A uniform ladder is 15 m long and weighs 210 N. In the figure, the ladder leans against a vertical, frictionless wall at height h = 6.5 m above the ground. A horizontal force F is applied to the ladder at distance d = 1.6 m from its base (measured along the ladder). If force magnitude F = 58 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F = 140 N, what are (c)x-, (d)y- components of the force of the ground on the ladder? (e) Suppose the coefficient of static friction between the ladder and the ground is 0.38; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall?

A uniform ladder is 15 m long and weighs 210 N. In the figure, the ladder leans against a vertical, frictionless wall at height h = 6.5 m above the ground. A horizontal force F is applied to the ladder at distance d = 1.6 m from its base (measured along the ladder). If force magnitude F = 58 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F = 140 N, what are (c)x-, (d)y- components of the force of the ground on the ladder? (e) Suppose the coefficient of static friction between the ladder and the ground is 0.38; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 82PQ

See similar textbooks

Related questions

Q: The members of a truss are pin connected at joint 0. Determine the magnitude of F and its angle 0…

Q: A 35.4 kg beam is attached to a wall with a hinge and its far end is supported by a cable. The angle…

Q: A uniform ladder is 15 m long and weighs 21ON. In the figure, the ladder leans against a vertical,…

Q: A person carries a plank of wood 2.00 m long with one hand pushing down on it at one end with a…

Q: 37° 10 m A uniform beam of length 10 m and weight 60 N is attached to a wall by a cable as shown in…

Q: A uniform board supports two children weighing 500 N and 350 N. If the support is at the center of…

Q: A uniform board of length L and weight W is suspended between two vertical walls by ropes of length…

Q: The drawing shows a firefighter standing on a uniform ladder of length L. The ladder leans against a…

A: The free-body diagram of the ladder leaning on a wall is shown below. Here, A denotes the axis of…

Q: For the stepladder shown in the figure, sides AC and CE are each 2.90 m long and hinged at C. Bar BD…

A: Weight of the person is given by, W= 684 N. AC=CE=2.90 m and the length of the tie-rod=0.668 m.

Q: As shown in the figure below, a stick of length L = 0.410 m and mass m = 0.180 kg is in contact with…

Q: A maintenance technician uses a uniform ladder of 3 m long and weighs 200 N. It is placed against a…

Q: A 40-kg uniform ladder that is 5.0 m long is placed against a smooth wall at a height of h = 4.0 m,…

A: Can be solved by simple torque balance.

Q: A uniform ladder is 16 m long and weighs 180 N. In the figure, the ladder leans against a vertical,…

A: In this question we are given that a uniform ladder is 16 m long and weighs 180 N. In the figure,…

Q: A uniform ladder is 16 m long and weighs 180 N. In the figure, the ladder leans against a vertical,…

Q: A 10 m ladder with a mass of 15 kg leans against the wall. If the ladder is in static equilibrium,…

A: Given. m = 15 Kg L = 10m Concept - Force balancing in all directions.

Q: Cable 1 40 N Cable 2 1 m A uniform 50 N beam that is 10 m long is suspended horizontally by two…

Q: The 3 m long uniform plank is supported by a fulcrum at the midpoint. Where should a 45 kg student…

A: Given: The mass of the student is 45 kg. The length of the plank is 3 m. The free-body diagram is…

Q: A uniform beam of length L = 2.2 m and mass M = 33 kg has its lower end fixed to pivot at a point P…

A: Given that:L=2.2 mM=33 kgθ=15°

Q: A person is standing on a section of uniform scaffolding as shown in the figure. The section of…

Q: The figure shows a uniform, horizontal beam (length = 10 m, mass = 25 kg) that is pivoted at the…

A: Given: Length, L = 10 m Mass of rod, m =25 kg Mass of person, M = 60 kg Distance of person from…

Q: What force must be applied at point P to keep the structure shown in equilibrium? The weight of the…

A: Here the body is in static equilibrium, thus the net forces acting on the body will be equal to…

Q: For the stepladder shown in the figure, sides AC and CE are each 3.09 m long and hinged at C. Bar BD…

Q: Auniform ladder is 16 m long and weighs 180 N. In the figure, the ladder leans against a vertical,…

A: According to our answering policies, I can answer only first three subparts of this question. The…

Q: A horizontal 8.0 m long 57 N uniform bar at one end is attached to a wall by a frictionless hinge…

Q: A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by…

Q: A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

Q: A 2.50 [kg] block is positioned 2.25 [m] from the center of a long uniform beam. At what distance x…

Q: A uniform ladder is 15 m long and weighs 210N. In the figure, the ladder leans against a vertical,…

A: Here given the length of the ladder is, AC=15 m, the height of the wall is, BC=6.5 m, the weight of…

Q: A uniform plank has mass M = 9 kg and length L = 4.0 m. A box of mass m = 2.2 kg rests on it at a…

A: Given data: The mass of the uniform plank, M=9 kg. The length of the plank, L=4.0 m. The mass of…

Q: The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and…

A: The beam is at rest and so the sum of the torques must equal zero. But we can choose about which…

Q: The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and…

A: Given data The weight of the beam is W = 340 N The angle applied force is θ = 44°

Q: 1. A0.5 kg uniform meter stick is hinged at 0.5 cm from one end and held horizontally by a force T…

