College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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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
Ch. 9 - What can you say about the velocity of a moving...Ch. 9 - Under what conditions can a rotating body be in...Ch. 9 - What three factors affect the torque created by a...Ch. 9 - A wrecking ball is being used to knock down a...Ch. 9 - Mechanics put a length of Pipe over the handle of...Ch. 9 - A round pencil lying on its side as in Figure 9.13...Ch. 9 - Explain the need for tall towers on a suspension...Ch. 9 - When visiting some countries, you may see a person...Ch. 9 - Scissors are like a double-lever "Stem, Which of...Ch. 9 - Suppose you pull a nail at a constant rate using a...
Ch. 9 - Why are the forces exerted on the outside world by...Ch. 9 - Explain why the forces in our joints are several...Ch. 9 - Why are the forces exerted on the outside world by...Ch. 9 - Explain why the forces in our joints are several...Ch. 9 - Certain of dinosaurs were bipedal (walked on two...Ch. 9 - Swimmers and athletes during competition need to...Ch. 9 - If the maximum force the biceps muscle can exert...Ch. 9 - Suppose the biceps muscle was attached through...Ch. 9 - Explain one of the reasons why pregnant women...Ch. 9 - (a) When opening a door, you push on it...Ch. 9 - When tightening a bolt, you push perpendicularly...Ch. 9 - Two children push on opposite sides of a door...Ch. 9 - Use the second condition for equilibrium (net =0 )...Ch. 9 - Repeat the seesaw problem in Example 9.1 with the...Ch. 9 - Suppose a horse leans against a wall as in Figure...Ch. 9 - Two children of mass 20.0 kg and 30.0 kg sit...Ch. 9 - (a) Calculate the magnitude and direction of the...Ch. 9 - A person carries a plank of wood 2.00 m long with...Ch. 9 - A 17.0-m-high and 11.0-m-long wall under...Ch. 9 - (a) What force must be exerted by the wind to...Ch. 9 - Suppose the weight of the drawbridge in Figure...Ch. 9 - Suppose a 900-kg car is on the bridge in Figure...Ch. 9 - A sandwich board advertising sign is constructed...Ch. 9 - (a) What minimum coefficient of friction is needed...Ch. 9 - A gymnast is attempting to perform splits. From...Ch. 9 - To get up on the roof, a person (mass 70.0 kg)...Ch. 9 - In Figure 9.21, the cg of the pole held by the...Ch. 9 - What is the mechanical advantage of a nail puller...Ch. 9 - Suppose you needed to raise a 250-kg mower a...Ch. 9 - a) What is the mechanical advantage of a...Ch. 9 - A typical car has an axle with 1.10 cm radius...Ch. 9 - What force does the nail puller in Exercise 9.19...Ch. 9 - If you used an ideal pulley of the type shown in...Ch. 9 - Repeat Exercise 9.24 for the pulley shown in...Ch. 9 - Verity that the force in the elbow joint in...Ch. 9 - Two muscles in the back of the leg pull on the...Ch. 9 - The upper leg muscle (quadriceps) exerts a force...Ch. 9 - A device for exercising the upper leg muscle is...Ch. 9 - A person working at a drafting board may hold her...Ch. 9 - We analyzed the biceps muscle example with the...Ch. 9 - Even when the head is held erect, as in Figure...Ch. 9 - A 75-kg man stands on his toes by exerting an...Ch. 9 - A father lifts his child as shown in Figure 9.43....Ch. 9 - Unlike most of the other muscles in our bodies,...Ch. 9 - Integrated Concepts Suppose we replace the 4.0-kg...Ch. 9 - (a) What force should the woman in Figure 9.45...Ch. 9 - You have just planted a sturdy 2-m-tall palm tree...Ch. 9 - Unreasonable Results Suppose two children are...Ch. 9 - Construct Your Own Problem Consider a method for...
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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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