### Problem Statement:Two springs, BA and BC, each have a stiffness of 500 N/m and an unstretched length of 3 meters. Determine the horizontal force \( F \) applied to the cord, which is attached to the small ring B, so that the displacement of the ring from the wall is \( d = 1.5 \) meters.### Diagram Explanation:The diagram displays a mechanical setup involving:- A hand applying a horizontal force \( F \) pulling a cord attached to a ring \( B \).- Two springs, \( k = 500 \, \text{N/m} \) each, connected from points \( A \) and \( C \) to the ring \( B \).- The vertical distance between points \( A \) and \( C \) along the wall is 6 meters.- The ring \( B \) is displaced 1.5 meters horizontally from the wall.### Analysis:We are to identify from the given options the value of force \( F \) that creates the displacement \( d \).### Given Options:- 135 N- 158 N- 177 N- 241 N### Mechanical Analysis:Given:- Spring constant, \( k = 500 \, \text{N/m} \)- Unstretched length, \( L = 3 \) meters- Vertical distance between A and C, \( h = 6 \) meters- Horizontal displacement \( d = 1.5 \) meters### Calculations:The first step is to find the length of the springs when the ring \( B \) is displaced.Let's denote the stretched length of the spring as \( l_{new} \).Using the Pythagorean theorem for triangles \( ABA \) and \( BCB \):\[ l_{new} = \sqrt{(6/2)^2 + 1.5^2} = \sqrt{3^2 + 1.5^2} = \sqrt{9 + 2.25} = \sqrt{11.25} \approx 3.35 \, \text{m} \]Extension \( e \) of the spring:\[ e = l_{new} - 3 = 3.35 - 3 = 0.35 \, \text{m} \]Force exerted by each spring:\[ F_s = k \cdot

Answered: Image /qna-images/answer/339206cf-d5a3-41f2-9411-f7d69e88c066.jpg

The springs BA and BC each have a stiffness of 500 N/m and an unstretched length of 3 m. Determine the horizontal force F applied to the cord which is attached to the small ring B so that the displacement of the ring from the wall is d = 1.5 m. OC 135 N 158 N 177 N 241 N F k = 500 N/m B k = 500 N/m d 6 m

The springs BA and BC each have a stiffness of 500 N/m and an unstretched length of 3 m. Determine the horizontal force F applied to the cord which is attached to the small ring B so that the displacement of the ring from the wall is d = 1.5 m. OC 135 N 158 N 177 N 241 N F k = 500 N/m B k = 500 N/m d 6 m

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 2.0-m-long rod has a density in kilograms per meter A = a + bx ,where a = 1.0 kg/m, b = 1.0 k9/m², and x is the distance from the left end of the rod. The rod rests horizontally with each end supported by a scale. The force exerted by the left scales is 39.2 N 22.9 N 16.3 N 4.0 N 32.6 N
The system is released from rest with the spring initially stretched 3 in. Calculate the velocity v of the cylinder after it has dropped 0.5 in. The spring has a stiffness of 6 lb/in. Neglect the mass of the small pulley. k = 6 lb/in. 100 lb
A speedboat with a mass of 545 kg545 kg (including the driver) is tethered to a fixed buoy by a strong 32.7 m32.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 13700 N,13700 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m)×?2,(450 kg/m)×v2, where ?v denotes the boat's speed. Ignore any drag force on the cable.
Determine the steady-state angle a if the constant force P = 155 N is applied to the cart of mass M = 32 kg. The cart travels on the slope of angle 0 = 24°. The pendulum bob has mass m = 7 kg and the rigid bar of length L = 1.2 m has negligible mass. Ignore all friction. P M m Answer: a = i
A force stretches a wire by 4.0 mm. A second wire of the same material has the same cross section and twice the length. How far will it be stretched by the same force? 4.0 mm 1.0 mm 2.0 mm 8.0 mm 16 mm
A1 kg mass is tied to a string and is being swung in a horizontal circle. The mass has a constant angular velocity of 0.3 rad/s. The string has a Young's modulus of 10 X 106 N/m?, and the string's original length is 0.7 m long. The radius of the string is 0.05 cm. How much does the string stretch? You can think of the string as being shaped like a long, thin cylinder. 5.6 mm 2.7 mm 3.2 mm 4.7 mm 3.8 mm
The stress tensor at a point is given by the following ox = 40 oy = 30 oz = 20 MPa, Txy = 20 MPa, tyz = 40 TxZ = 30 20 MPа , тху %3D 20 МРа , тух %3D 40 тxz %3D %3D MPа calculate stress invariant and prove that it is unchanged when the system is rotated by 60 degree anticlockwise about x3.
The uniform 15-m pole has a mass of 145 kg and is supported by its smooth ends against the vertical walls and by the tension T in the vertical cable. Compute the magnitudes of the reactions at A and B. A 5 m Answers: i T 10 m 10 m N N B
Find the smallest and largest value of P to maintain equilibrium when the weight of the rectangular block is 60N and the coefficients of friction between the block and the rail are u s and W= 88N Hs=0.32 Hk=0.26 e =54° F= 390N e =54°
Problem 6: If cable AB is subject to a tension of 700 N, determine the tension in cables AC and AD and the magnitude of the vertical force F. 3m 6 m- 6 m 3 m B 2 m- 2m 1.5 m
The uniform 15-m pole has a mass of 110 kg and is supported by its smooth ends against the vertical walls and by the tension T in the vertical cable. Compute the magnitudes of the reactions at A and B. B T 10 m 5m A Answers: FA= FB i i 12 m N N
As shown in the figure, a weightless rope is wound on identical cylindrical pulleys of mass m-5 (kg). What is the tensile force (N) on the rope when the system is released. The shaft of the spool above is frictionless. 10 (m / s?)