A: 1) a) Analyze the following figure. As the stick is held stationary, the net torque acting on the…

Q: A person carries a plank of wood 1.9 m long with one hand pushing down on it at one end with a force…

Q: 2. A 2.4 m ladder rests on a vertical wall as shown in the figure. The ladder has seven rungs and…

A: Analyze the following diagram. To prevent the ladder from sliding the force of static friction…

Q: As shown in the figure below, a stick of length L = 0.435 m and mass m = 0.300 kg is in contact with…

Q: A 2.4 m ladder rests on a vertical wall as shown in the figure. The ladder has 7 rungs and the rungs…

A: Solution:

Q: A uniform ladder whose length is 6.0 m and whose weight is 430 N leans against a frictionless…

Q: what is the tension in the wire?

A: Given:

Q: A uniform bridge span weighs 50.0x 10° N and is 40.0 m long. An automobile weighing 15.0 x10° N is…

Q: 45 kg.** X = ? +0.4 m -0.5 m 30 kg 40 kg The 3m long uniform plank is supported by a fulcrum at the…

Q: A uniform ladder is 15 m long and weighs 210 N. In the figure, the ladder leans against a vertical,…

Q: 24) A3.00-m-long ladder, weighing 200 N, leans against a smooth vertical wall with its base on a…

Q: Auniform ladder is 16 m long and weighs 180 N. In the figure, the ladder leans against a vertical,…

A: Given: L=16 mW = 180 Nh=10md=2.2 m

Q: A 73 kg man stands on a level bridge of length L. He is at distance L/4 from one end. The bridge is…

A: Since the system is in equilibrium, Since there is no force in the x-direction,

Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

part(c)-part(e)

A uniform ladder is 15 m long and weighs 210 N. In the figure, the ladder leans against a vertical, frictionless wall at height h = 6.5 m
above the ground. A horizontal force F is applied to the ladder at distance d = 1.6 m from its base (measured along the ladder). If force
magnitude F = 58 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F = 140 N, what are (c)x-, (d)y-
components of the force of the ground on the ladder? (e) Suppose the coefficient of static friction between the ladder and the ground is
0.38; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.
A horizontal plank 4.00 m long and having mass 20.0 kg rests on two pivots, one at the left end and a second 1.00 m from the right end. Find the magnitude of the force exerted on the plank by the second pivot. (See Section 8.4.)
A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot located a distance = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 55.0 kg steps onto the left end of the beam and begins walking to the right as in Figure P10.28. The goal is to find the womans position when the beam begins to tip. (a) What is the appropriate analysis model for the beam before it begins to tip? (b) Sketch a force diagram for the beam, labeling the gravitational and normal forces acting on the beam and placing the woman a distance x to the right of the first pivot, which is the origin. (c) Where is the woman when the normal force n1 is the greatest? (d) What is n1 when the beam is about to tip? (e) Use Equation 10.27 to find the value of n2 when the beam is about to tip. (f) Using the result of part (d) and Equation 10.28, with torques computed around the second pivot, find the womans position x when the beam is about to tip. (g) Check the answer to part (e) by computing torques around the first pivot point. Figure P10.28
A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately. Figure P10.73 Problems 73 and 74.
A person carries a plank of wood 2.00 m long with one hand pushing down on it at one end with a force F1 and the other hand holding it up at .500 m from the end of the plank with force F2. If the plank has a mass of 20.0 kg and its center of gravity is at the middle of the plank, what are the magnitudes of the forces F1 and F2?
Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.
A uniform ladder is 10 m long and weighs 200 N. , the ladder leans against a vertical, frictionless wall at height h = 8.0 m above the ground. A horizontal force is applied to the ladder at distance d = 2.0 m from its base (measured along the ladder). (a) If force magnitude F = 50 N, what is the force of the ground on the ladder, in unit-vector notation? (b) If F = 150 N, what is the force of the ground on the ladder, also in unit-vector notation? (c) Suppose the coefficient of static friction between the ladder and the ground is 0.38; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall?
A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is ?1=0.195 and the coefficient of friction between the ladder and the wall is ?2=0.203. Determine the maximum angle α with the vertical that the ladder can make without falling on the ground.
A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1m of the plank hanging over the right support. To what distance x can a person who weighs 377 N walk on the overhanging part of the plank before it just begins to tip?
A person carries a plank of wood 2.00 m long with one hand pushing down on it at one end with a force F1 and the other hand holding it up at .500 m from the end of the plank with force F2 . If the plank has a mass of 20.0 kg and its center of gravity is at the middle of the plank, what are the magnitudes of the forces F1 and F2 ?
a uniform beam of length 12.0 m is supported by a horizontal cable and a hinge at angle u =50.0°. The tension in the cable is 400 N. In unit-vector notation, what are (a) the gravitational force on the beam and (b) the force on the beam from the hinge?
a uniform beam with a weight of 60 N and a length of 3.2 m is hinged at its lower end, and a horizontal force of magnitude 50 N acts at its upper end.The beam is held vertical by a cable that makes angle u = 25° with the ground and is attached to the beam at height h = 2.0 m. What are (a) the tension in the cable and (b) the force on the beam from the hinge in unit-vector notation?