Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 8.2, Problem 1PP
P8–1. Determine the friction force at the surface of contact.
Prob. P8–1
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A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
=
mgr
horizontal plane.
is applied to the rod. Assume that the bowl is fixed and its rim is in the
HINT: It will help you to find the length l of that portion of the rod that remains outside the
bowl.
M
2r
Ꮎ
a) How many degrees of freedom does this system have?
b) Write an equation for the virtual work in terms of the angle 0 and the motion of the
center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M = 0), derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation
e) In the case of an applied moment (i.e., M:
=
mgr
4
-) derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can the angle 0 and…
Solve this problem and show all of the work
Solve this problem and show all of the work
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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