Auniform ladder of length 2.1 m and mass 20 kg leans against a vertical wall to make an angle of a = 45° with the ground, as shown in the figure. Assume that there is no friction between the vertical wall and the top of the ladder and that the coefficient of friction between the ground and the bottom of the ladder is u =0.24. A horizontal force Pis applied to the middle of the ladder. Take the gravitational acceleration to be g = 9.81 ms 2. What is the minimum value of P (in Newtons) required to prevent downward sliding of the ladder? a

Auniform ladder of length 2.1 m and mass 20 kg leans against a vertical wall to make an angle of a = 45° with the ground, as shown in the figure. Assume that there is no friction between the vertical wall and the top of the ladder and that the coefficient of friction between the ground and the bottom of the ladder is u =0.24. A horizontal force Pis applied to the middle of the ladder. Take the gravitational acceleration to be g = 9.81 ms 2. What is the minimum value of P (in Newtons) required to prevent downward sliding of the ladder? a

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A wooden beam ( sg = 0.64) is 100mm by 100mm by 6m and is hinged at A as shown in figure2. Assuming…

A: Specific gravity of wooden beam=0.64 Area of beam=100*100 mm2

Q: mply supported beam is subjected to th caulay's Method, and taking E= 70 GN the reactions and verify…

A: 1.1) ∑M = 0RA×3 - 3 - 16×0.9(0.9/2 + 0.6) -20×0.6 =0RA = 10.04 KN∑y =0RA + R B = 20+16×0.9 =34.4RB…

Q: The cylinder in the figure below, having a mass of 100 kg is to be supported by the cord that wraps…

A: The given data is: Mass=100 g β=540° and β=540°×π180 =3π radian μs = 0.3

Q: The uniform 5.5-m pole has a mass of 220 kg and is supported as shown. Calculate the force P…

A: Given data, Static friction = 0.31 Length of pole = 5.5 m Mass of pole = 220 kg

Q: The beam AB, shown in Figure 1a, with length L = 4.5 m is subjected to a uniform distributed load w…

Q: Block A is located on the top of Block B. The weight of block A is 1000 N while the weight of Block…

A: (i) free body diagram of block A

Q: WILEY 11.63 PLUS A sphere of diameter 100 mm, rotating at a rate of 286 rpm, is situated in a stream…

Q: A block is resting on a 30° inclined plane with a µ = 0.3. Find the required force P acting…

A: Let us estimate the force P in step 2.

Q: The uniform 5.3-m pole has a mass of 260 kg and is supported as shown. Calculate the force P…

A: Given:- Mass of pole, m=260 kgLength of pole, L=5.3 mCoefficient of friction, μ=0.29 To find:-…

Q: The mobile crane (weight = 38 kN) shown in the figure moves across the bridge of length, /= 12 m.…

Q: 8. A smooth inclined plane has a gradient of 1 in 5. A body having a mass of 60 kg rests on the…

A: Given:- The gradient of the smooth inclined plane = 1 in 5 The mass of the body = 60 kg The angle…

Q: The uniform 25 lb-f ladder in the figure below rests against the smooth wall at B, and the end A…

Q: A box with a mass of 5 kg is moving down the inclined plane at a constant speed of 6 m/s. The…

Q: 30°

Q: -H=0.5 H = 0.2 - A 10 ft 40°

Q: A 1,100-N uniform boom at p = 67.0° to the horizontal is supported by a cable at an angle = 23.0° to…

A: Given, M = 1100 N ϕ = 67o θ = 23o W = 1750 N

Q: Referring to the figure, block A and B have masses of 14 kg and 9 kg respectively. A horizental rope…

A: Given: The mass of block A is 14 kg. The mass of block B is 9 kg. The coefficient of friction…

Q: 1. In the figure, two blocks are separated by a uniform strut attached to each block with…

A: Given Weight of Block A= 400 lb Weight of Block B= 300 lb

Q: A force P is applied at h = 1.5 meters to the Pokémon Stonjourner as below. If w = 2.5 meters,…

A: h = 1.5m m = 500Kg f = .1 g = 9.81ms2 w = 2.5m

Q: A 1,100–N uniform boom at ? = 58.0° to the horizontal is supported by a cable at an angle ? = 32.0°…

Q: Problem 2: A rope attached one end to a boat is wrapped around a pole to secure it for docking. If…

