Engineering Mechanics: Statics and Study Pack (13th Edition)
13th Edition
ISBN: 9780133027990
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Question
Chapter 8.2, Problem 43P
To determine
The coefficient of static friction
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Problem 1 (30 Points)
Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In
scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no
friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in
both scenarios, there is one generalized coordinate, .
R
Scenario 1
R
m
R
g
Scenario 2
m
HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the
bowl (scenario 1), or the pivot point of the pendulum (scenario 2).
Part I
a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points)
b) What can you say about the systems based on the Lagrangian? (2 points)
c) Solve for the equations of motion for both systems. (8 points)
Part II
Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to
determine the normal force acting on the mass.
a)…
Consider 0.65 kg of N2 at 300 K, 1 bar contained in a rigid tank connected by a valve to another rigid tank holding 0.3 kg of CO2 at 300 K, 1 bar. The valve is opened and gases are allowed to mix, achieving an equilibrium state at 290 K. Determine: (a) the volume of each tank, in m³. (b) the final pressure, in bar. (c) the magnitude of the heat transfer to or from the gases during the process, in kJ. (d) the entropy change of each gas and of the overall system, in kJ/K.
(Read Image) (Answer: ω = 1.10 rad/sec CW)
Chapter 8 Solutions
Engineering Mechanics: Statics and Study Pack (13th Edition)
Ch. 8.2 - Determine the friction developed between the 50-kg...Ch. 8.2 - Determine the minimum force P to prevent the 30-kg...Ch. 8.2 - Determine the maximum force P that can be applied...Ch. 8.2 - If the coefficient of static friction at contact...Ch. 8.2 - Determine the maximum force P that can be applied...Ch. 8.2 - Prob. 6FPCh. 8.2 - Blocks A, B, and C have weights of 50 N, 25 N, and...Ch. 8.2 - If the coefficient of static friction at all...Ch. 8.2 - Using the coefficients of static friction...Ch. 8.2 - Prob. 1P
Ch. 8.2 - The tractor exerts a towing force T=400 lb....Ch. 8.2 - The winch on the truck is used to hoist the...Ch. 8.2 - Prob. 4PCh. 8.2 - Prob. 5PCh. 8.2 - Prob. 6PCh. 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 - Prob. 10PCh. 8.2 - The block brake is used to stop the wheel from...Ch. 8.2 - If a torque of M=300 Nm is applied to the...Ch. 8.2 - The cam is subjected to a couple moment of 5N m....Ch. 8.2 - Determine the maximum weight W the man can lift...Ch. 8.2 - The car has a mass of 1.6 Mg and center of mass at...Ch. 8.2 - Prob. 16PCh. 8.2 - Prob. 17PCh. 8.2 - Prob. 18PCh. 8.2 - Prob. 19PCh. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - A 35-kg disk rests on an inclined surface for...Ch. 8.2 - The man has a weight of 200 lb, and the...Ch. 8.2 - Prob. 25PCh. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - Prob. 29PCh. 8.2 - Prob. 30PCh. 8.2 - If the coefficient of static friction at A and B...Ch. 8.2 - Prob. 32PCh. 8.2 - Prob. 33PCh. 8.2 - Prob. 34PCh. 8.2 - Prob. 35PCh. 8.2 - Prob. 36PCh. 8.2 - Prob. 37PCh. 8.2 - Prob. 38PCh. 8.2 - Prob. 39PCh. 