Please solve in statics quickly EHide blocksThe two springs (AB) and (AC) are shown, in figure (a) below, in their original unstretched position. After the application.of a force F, the stretched position is shown in figure (b). The stiffness of spring (AC) is k(AC) = 200 lb/ft. The stiffness ofthe spring (AB), k(AB), is unknown. What would be the stretched length in spring (AB)?B3.KAB3 ftKac- 200 !by 2ftww

Answered: Image /qna-images/answer/12b36542-713d-4880-a4ea-66b40411d7b9.jpg

Answered: What would be the stretched length in…

Engineering

Mechanical Engineering

What would be the stretched length in spring (AB)?

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.6P

See similar textbooks

Similar questions

Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.
A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?
A 27‑kg sing is attached to the right end of a horizontal beam (the beam's mass m = 7.7 kg). The left end of the beam is mounted into a wall and it's right end is supported by a string which makes an angle θ = 32° with the beam, see the picture below. Find the magnitude of the tension in the string. 1. The tension in the string, T Find the reaction force exerted by the wall on the beam. 2. The x component of the wall's reaction force, Rx = 3. The y component of the wall's reaction force, Ry =
Consider the system formed by three ideal springs, a rigid rod of negligible mass and a body of mass M, as illustrated in the figure. The two springs attached to the ceiling are identical and have spring constant K1 = 2 kg/s2 and natural length L1 = 10 cm, while the third has spring constant K2 = 3 kg/s2 and natural length L2 = 20 cm. Assume that the mass M and the rod oscillate only along the vertical x-axis and that the gravitational acceleration is uniform with magnitude g=10 m/s2. What is the mass oscillation period? Choose the closest value.
Under some circumstances, when two parallel springswith constants k1 and k2 support a single mass, theeffective spring constant of the system is given byk 4k1k2/(k1 + k2). A mass weighing 20 pounds stretchesone spring 6 inches and another spring 2 inches. Thesprings are first attached to a common rigid supportand then to a metal plate. As the figure illustrates(see image), the mass is attached to the center of the plate in the distributiondouble spring. Determine the constant of theeffective spring for this system. find the equationof motion if the mass is initially released fromequilibrium position with downward speed of2 ft/sec.
a ladder whose length L is 12 m and whose mass is 45 kg rests against a wall. Its upper end is a distance h of 9.3 m above the ground, as in the Figure. The center of gravity of the ladder is one-third of the way up the ladder. A firefighter whose mass M is 72 kg climbs halfway up the ladder. Assume that the wall, but not the ground is frictionless. What forces are exerted on the ladder by the wall and by the ground?
Consider the mass spring system shown in the figure below. The system is subject to a time dependent force
The device diagramed in the figure below is called an Atwood's machine. Let m1 = 2kg and m2 = 4 kg. Assume the pulley to be frictionless and massless. How far will m2, fall in time t = 0.5 s after the system is released? What is the tension in the light cord that connects the two masses?
A greedy cat of 4 kg is suspended at the end of the cabinet with a flap in which we store his treats (see the figure on the image). The valve is held in place by a rope attached to 5 cm from the pivot and acts at 10 in relation to the vertical. The damper is a homogeneous wood board of 2 kg mass and has an angle of 20 under the horizontal when opened. What is the tension module in the rope? 2. Determine the module of the horizontal and vertical forces exerted by the pivot.
A greedy cat of 4 kg is suspended at the end of the cabinet with a flap in which we store his treats (see the figure on the next page). The valve is held in place by a rope attached to 5 cm from the pivot and acts at 10 in relation to the vertical. The damper is a homogeneous wood board of 2 kg mass and has an angle of 20 under the horizontal when opened. What is the tension module in the rope? 2. Determine the module of the horizontal and vertical forces exerted by the pivot.
Packaging and distribution system in a factory, through a spring and conveyor beltreferences As given by the figure, the boxes are left on the spring and pushed onto the conveyor belt. The boxes are originally located on uncompressed broadcast h up. When they are left, boxes, each with a mass of m, compress the spring as much as ΔL. All potential energy of the box in the spring is converted into elastic energy. calculate ΔL as [m] for M = 5 kg, spring constant k = 262 N/M, h = 0.85 m, and gravity acceleration g = 9.81 m/s2.
Problem A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire. Solution a) Let us first derive the expression for the tension. By Newton's First Law ΣF = ______ the components of force that makes this so is ΣF = T ______-______ = 0 Simplifying this results to T = _____g/_____(ϕ) Analyzing the figure above, we arrive at _____(ϕ) = sqrt( _____2 +_____ ) / ( _____/_____ +_____ ) By substitution, we arrive at the following: T = _____( _____ + 2_____ ) g / ( _____ sqrt ( _____2 +_____ ) ) If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to T = __________0.370 N