Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 8.2, Problem 52P
To determine
The two coefficients of static friction at
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The beam AB has a negligible mass and thickness and is subjected to a
triangular distributed loading. It is supported at one end by a pin and at the
other end by a post having a mass of 50 kg and negligible thickness.
Determine the two coefficients of static friction at B and at C so that when
the magnitude of the applied force is increased to P = 150 N, the post slips
at both B and C simultaneously. Take F = 940 N/m.
(Figure 1)
Figure
-2 m
400 mm
300 mm
Part A
Determine the coefficient of static friction at B
Express your answer using three significant figures.
HB =
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Part B
HC =
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Determine the coefficient of static friction at C.
Express your answer using three significant figures.
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The man is trying to push the homogeneous 20-kg ladder AB up a wall by
applying the horizontal force P. Determine the smallest value of Pthat would move
the ladder. The coefficient of static friction between the ladder and both contact
surfaces is 0.3.
1.5 m
2 m
Note that h = 5 m
4. The mine car and its
contents have a total mass of
6000 kg and a centre of
gravity at G. If the coefficient
of static friction
10 kN
between the wheels and the
0.9 m
•G
tracks is u = 0.4 when the
wheels are locked, find the
normal force acting on the
front wheels at B and the rear
0.15 m
0.6 m -
1.5 m
wheels at A when the brakes
at both A and B are locked.
Does the car move?
[Ans. NA = 16.5 kN, Ng =42.3
kN, the car does not move]
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Chapter 8 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 8.2 - P81. Determine the friction force at the surface...Ch. 8.2 - P82. Determine M to cause impending motion of the...Ch. 8.2 - P83. Determine the force P to move block B.Ch. 8.2 - P84. Determine the force P needed to cause...Ch. 8.2 - F81. Determine the friction developed between the...Ch. 8.2 - F82. Determine the minimum force P to prevent the...Ch. 8.2 - Prob. 3FPCh. 8.2 - F84. If the coefficient of static friction at...Ch. 8.2 - F85. Determine the maximum force P that can be...Ch. 8.2 - F86. Determine the minimum coefficient of static...
Ch. 8.2 - F87. Blocks A, B, and C have weights of 50 N, 25...Ch. 8.2 - F88. If the coefficient of static friction at all...Ch. 8.2 - Prob. 9FPCh. 8.2 - Determine the maximum force P the connection can...Ch. 8.2 - The tractor exerts a towing force T=400 lb....Ch. 8.2 - The mine car and its contents have a total mass of...Ch. 8.2 - Prob. 4PCh. 8.2 - The automobile has a mass of 2 Mg and center of...Ch. 8.2 - The automobile has a mass of 2 Mg and canter of...Ch. 8.2 - The block brake consists of a pin-connected lever...Ch. 8.2 - The block brake consists of a pin-connected lever...Ch. 8.2 - Prob. 9PCh. 8.2 - Determine the angle at which the applied force P...Ch. 8.2 - Determine the maximum weight W the man can lift...Ch. 8.2 - Prob. 12PCh. 8.2 - Prob. 13PCh. 8.2 - The car has a mass of 1.6 Mg and center of mass at...Ch. 8.2 - The log has a coefficient of state friction of, s...Ch. 8.2 - Prob. 16PCh. 8.2 - The 180-Ib man climbs up the ladder and stops at...Ch. 8.2 - The spool of wire having a weight of 300 Ib rests...Ch. 8.2 - The spool of wire having a weight of 300 Ib rests...Ch. 8.2 - Prob. 20PCh. 8.2 - A man attempts to support a stack of books...Ch. 8.2 - The tongs are used to lift the 150-kg crate, whose...Ch. 8.2 - The beam is supported by a pin at A and a roller...Ch. 8.2 - The uniform thin pole has a weight of 30 Ib and a...Ch. 8.2 - The uniform pole has a weight of 30 Ib and a...Ch. 8.2 - The block brake is used to stop the wheel from...Ch. 8.2 - Solve Prob. 8-26 if the couple moment M0 is...Ch. 8.2 - A worker walks up the sloped roof that is defined...Ch. 8.2 - The friction pawl is pinned at A and rests against...Ch. 8.2 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8.2 