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

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
Your doctor has told you to watch your weight. Of course, your weight comprises two factors, so you assume that she wants you to watch both your mass and the local value of g. Which explains why you are carrying a small mass mm on an elastic band wherever you go. Most of the time, the elastic band is stretched by a distance of 2.1 cm. However, when you have finished lunch, you go into a very tall building and take the high speed lift (or elevator depending on where you live). Soon after the doors close, you notice that the band (which has linear elastic properties) is stretched by a total distance of 3.5 cm. a) At what rate is the lift accelerating? _____ m.s−2 b) Your doctor will want to know the factor by which your weight has increased after that lunch. Suppose that you stand on scales in the lift while it is accelerating as described above. According to the scales, your weight has increased by a factor of _____ My answers are a)6.6 and b)1.67 but they're wrong.
10
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
1. In the figure shown, a 300-g block is initially connected to a compressed spring at point A, where x = 60 cm and k = 150 N/m. It was released and started moving along the horizontal surface (uk = 0.15) until it moves up along the inclined surface (uk = 0.25). The box then stops at point D along the incline with 0 = 40°. www.m Fx- A C 0 B A. What is the velocity of the block at point B? B. If e = 20 m, what is the change in gravitational potential energy from point A to point D? C. If f = 10 m, what is the value of e? D
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
B3
Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50 N/m, attached to a 50-kg block in an incline (8=30°). With the spring initially at equilibrium position, the block was pushed 0.3 meters up the incline by a 50-N external force applied parallel to the path. If the coefficient of kinetic friction is 0.3, determine the: a) normal force (in Newtons) b) work done by the spring (in Joules) PANY