College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 9, Problem 4PE
Use the second condition for equilibrium (net
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A uniform ladder of mass 20 kg and length 13 m is resting, with its base on rough horizontal ground at a distance of 5 m from a rough vertical wall. The upper end of the ladder rests against the wall. The ground and the wall have the same coefficient of friction with the ladder.
a. Show that if the ladder is stable, then the coefficient of friction satisfies the inequality
μ> 0.2 [Sufficient working must be shown if full marks are to be awarded here.]
b. If, in fact,
μ= 0.36
Determine the equivalent force-couple system at the center O for each of the three cases of forces (F = 370 N) being applied along the edges of a square plate of side d = 480 mm. The couple is positive if
counterclockwise, negative if clockwise.
y
F
y
y
F
d
- x
F
Answers:
(a)
R =
j) N, Mo =
N-m
(b)
R =
j) N, Mo =
N-m
(c)
R =
j ) N, Mo =
N-m
+
Problems 7.42 and 7.43
The driveway gate is hinged at its right end and can swing freely in the horizontal plane
The gate is pushed open by the force P that always acts perpendicular to the plane of the
gate at point A. which is a horizontal distance d from the gate hinge. The weight of the
gate is W = 215 lb, and its mass center is at G, which is a distance w/2 from each end
of the gate, where w = 16 ft. Assume that the gate is initially at rest, and model the gate
as a uniform thin bar as shown below the photo.
hinge line
/2
Problem 7.42i Given that a force of P
gate (i.e., d = w/2), determine the reactions at the hinge O after the force P has heen
continuously applied for 2 s.
20 lb is applied at the center of mass of the
Problem 7.43 Given that a
Chapter 9 Solutions
College Physics
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- A uniform rod AB of length 2R rests inside a hemispherical bowl of radius R as shown. Neglecting friction, determine the angle θ corresponding to equilibrium.arrow_forwardA uniform rod of mass M and length L and stands in equilibrium against wall and floor as shown in the figure. The friction coefficient between wall and rod is zero and rod and floor is u/2. Find the tangent of the maximum angle 0 so that the rod does not slip?arrow_forwardPlease asaparrow_forward
- Question 2. The uniform 20-kg ladder in Figure rests against the smooth wall at B, and the end A rests on the rough horizontal plane for which the coefficient of static friction is u, = 0.25. Determine the angle of inclination 0 of the ladder and the normal reaction at B if the ladder is on the verge of slipping !! 4 m Answer 2.arrow_forwardQuestion in pic.arrow_forwardA disk of mass m= 5kg and radius r= 0.5m rolls to the right under the influence of force P= 40N. What is the minimum static coefficient of friction for the disk not to slip? ω, α r P X Answer(s):arrow_forward
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