14-97. A pan of negligible mass is attached to two identical springs of stiffness k = 250 N/m. If a 10-kg box is dropped from a height of 0.5 m above the pan, determine the maximum vertical displacement d. Initially each spring has a tension of 50 N. 1m 0.5 m k = 250 N/m k = 250 N/m www
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- The 1200-lb homogeneous block is placed on rollers and pushed up the 10 incline at constant speed. Determine the force P and the roller reactions at A and B.The homogeneous 240-lb bar is supported by a rough horizontal surface at A, a smooth vertical surface at B, and the cable BC. Draw the FBD of the bar and count the unknowns.The weightless bars AB and CE, together with the 5-lb weight BE, form a parallelogram linkage. The ideal spring attached to D has a free length of 2 in. and a stiffness of 7.5 lb/in. Find the two equilibrium positions that are in the range 0/2, and determine their stability. Neglect the weight of slider F.
- 2. Find the horizontal force P to start the motion of any part of the system of three blocks resting upon one another as shown. The weight of the blocks are W-300 KN, Ws= 100 KN and Wc =200 KN. Between A and B μ=0.30, between C and B, μ =0.20 and between C and the ground, p=0.10. 1 sni brod nog 02.0-4 B C 05.0-4 Solution: tamos quoy worla bre sosia asquar 005 300 en of jells400 N₁-300 F3 N-300- N₂=300 Assuming B and C will not move. F₁ = 300 (0.30) F₁ = 90 kN ne à bns A zelboß 1 P = 90 kN es ensla berb hebnu 02.0- y elin 05.0= q V in Celpris orllanimetsa MX 008 Assuming C will not move: al 1st F2=400 (0.20) = 80 kN OTE Bm ribirte F₂ vica Assuming the three blocks move: F3 = 0.10 (600) F3 = 60 kN P=60 KN Least force is 60 kN.The rod shown, released from rests in this position (0 = 0) and the spring is unstretched. If the body will stopped momently at e = 49 degrees, Find the work done by slender weight in joules. Given L=1.3 m, mass=20 Kg wwww B k 3L/4 L/4 Answer:Determine the stretch in each spring for for equilibrium of the 1.8-kg block. The springs are shown in the equilibrium position. (Figure 1) No elements selected 3m 4 m 3 m kAC = 20 N/m igure kan = 30 N/m www 1 of 1 3 m 4 m kAD- 40 N/m 3 m kAc = 20 N/m kAn- 30 N/m www kAD- 40 N/m Select the elements from the list and add them to the canvas setting the appropriate attributes.
- touchO 101:53 MENG250 - Practice Ass.. •3-41. A continuous cable of total length 4 m is wrapped around the small pulleys at A, B, C, and D. If each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are unstretched when d = 2 m. - 500 N/m D k - 500 N/m 8 wind OEach spring has an unstretched length of 2 mm and a stiffness of k = 350 N/m. Determine the stretch in OA spring required to hold the 25-kg crate in the equilibrium position shown. Determine the stretch in OB spring required to hold the 25-kg crate in the equilibrium position shown.A two degrees of freedom mass spring system is fixed at one end, where independent masses can move only in the vertical direction. Considering the system as finite elements, determine the vertical displacement for each mass. Also draw the free body diagram of this system. Use 'X' KN/m as the stiffness value for all the springs and 'Y' Kg as the value for all masses. Where, 'X'= (63) 'Y'= (93)
- Q3 - The uniform bar OC of length L and mass ( m ) pivots freely about a horizontal axis through O. If the spring of modulus k is unstretched when C is coincident with A, determine the tension T required to hold the bar in the position shown. The diameter of the small pulley at D is negligible. T L/2 45° 30° B L/2 mg A wwwQ3 - The uniform bar OC of length L and mass (m ) pivots freely about a horizontal axis through O. If the spring of modulus k is unstretched when C is coincident with A, determine the tension T required to hold the bar in the position shown. The diameter of the small pulley at D| is negligible. T D L/2 45° B 30 L/2 mg А wwwwGiven the figure shown below, what is the mass of block B on the smooth incline if the system is in static equilibrium? A rope runs from block B up around the frictionless pulley at A down to a 10 kg counterweight. A 1 m В 1 m 10 kg 45°