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8.2 - Determine the smallest force P that must be...Ch. 8.2 - The man having a weight of 200 Ib pushes...Ch. 8.2 - The uniform hoop of weight W is subjected to the...Ch. 8.2 - Determine the maximum horizontal force P that can...Ch. 8.2 - Determine the minimum force P needed to push the...Ch. 8.2 - The coefficients of static and kinetic friction...Ch. 8.2 - The coefficient of static friction between the...Ch. 8.2 - Determine the smallest coefficient of static...Ch. 8.2 - If =30, determine the minimum coefficient of...Ch. 8.2 - Prob. 41PCh. 8.2 - Prob. 42PCh. 8.2 - Investigate whether the equilibrium can be...Ch. 8.2 - Prob. 44PCh. 8.2 - The beam AB has a negligible mass and thickness...Ch. 8.2 - Prob. 46PCh. 8.2 - Crates A and B weigh 200 Ib and 150 Ib,...Ch. 8.2 - Prob. 48PCh. 8.2 - The uniform crate has a mass of 150 kg. If the...Ch. 8.2 - Prob. 50PCh. 8.2 - Prob. 51PCh. 8.2 - Prob. 52PCh. 8.2 - Determine the smallest couple moment that can be...Ch. 8.2 - Prob. 54PCh. 8.2 - Prob. 55PCh. 8.2 - The disk has a weight W and lies on a plane that...Ch. 8.2 - The man has a weight of 200 lb, and the...Ch. 8.2 - Prob. 1CPCh. 8.2 - Prob. 4CPCh. 8.2 - Prob. 5CPCh. 8.4 - Determine the largest angle that will cause the...Ch. 8.4 - Prob. 59PCh. 8.4 - The wedge is used to level the member. Determine...Ch. 8.4 - The two blocks used in a measuring device have...Ch. 8.4 - If P=250 N, determine the required minimum...Ch. 8.4 - Determine the minimum applied force P required to...Ch. 8.4 - Prob. 64PCh. 8.4 - Prob. 65PCh. 8.4 - Prob. 66PCh. 8.4 - Prob. 67PCh. 8.4 - Prob. 68PCh. 8.4 - Prob. 69PCh. 8.4 - Prob. 70PCh. 8.4 - Prob. 71PCh. 8.4 - Prob. 72PCh. 8.4 - Prob. 73PCh. 8.4 - Prob. 74PCh. 8.4 - The shaft has a square-threaded screw with a lead...Ch. 8.4 - Prob. 76PCh. 8.4 - Prob. 77PCh. 8.4 - Prob. 78PCh. 8.4 - Prob. 79PCh. 8.4 - Prob. 80PCh. 8.4 - Prob. 81PCh. 8.4 - Determine the horizontal force P that must be...Ch. 8.5 - A cylinder having a mass of 250 kg is to be...Ch. 8.5 - Prob. 84PCh. 8.5 - A 180-lb farmer tries to restrain the cow from...Ch. 8.5 - The 100-lb boy at A is suspended from the cable...Ch. 8.5 - Prob. 87PCh. 8.5 - Prob. 88PCh. 8.5 - A cable is attached to the 20-kg plate B, passes...Ch. 8.5 - Prob. 90PCh. 8.5 - Prob. 91PCh. 8.5 - Determine the force P that must be applied to the...Ch. 8.5 - Prob. 93PCh. 8.5 - Prob. 94PCh. 8.5 - Prob. 95PCh. 8.5 - Determine the maximum and the minimum values of...Ch. 8.5 - Prob. 97PCh. 8.5 - Prob. 98PCh. 8.5 - Prob. 99PCh. 8.5 - Blocks A and B have a mass of 7 kg and 10 kg,...Ch. 8.5 - The uniform bar AB is supported by a rope that...Ch. 8.5 - Prob. 102PCh. 8.5 - Prob. 103PCh. 8.5 - Prob. 104PCh. 8.5 - A 10-kg cylinder D, which is attached to a small...Ch. 8.5 - Prob. 106PCh. 8.8 - The collar bearing uniformly supports an axial...Ch. 8.8 - The collar bearing uniformly supports an axial...Ch. 8.8 - The floor-polishing machine rotates at a constant...Ch. 8.8 - Prob. 110PCh. 8.8 - Prob. 111PCh. 8.8 - Prob. 113PCh. 8.8 - Prob. 114PCh. 8.8 - Prob. 115PCh. 8.8 - Prob. 116PCh. 8.8 - The collar fits loosely around a fixed shaft that...Ch. 8.8 - Prob. 118PCh. 8.8 - Prob. 119PCh. 8.8 - Prob. 120PCh. 8.8 - Solve Prob. 8-120 if the force P is applied...Ch. 8.8 - Prob. 122PCh. 8.8 - Prob. 123PCh. 8.8 - The uniform disk fits loosely over a fixed shaft...Ch. 8.8 - Prob. 125PCh. 8.8 - The bell crank fits loosely into a 0.5-in-diameter...Ch. 8.8 - The bell crank fits loosely into a 0.5-in-diameter...Ch. 8.8 - The vehicle has a weight of 2600 lb and center of...Ch. 8.8 - Prob. 129PCh. 8.8 - The handcart has wheels with a diameter of 6 in....Ch. 8.8 - Prob. 131PCh. 8.8 - Prob. 132PCh. 8.8 - R81. The uniform 20-lb ladder rests on the rough...Ch. 8.8 - R82. The uniform 60-kg crate C rests uniformly on...Ch. 8.8 - R83. A 35-kg disk rests on an inclined surface for...Ch. 8.8 - Prob. 4RPCh. 8.8 - Prob. 5RPCh. 8.8 - Prob. 6RPCh. 8.8 - Prob. 7RPCh. 8.8 - The hand cart has wheels with a diameter of 80 mm....
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