational torque. Write the equation for the gravitational torque of the system. τ g = − 2 5 L m g sin ( 90 ° − ϕ ) Here, τ g is the gravitational torque, L is the length of ladder, m is the mass of ladder and g is the gravitational acceleration. Write the expression for torque due to wall acting in opposite direction of τ g . τ w = L n 2 sin ϕ Here, τ w is the torque due to wall and n 2 is the normal reaction force at the meeting point of ladder and wall. Write the condition for net torque to be zero. τ g − τ w = 0 Rewrite the above equation by substituting the expressions for τ w and τ w

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Rotational Equilibrium And Rotational Dynamics

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Chapter 12, Problem 47P

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The equation for minimum value of ϕ which the ladder cannot slips in the exmple12.2.

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Chapter 12, Problem 46P

Chapter 12, Problem 48P

Chapter 12 Solutions

EBK ESSENTIAL UNIVERSITY PHYSICS, VOLUM

Ch. 12.1 - The figure shows three pairs of forces acting on...Ch. 12.2 - Prob. 12.2GI Ch. 12.3 - The figure shows a person in static equilibrium...Ch. 12.4 - Prob. 12.4GI Ch. 12 - Give an example of an object on which the net...Ch. 12 - Prob. 2FTD Ch. 12 - Pregnant women often assume a posture with their...Ch. 12 - When you carry a bucket of water with one hand,...Ch. 12 - Is a ladder more likely to slip when you stand...Ch. 12 - Does choosing a pivot point in an equilibrium...

Ch. 12 - If you take the pivot point at the application...Ch. 12 - A short dog and a tall person are standing on a...Ch. 12 - Prob. 9FTD Ch. 12 - A body is subject to three forces; F1=1i+2jN,...Ch. 12 - To demonstrate that the choice of pivot point...Ch. 12 - In Fig. 12.11 the forces shown all have the same...Ch. 12 - Figure 12.12a shows a thin, uniform square plate...Ch. 12 - Repeat the preceding problem for the equilateral...Ch. 12 - A 23-m-long log of irregular cross section lies...Ch. 12 - A 60-kg uniform board 2.4 m long is supported by a...Ch. 12 - Where should the child in Fig. 12.14 sit if the...Ch. 12 - A 4.2-m-long beam is supported by a cable at its...Ch. 12 - Figure 12.15 shows how a scale with a capacity of...Ch. 12 - A portion of a roller-coaster track is described...Ch. 12 - Prob. 21E Ch. 12 - Prob. 22E Ch. 12 - Prob. 23E Ch. 12 - Example 12.2: Climbers attempting to cross a...Ch. 12 - Example 12.4: Consider the potential-energy curve...Ch. 12 - Prob. 27E Ch. 12 - Prob. 28E Ch. 12 - Youre a highway safety engineer, and youre asked...Ch. 12 - Figure 12.17a shows an outstretched arm with mass...Ch. 12 - A uniform sphere of radius R is supported by a...Ch. 12 - You work for a garden equipment company, and youre...Ch. 12 - Figure 12.20 shows the fool and lower leg of a...Ch. 12 - A uniform 5.0-kg ladder is leaning against a...Ch. 12 - The boom in the crane of Fig. 12.21 is free to...Ch. 12 - A uniform board of length L and weight W is...Ch. 12 - Figure 12.23 shows a 1250-kg car that has slipped...Ch. 12 - You are headwaiter at a new restaurant, and your...Ch. 12 - You are headwaiter at a new restaurant, and your...Ch. 12 - Prob. 41P Ch. 12 - A crane in a marble quarry is mounted on the...Ch. 12 - A rectangular block measures w w L, where L is...Ch. 12 - The potential energy as a function of position for...Ch. 12 - A rectangular block of mass m measures w w L,...Ch. 12 - A 160-kg highway sign of uniform density is 2.3 m...Ch. 12 - Prob. 47P Ch. 12 - Prob. 48P Ch. 12 - A uniform, solid cube of mass m and side s is in...Ch. 12 - An isosceles triangular block of mass m and height...Ch. 12 - Youre investigating ladder safety for the Consumer...Ch. 12 - A 2.0-m-long rod has density in kilograms per...Ch. 12 - What horizontal force applied at its highest point...Ch. 12 - A rectangular block twice as high as it is wide is...Ch. 12 - What condition on the coefficient of friction in...Ch. 12 - A uniform solid cone of height h and base diameter...Ch. 12 - Prove the statement in Section 12.1 that the...Ch. 12 - Three identical books of length L are stacked over...Ch. 12 - A uniform pole of mass M is at rest on an incline...Ch. 12 - For what angle does the situation in Problem 53...Ch. 12 - Figure 12.31 shows a popular system for mounting...Ch. 12 - The nuchal ligament is a thick, cordlike structure...Ch. 12 - A 4.2-kg plant hangs from the bracket shown in...Ch. 12 - The wheel in Fig. 12.34 has mass M and is weighted...Ch. 12 - An interstellar spacecraft from an advanced...Ch. 12 - Prob. 66P Ch. 12 - Engineers designing a new semiconductor device...Ch. 12 - Youve been hired by your states environmental...Ch. 12 - Youve been hired by your states environmental...Ch. 12 - Youve been hired by your states environmental...Ch. 12 - Youve been hired by your states environmental...

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