1 A cable and a spring are connected together at point B and held in equilibrium by a vertical force F, as shown in the figure below. The cable has a length LAB 4 ft and is oriented at an angle 0 = 45° from the horizontal, and the spring has a spring constant k = 50 lb/ft. Note that the cable and unstretched spring were initially aligned horizontally between points A and C before loading, with a combined length of L=12 ft. Determine the force in the spring (FBC) and the applied force F.

1 A cable and a spring are connected together at point B and held in equilibrium by a vertical force F, as shown in the figure below. The cable has a length LAB 4 ft and is oriented at an angle 0 = 45° from the horizontal, and the spring has a spring constant k = 50 lb/ft. Note that the cable and unstretched spring were initially aligned horizontally between points A and C before loading, with a combined length of L=12 ft. Determine the force in the spring (FBC) and the applied force F.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: CALC Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is…

A: We are aware that the force Fx=kx-bx2+cx3 operating along the x-axis with an x-component.K has a…

Q: I find a spring that is labeled "80 N/m", but it is actually 3.5 inches long. I fasten a beam…

A: The length of the spring is given to be 3.5 inches. And it has been fastened from a beam 789mm above…

Q: Problem 7: A block of mass 5.5 kg is sitting on a frictionless ramp with a spring at the bottom that…

Q: Problem 1: Consider an object which is going to be pushed up a slope by a spring. The spring has a…

A: The 50 gm object is held against the spring, having a spring constant of 100 N/m Let m=50 gm=50×10-3…

Q: Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50…

Q: Treating the wing as an ideal spring, find the force constant of the wing. Express your answer using…

A: Dear student The force applied by spring of force constant K is given by: F = Kx Also the energy…

Q: A student in a physics lab is asked to classify two springs. Right away, they notice some…

A: Given data: U1 = 10.0 J x1 = 12.0 cm U2 = 20.0 J x2 = 3.00 cm Required: The ratio of the two spring…

Q: Part (a) The block, starting from rest, slides down the ramp a distance 64 cm before hitting the…

Q: A block with mass m = 4.4 kg is attached to two springs with spring constants kleft = 35 N/m and…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The box has a weight of 4 pounds and sits on a frictionless surface. Spring A is initially…

Q: held stretched 1.8 meters beyond its natural length by a force of 90 newtons. If the spring begins…

A: Force F=90 NMass m=10 kgLength stretched x=1.8 m Initial velocity=2 m/s

Q: Three masses (m1 = 3 kg, m2 = 9 kg and m3 = 6) hang from three identical springs in a motionless…

Q: As shown in the figure below, a box of mass m = 7.40 kg is sliding across a horizontal frictionless…

Q: k m A block of mass m = 5.20 kg is being suspended at rest by an extended spring of spring constant…

A: M = 5.2kg K= 36 N/m F= 20N s= 2.45m

Q: Plot a graph of Displacement of 2 springs in a series (x axis) and force from gravity (y axis) and…

A: 1)The required plot is as follows

Q: = 6. A horizontal spring has negligible mass, spring constant k 250 N/m, and is fixed at one of its…

A: As per given data, Spring constant(k) = 250N/m mass(m) = 2.5kg distance compressed (x) = 0.250m…

Q: Two blocks (m and M) are attached to each other, while m is also fixed to a relaxed spring, as…

Q: A spring 1.50 m long with force constant 460 N/m is hung from the ceiling of an elevator, and a…

Q: A block of mass 2.9 kg is sitting on a frictionless ramp with a spring at the bottom that has a…

A: Given data: Mass of the block m=2.9kg Spring constant k=470 N/m The angle of the ramp θ=13° Distance…

Q: At an archery event, a woman draws the string of her bow horizontally back from 0 to 0.416 m with a…

Q: Problem 1 A 1-kg block is 3 meters from a light spring. The coefficient of kinetic friction between…

Q: Part A A block with mass 0.50 kg is forced against a horizontal spring of negligible mass,…

Q: A cart with mass m is held at rest against a spring with spring constant k. It is compressed a…

Q: You have a light spring which obeys Hooke's law. This spring stretches 3.28 cm vertically when a…

A: a) Write the equation of Hooke’s law and substitute the required values to calculate the force…

Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

100%

A cable and a spring are connected together at point B and held in equilibrium by a vertical force F, as shown
in the figure below. The cable has a length LAB = 4 ft and is oriented at an angle 0 = 45° from the
BIBION
horizontal, and the spring has a spring constant k 50 lb/ft. Note that the cable and unstretched spring
were initially aligned horizontally between points A and C before loading, with a combined length of
L=12 ft. Determine the force in the spring (FBC) and the applied force F.
A
FBC = 80
F= 110.88
0
F
B
Lw
W
lb
wwwwww
k
? 100%
lb ? X0%
C

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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 1.5 kg block is forced against a horizontal spring, compressing the spring 0.17 m. When released, the block moves on a horizontal table top for 1.01 m before coming to rest. The spring constant is 112 N/m. Determine the coefficient of kinetic friction between the block and the table
To measure the static friction coefficient between a 4.50-kg block and a vertical wallI, the setup shown in the drawing is used. A spring (spring constant = 498 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0466 m, what is the coefficient of static friction? Number i Units
A vertical spring 0.100 meter long is stretched to a length of 1.25 meters when a 2 kilogram mass is attached to the bottom. What is the correct value for the spring constant of this spring?
A physical therapist is directing a rehabilitation session with a patient recovering from knee surgery. The physical therapist prescribes some knee extension exercises that involve an elastic band. The stiffness of the band that the patient uses is 1500 N/m. What is the force exerted by the band if it was stretched by 6.5 centimeters? What is the elastic potential energy stored in the band when it was stretched
A bungee jumper stands on the top of a bridge, if her bungee cord is 24.0 m long and has a spring coefficient of 283 N/m and she has a mass of 48.3 kg. How tall must this bridge be for her bungee cord to stretch all the way to the ground? Number Units
Constants A scallop forces open its shell with an elastic material called abductin, whose Young's modulus is about 2.0 x 106N/m². Part A If this piece of abductin is 4.0 mm thick and has a cross-sectional area of 0.45 cm? , how much potential energy does it store when compressed 0.80 mm ? Express your answer using two significant figures. ΑΣφ. ? PE elastic = J Submit Request Answer
Problem 5: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 490 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39⁰
A 500-g block is released from rest and slides down a frictionless track that begins 1.00 m above the horizontal, as shown in the figure below. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 35.0 N/m. Find the maximum distance the spring is compressed. m