A: The tesnion created by boat, T2=1500NThe horizontal pull required , T1=50NCoefficient of static…

Q: Teemo is trying to move the crate weighing 15 kN by pulling on the rope at an angle 0 to the…

A: 11. The weight of the crate is 15 kN. The coefficient of friction is 0.25. The normal reaction is,…

Q: A box with a mass of 5 kg is moving down the inclined plane at a constant speed of 6 m/s. The…

A: The values and diagram given in the question are as follows: Mass of block(m)= 5 kg Constant…

Q: A wedge M and a block N are subjected to forces P and Q as shown in the figure. If force P is…

Concept explainers

British Gravitational Bg System Of Units

Measuring is the comparison of a particular physical quantity with its reference value. A unit is a fixed physical quantity. The length is a physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with. 

Question

Auniform ladder of length 2.1 m and mass 20 kg leans against a vertical wall to make an angle of a = 45° with the ground, as shown in the figure.
Assume that there is no friction between the vertical wall and the top of the ladder and that the coefficient of friction between the ground and the
bottom of the ladder is u = 0.24. A horizontal force P is applied to the middle of the ladder. Take the gravitational acceleration to be g = 9.81 ms-2.
What is the minimum value of P (in Newtons) required to prevent downward sliding of the ladder?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Use the slope-deflection method to analyze the continuous beam shown in the Figure below. Draw the shear and bending moment diagram and sketch the elastic curve. El is constant. Show your complete solution.
A box of weight 100 kN shown in the figure to be lifted without swinging. If all the forces are coplanar, the magnitude and direction (e) of force F w.r.t. x axis is 90 kN 40 kN 45° 30° -►X dir 100 kN
A person on horseback is on a drawbridge which is at an angle 9 = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is = 6.99 m long and has a mass of 1,920 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,260 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the tension in the cable (in N). 20623 X Draw a diagram of the bridge, with forces and distances clearly labeled. Use your diagram to write the torque equation for rotational equilibrium with rotation axis at the hinge, and solve your equation for T. N (b) Determine the horizontal force…
Solve for the force P required to imprend motion in the following situation: 1. If force applied to block horizontally. 2. If force applied to block downward at 30° with the horizontal. 3. What should be the minimum force P and its angle from the horizontal is required to start motion?
4. The two masses m;=3.75kg and m2=4.25kg are joined by strings. If the masses are accelerated to the right at 4 m/s? on a smooth surface, calculate the tension in each string. M, M2
A structure is subjected to forces as shown in the figure below. Assuming that the EI of the entire beam section is constant, use the Moment Distribution method to analyze the beam and draw the shear force of the beam Diagram (Shear Curve) and bending moment diagram (Moment Curve).
PROBLEM 1 Find angle a if the resultant of the forces is 500 N to the right along the x axis. P X 200 N PROBLEM 2 If a 20 degrees, and coefficient of kinetic friction is 0.3, what is the magnitude of t LA
1. The force system shown is composed of three forces: A = 37.45 kN, B = 41.07 kN. If β = 56.97°, what should be the magnitude of force C such that the three forces are in equilibrium? Round off to two decimal places.
In the figure shown, each block has a mass of 2-kg. Determine the force P needed to start block B to the left. The angle of friction for all surfaces in contact is A 16.7°. 20° B
The structure ABCD given in the following figure is designed to support a finite mass hanging from a cable, DF, attached to the structure at point D. where x = 3 m, y = 3 m, and z = 4 m. The structure is mounted to the ground by a hinge at B and a roller at C and is also supported by a horizontal cable, AE, attached to the wall. The mass of the object hanging from cable DF is 204 kg. The tension in the support cable AE is 1000 N. Determine the force in each member and the reaction forces. A E D
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 130-lb cabinet is mounted on casters that can be locked to prevent their rotation. The coefficient of static friction between the floor and each caster is 0.30. Consider h = 32 in. 24 in. Determine the magnitude of the force P required to move the cabinet to the right if the casters at B are locked and the casters at A are free to rotate. (You must provide an answer before moving to the next part) If the casters at B are locked and the casters at A are free to rotate, the magnitude of the force required to move the cabinet to the right is Ib+
The force of an inverted L-shaped structure is shown in the figure below. Try to calculate the vertical and horizontal displacements of the bending moment C. The E of the entire structural section is 200 GPa, and the I is 240×10^6 mm^4.