What is the work performed in compressing a quadratic spring, F=kx2, with k=200 N/m², from 2 m to 3 m?
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Q: How far will 20 N of force stretch a spring with a spring constant of 140 N/m
A: Given data: The force is F=20 N The spring constant is K=140 Nm
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A: As per give condition, For solution refer below images.
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- View In: English v In the below arrangement, all the string and pulleys are massless and the inclined plane is frictionless. At t 0, spring is unstretched and a constant force F = mg starts to act. Find the maximum extension in the spring. (Assume incline to be sufficiently long). Question 11 F=mg Options 8mg 1. O k 4 mg 2. O 5 k 8 mg 3. O 15 k 8mg 4. O 3k4u 1 Q A simple representation of a vehicle suspension system is shown in Figure above. Assume that the forces produced by the springs and dampers act at the end points P and Q and that x₁ and x2 are the displacements of these points from equilibrium. The force exerted by a damper is proportional to the velocity of one end of the damper relative to the other end, and the springs obey Hooke's law. Assume that the mass of the platform can be neglected so that the spring motions can be regarded as independent. The control force 4u is applied one-quarter of the way from one end of the platform. b₁ b₂ =1, k₁=1, k₂ =2 a) Derive the two-dimensional state-space model of this simple representation of a vehicle suspension system. b) If the ends of the platform are each given an initial displacement of 10 units, find a control law that returns the platform to equilibrium at t = 1 sec. c) Plot x1, x2, and u versus time (Provide the MATLAB code)k, k3 A В k2 What is the equivalent spring stiffness between the points A and B. If ki = 1 N/m, k2 =1 N/m. k3 = 2 N/m and k4 = 2 N/m A N/m
- Chapter 07, Problem 027 Z Your answer is partially correct. Try again. A spring and block are in the arrangement of the figure. When the block is pulled out to x = +4.0 cm, we must apply a force of magnitude 370N to hold it there. We pull the block to x = 11.0 cm and then release it. How much work does the spring do on the block when the block moves from x, = +5.0 cm to (a) x = +4.0 cm, (b) x = -4.0 cm, (c) x= -5.0 cm, and (d) x = -10.0 cm? x=0 Block F= 0 attached elleeee to spring (a) x positive F, negative (b) ugen/shared/assignment/test/aglist.uni?id=.. x negative 9:34 PM search A ENG 4/4/2021 ASUS 13) 1ghome f10 snd 17 4 7. 00 16 3.2- Two mass-spring systems A & B both have stiffness of k-10 N/m. The mass of system A is twice the mass of system B (mA=2mg= 1 kg), which system will oscillate faster? Why? Support your answer with a plot.1- Two mass-spring-damper systems A & B. System A has = 0.1 and @n = 20 rad/sec, and system B has < = 0.3 and wn = 5 rad/sec. Which system will vibrate longer in time? Why?
- The uniform bar shown in the attached figure is pivoted at point O. Its motion is controlled by three springs and a damper as illustrated; find the value of the damping coefficient C, if the damping ratio is to be 0.4. Given the following data Data: k₁-7000 N/m, k₂=8000 N/m, ky 10000 N/m, M = 12 kg, b=0.4 m a=0.2 m J-0.5 Kg.m² Lif ww Bar MJ $0 www.mA 25-hp. 1750-rpm electric motor drives a machine through a multiple V-belt. The size 5V belts has unit weight of 0.012 lbf/in.) The pulley on the motor shaft has a 3.7-in. pitch diameter and geometry is such that the angle of wrap, o is 165º. k is consenvatively assumed that the maximum belt tension (F1) should be limited to 150 lbf, and that the coefficient of friction will be at least 0.512. [Hints: Use equations 17.18, 17.21, (h)]Consider the mass spring system shown in the figure below. The system is subject to a time dependent force
- Problem 3: A helical spring is designed to have a stiffness of 500 N/m. The spring has a wire diameter of 5 mm and an outer diameter of 30 mm. Determine the number of coils required for the spring if the spring index is 6. Problem 4: A helical spring is compressed by a force of 100 N, resulting in a compression length of 20 cm. The spring has a wire diameter of 3 mm and a mean coil diameter of 15 cm. Determine the spring constant (stiffness) of the spring.Find the equivalent spring constant spring constant of the system. Say, k1 = 20 lb/in, k2 = 35 lb/in, k3=18 lb/in,k4 = 50 lb/in, k5 = 45 lb/inWERK the equivalent spring constant for below if the constant spring is 80 ?N/m k1 m3 k3 k6 m1 k4 m6 m2 k5 840 Non one of them 540 480 O k2