Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 12, Problem 49P
What condition on the coefficient of friction in Problem 48 will cause the block to slide before it tips?
FIGURE 12.27 Problem 48,49 and 50
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A plank L m long is placed in a horizontal position with its ends resting on two inclined planes as shown. The angle of friction is pp. Determine how close the load P can be placed near B before slipping impends.
L
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40
30
20
Im
Answer in three (3) decimal places:
m
deg
deg
deg
01
B
A 100-N uniform ladder, 8.0 m long, rests against a smooth vertical wall. The coefficient of static friction between ladder and floor is 0.40. What minimum angle can the ladder make with the floor before it slips?
A 3.0-mm -long ladder, leans against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.50. What is the minimum angle the ladder can make with the floor without slipping?
Chapter 12 Solutions
Essential University Physics (3rd Edition)
Ch. 12.1 - The figure shows three pairs of forces acting on...Ch. 12.2 - Prob. 12.2GICh. 12.3 - The figure shows a person in static equilibrium...Ch. 12.4 - Prob. 12.4GICh. 12 - Give an example of an object on which the net...Ch. 12 - Give an example of an object on which the net...Ch. 12 - Prob. 3FTDCh. 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 - How does a heavy keel help keep a boat from...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. 11FTDCh. 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. 23ECh. 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 - Repeat Example 12.2, now assuming that the...Ch. 12 - You are headwaiter at a new restaurant, and your...Ch. 12 - Climbers attempting to cross a stream place a...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 - A 5.0-m-long ladder has mass 9.5 kg and is leaning...Ch. 12 - Prob. 42PCh. 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 - Youre called to testify in a product liability...Ch. 12 - Youre designing a vacation cabin at a ski resort....Ch. 12 - Prob. 62PCh. 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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- A stick which is 1.51 meters long is leaned against a wall at an angle. If the coefficient of static friction between the stick and the wall and floor is 0.395, determine the furthest distance from the wall that the bottom of the stick may be placed without slipping.arrow_forwardA 1-meter long, 20 kg uniform bar is attached to a wall by a hinge. It is held in a horizontal position by a rope that makes an angle of 50 degrees with the wall. What is the y-component of tension in the rope (FT)? Answer in Newtons.arrow_forwardOne end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle ? with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400. What is the maximum value thetheta can have if the stick is to remain in equilibrium?arrow_forward
- 1. One end of a uniform meterstick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle o with the stick. The coefficient of static friction between the end of the meter stick and the wall is = 0.400 Me a. what is the minimum value the off can have if the stick is to remain in equilibrium? Hint: ure tano = W-fr = Ms n Get 0.arrow_forwardA 3.0 m long ladder leans against a frictionless wall at an angle of 60°. What is the minimum value of the coefficient of static friction that prevents the ladder from slipping?arrow_forwardA 25-kg ladder, 4 m long, rests on a rough floor and against a vertical wall. The ladder makes an angle of 35° with the horizontal. It starts to slip when a man weighing 75 kg has dlimbed halfway up. f= 0.20 at the wall. Ladder Wall 350 10) What is the coefficient of friction at the floor in three decimal places?arrow_forward
- A ladder of length 12.0 m with a mass of 40.0 kg leans against a smooth wall. The ladder makes a 35.0o angle with the horizontal. Draw an adequate free body diagram of the ladder and determine the minimum coefficient of static friction between the ladder and the ground necessary to prevent the ladder from slipping.arrow_forwardA uniform ladder weighing 490 N rests against a frictioniess wall. The ladder has a length L = 14.0 m and makes a 59.0° angle with the horizontal ground. An 820 N firefighter has climbed d = 4.20 m along the ladder from the bottom. Find the coefficient of static friction Hs between the ladder and the ground. O 0.863 O 0.225 O 0.119 O 0.332 O 0.567arrow_forwardSuppose a 905-kg car is on the bridge in the figure with its center of mass halfway between the hinges and the cable attachment. (The bridge is supported by the cable and hinges only.) The mass of the bridge is 2500 kg. Find the tension, in newtons, in the cable.arrow_forward
- A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction = 0.295 and the coefficient of friction between the ladder and the wall is between the ladder and the horizontal surface is M = 0.103, L Determine the maximum angle a with the vertical that the ladder can make without falling on the ground. a= 87.0arrow_forwardIf the cables, as shown in the figure below, are holding the cylinder container, find its maximum weight in order that all cables will make it in equilibrium, and the tension in each cable should not exceed 114 kiloNewton.arrow_forwardA cubical box is filled with sand and weighs 890 N. We wish to “roll" the box by pushing horizontally on one of the upper edges. What minimum coefficient of static friction between box and floor is required?arrow_forward
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