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 - Prob. 42PCh. 8.2 - Prob. 43PCh. 8.2 - Prob. 44PCh. 8.2 - Prob. 45PCh. 8.2 - The beam AB has a negligible mass and thickness...Ch. 8.2 - It is supported at one end by a pin and at the...Ch. 8.2 - Prob. 48PCh. 8.2 - Prob. 49PCh. 8.2 - Prob. 50PCh. 8.2 - Prob. 51PCh. 8.2 - Prob. 52PCh. 8.2 - The wheel weights 20 lb and rests on a surface for...Ch. 8.2 - Prob. 54PCh. 8.2 - Determine the greatest angle so that the ladder...Ch. 8.2 - Prob. 56PCh. 8.2 - Prob. 57PCh. 8.2 - Prob. 4CPCh. 8.4 - Determine the largest angle that will cause the...Ch. 8.4 - If the beam AD is loaded as shown, determine the...Ch. 8.4 - Prob. 60PCh. 8.4 - Prob. 61PCh. 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 - If the clamping force on the boards is 600 lb,...Ch. 8.4 - Prob. 69PCh. 8.4 - If the force F is removed from the handle of the...Ch. 8.4 - If the clamping force at G is 900 N, determine the...Ch. 8.4 - If a horizontal force of F = 50 N is applied...Ch. 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 - If a horizontal force of P = 100 N is applied...Ch. 8.4 - Determine the horizontal force P that must be...Ch. 8.4 - Prob. 81PCh. 8.4 - Prob. 82PCh. 8.5 - A cylinder having a mass of 250 kg is to be...Ch. 8.5 - A cylinder having a mass of 250 kg is to be...Ch. 8.5 - Prob. 85PCh. 8.5 - Prob. 86PCh. 8.5 - Prob. 87PCh. 8.5 - The coefficient of static friction between the...Ch. 8.5 - Prob. 89PCh. 8.5 - Prob. 90PCh. 8.5 - Prob. 91PCh. 8.5 - Prob. 92PCh. 8.5 - Prob. 93PCh. 8.5 - Determine the weight of the cylinder if the...Ch. 8.5 - If slipping does not occur at the wall, determine...Ch. 8.5 - Prob. 96PCh. 8.5 - Prob. 97PCh. 8.5 - Show that the frictional relationship between the...Ch. 8.5 - Prob. 99PCh. 8.5 - Determine the largest angles so that the cord...Ch. 8.5 - Prob. 101PCh. 8.5 - Determine the smallest counterclockwise twist or...Ch. 8.5 - Prob. 103PCh. 8.5 - Prob. 104PCh. 8.5 - Determine the smallest stretch of the spring...Ch. 8.5 - Idler pulley A, and motor pulley B. If the motor...Ch. 8.8 - Prob. 107PCh. 8.8 - Prob. 108PCh. 8.8 - Prob. 109PCh. 8.8 - Prob. 110PCh. 8.8 - Prob. 111PCh. 8.8 - Prob. 112PCh. 8.8 - Prob. 113PCh. 8.8 - Prob. 114PCh. 8.8 - Prob. 116PCh. 8.8 - Prob. 117PCh. 8.8 - Prob. 118PCh. 8.8 - Prob. 119PCh. 8.8 - Prob. 120PCh. 8.8 - Prob. 121PCh. 8.8 - Prob. 122PCh. 8.8 - Prob. 123PCh. 8.8 - Prob. 124PCh. 8.8 - Prob. 125PCh. 8.8 - Prob. 126PCh. 8.8 - Prob. 127PCh. 8.8 - The vehicle has a weight of 2600 lb and center of...Ch. 8.8 - The tractor has a weight of 16 000 lb and the...Ch. 8.8 - Prob. 130PCh. 8.8 - Prob. 131PCh. 8.8 - Prob. 132PCh. 8.8 - Prob. 133RPCh. 8.8 - Prob. 134RPCh. 8.8 - Prob. 135RPCh. 8.8 - Prob. 136RPCh. 8.8 - The three stone blocks have weights of, WA =...Ch. 8.8 - The uniform 60-kg crate C rests uniformly on a...Ch. 8.8 - Prob. 139RPCh. 8.8 - Prob. 140RPCh. 8.8 - Prob. 141RPCh. 8.8 - Prob. 142RPCh. 8.8 - Prob. 143RPCh. 8.8 - Prob. 144RP
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