d. (s) Three blocks are connected to the ceiling with springs as shown. Block 1 (m₁ 11kg), Block 3 (m3 = = = 82kg), Block 2 (m₂ 59kg). If all springs are the same, with spring constant, k = 3.5 kN/cm, how far does Block 2 move from its initial position? Block 1 ww Block 2 www Block 3 < >
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- 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/mUnder 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.novable pulleys S0 the mechanical aduxintage is 3 b. The input force. Mechanical aduentage=load Couttput) Eprtcinput) Iaput R300 kq ż 3 - (00 EOutput mechanical adandaye Identify the following systems shown below: Picture Answer Picture Answer 1. 2. 3. 4. 5. 6. Input Force?
- Member AB (helical spring) and Member AC (axial rod) are carrying a weight at point A. Member AB has the following properties: R = 90 mm, n -4 turns, G- 70 GPa, d- 30 mm, and Talow = 105 MPa while Member AC has the following properties: L= 2.A- 500 mm?, E = 200 GPa, and a low- 30 MPa. Determine the maximum safe %3D value of W (in N). Use simplified formula for the helical spring. A 60°Consider the following spring arrangement. If k1 = 23.92 N/m, k2 = 26.58 N/m, k3 = 40.68 N/m, and F = 79.29 N, what is the equivalent spring constant (N/m) of the given multi-spring system? (Use 2 decimal places for the final answer.) k3 wwwwwwwwww. k₂igure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y 0, and the springs are in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. DE only 225 Your tasks: X k 0 3k a F a M y A Derive an equation of motion for the system in terms of the angular displacement 0, and its derivatives (you should not have y or its derivatives in this equation.) B Derive an equation of motion for the system in terms of the displacement y, and its derivatives (you should not have or its derivatives in this equation. C Assuming there is no external actuator force F acting on the system, write down the total energy H of the system in terms of 0,0 and element constants. Derive an expression for the time derivative H of the total energy. D Transform the equation from part B, which is in y, to another…
- In the graph the force versus displacement of a spring is given (the spring is shown in a separate figure--see below). The x-axis range is ±2 cm. The y-axis range is tFs, where Fs = 220 N. How much work does the spring do on the block (the mass "m") when the block moves from x₁ = 7.6 cm to 4.3 cm? W J y F. X -1.5 -0.5 0 10.5 1 1.5 -F How much work does the spring do on the block (the mass "m") when the block moves from x; = 7.6 cm to -7.6 cm? W = Question Help: Read Submit Question mWrite the global stiffness matrix of the spring assemblage shown. Assume that all springs remain horizontal, the vertical bars at nodes 2 and 3 are rigid and allowed to slide horizontally to the left or right. Node 1 K1 = 2000 lb/in K2 = 2000 lb/in Node 2 m K3 = 1500 lb/in K4 = 1500 lb/in Node 3 F = 250 lb ma K5 = 3000 lb/in Node 4Figure P2-4 2.5 For the spring assemblage shown in Figure P2-5, obtain the global stiffness matrix by the direct stiffness method. Let k(¹) = 1 kip/in., k(²) = 2 kip/in., k(3) = 3 kip/in., k(4) = 4 kip/in., and k(5) = 5 kip/in. 67 que Figure P 2-5 999 2 3 4 ffff 4
- 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 3kRequired information A helical compression spring is wound using music wire of diameter, d, 2.16 mm. The spring has an outside diameter, OD, of 27 mm with plain ground ends and 14 coils. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. What is the force needed to compress this spring to closure assuming that the spring will reach its shear strength at its solid length? The force needed to compress this spring to closure is |N.A wagon weighing 5100 Kg moving at a speed of 8 km/h has to be brought to rest. Springs made of wire diameter 25mm with a Dm of 250mm and with 24 turns are available. Find the number of springs required in buffer to stop the wagon at a compression of 180mm. b)A close coiled helical spring is made of diameter wire 25mm. The spring index is 8. Findthe number of turns required and maximum allowable load if the allowable shear stress is100 MPa and elongation is limited to 40mm. [G=80 GPa