PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 8, Problem 4RP
To determine
The minimum force that should be applied to the follower in order to hold the cam in the given position.
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Problem 2 (40 Points)
A particle of mass m is embedded at a distance a from the center of a massless circular disk of
radius r. The disk rolls without slipping down a plane inclined at an angle a with the horizontal.
A horizontal force of Ễ = −Fxî + Fyĵ resists motion of the disk down the plane by pushing on
the disk at the axle that runs through the center of the disk.
a) Find the kinetic energy T. (10 points)
b) Find the potential energy V. (10 points)
c) Write a position vector to the axle at the center of the wheel in terms of x and y. (10
points)
d) Using virtual work, find the applied force Q₁ that would go in Lagrange's Equations. DO
NOT WRITE OUT OR SOLVE LAGRANGES'S EQUATIONS. (10 points)
x
r
m
e
10
g
F
α
HINTS
1) Consider using the STATIONARY red xy frame a reference frame from which to draw
vectors
2) The red xy system DOES NOT move. It is stationary.
3) Consider that the disk rolls a distance of re down the ramp
Draw a counter balance circuit of a vertical cylinder.
using counter balance valve and external load.
Chapter 8 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 8 - F81. Determine the friction developed between the...Ch. 8 - F82. Determine the minimum force P to prevent the...Ch. 8 - Prob. 3FPCh. 8 - F84. If the coefficient of static friction at...Ch. 8 - F85. Determine the maximum force P that can be...Ch. 8 - F86. Determine the minimum coefficient of static...Ch. 8 - F87. Blocks A, B, and C have weights of 50 N, 25...Ch. 8 - F88. If the coefficient of static friction at all...Ch. 8 - Prob. 9FPCh. 8 - Determine the maximum force P the connection can...
Ch. 8 - The mine car and its contents have a total mass of...Ch. 8 - Prob. 4PCh. 8 - The automobile has a mass of 2 Mg and center of...Ch. 8 - The automobile has a mass of 2 Mg and canter of...Ch. 8 - Prob. 9PCh. 8 - Determine the angle at which the applied force P...Ch. 8 - Prob. 12PCh. 8 - The car has a mass of 1.6 Mg and center of mass at...Ch. 8 - The log has a coefficient of state friction of, s...Ch. 8 - The spool of wire having a weight of 300 Ib rests...Ch. 8 - The spool of wire having a weight of 300 Ib rests...Ch. 8 - Prob. 20PCh. 8 - The uniform thin pole has a weight of 30 Ib and a...Ch. 8 - The uniform pole has a weight of 30 Ib and a...Ch. 8 - The friction pawl is pinned at A and rests against...Ch. 8 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8 - Determine the smallest force P that must be...Ch. 8 - The man having a weight of 200 Ib pushes...Ch. 8 - The uniform hoop of weight W is subjected to the...Ch. 8 - Determine the maximum horizontal force P that can...Ch. 8 - Determine the minimum force P needed to push the...Ch. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Determine the smallest couple moment that can be...Ch. 8 - If P=250 N, determine the required minimum...Ch. 8 - Determine the minimum applied force P required to...Ch. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - Prob. 71PCh. 8 - Prob. 72PCh. 8 - Prob. 73PCh. 8 - Prob. 74PCh. 8 - Prob. 81PCh. 8 - Determine the horizontal force P that must be...Ch. 8 - A 180-lb farmer tries to restrain the cow from...Ch. 8 - The 100-lb boy at A is suspended from the cable...Ch. 8 - Prob. 87PCh. 8 - Determine the force P that must be applied to the...Ch. 8 - Prob. 93PCh. 8 - Prob. 98PCh. 8 - Prob. 99PCh. 8 - Blocks A and B have a mass of 7 kg and 10 kg,...Ch. 8 - The uniform bar AB is supported by a rope that...Ch. 8 - Prob. 102PCh. 8 - A 10-kg cylinder D, which is attached to a small...Ch. 8 - Prob. 106PCh. 8 - The collar bearing uniformly supports an axial...Ch. 8 - The collar bearing uniformly supports an axial...Ch. 8 - The floor-polishing machine rotates at a constant...Ch. 8 - Prob. 110PCh. 8 - Prob. 111PCh. 8 - Prob. 116PCh. 8 - The collar fits loosely around a fixed shaft that...Ch. 8 - Prob. 119PCh. 8 - Prob. 120PCh. 8 - Solve Prob. 8-120 if the force P is applied...Ch. 8 - Prob. 122PCh. 8 - Prob. 123PCh. 8 - Prob. 125PCh. 8 - The bell crank fits loosely into a 0.5-in-diameter...Ch. 8 - The bell crank fits loosely into a 0.5-in-diameter...Ch. 8 - Prob. 129PCh. 8 - R81. The uniform 20-lb ladder rests on the rough...Ch. 8 - R82. The uniform 60-kg crate C rests uniformly on...Ch. 8 - R83. A 35-kg disk rests on an inclined surface for...Ch. 8 - Prob. 4RPCh. 8 - Prob. 6RPCh. 8 - Prob. 7RPCh. 8 - The hand cart has wheels with a diameter of 80 mm....
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