If the block is held in the equilibrium position shown, determine the mass of the block D.
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- In figure shown, the unstretched length of spring AC is 3 m. If the block is held in the equilibrium position, determine the mass of the block at D. 3 m- 4m- KAc=20 N/m 3m KAB=40 N/m KAD=30 N/mIf the block remains in the equilibrium position shown, determine the mass of the block D. The unextended length of spring AB is 9 m. d1 = 8 m d2 = 10 m KAC = 44 N/m KAB = 70 N/m Mass of block D = ____ kgThe spring is compressed and the piston/cylinder system is in equilibrium. The force due to the spring acts upwards on the piston. Po mp Linear spring b, kp P.
- Problem Statement Based on Problem 6-11 from the textbook. The spring has an unstretched length of L. Determine the mass m of each uniform bar if 0 = 30 degrees for equilibrium. L=0.35m X=1.6m K=160 N/m Unique Values for Each Student: AI Draw the free-body diagrams and write the differential equations of motion for the two masses in terms of x₁ and .x2. b. Find x₁, and X20, the constant displacements of the masses caused by the gravita- tional forces when fa(t) = 0 and when the system is in static equilibrium. K₁ Rewrite the system equations in terms of z₁ and 22, the relative displacements of the masses with respect to the static-equilibrium positions found in part (b). K₂ ele M₂ fa(1) M₁ IIL B Figure P2.15 111 ele /// K M₁ 000 M₂ K ( 000 K fa(1) Figure P2.16 2.16. Repeat all three parts of Problem 2.15 for the system shown in Figure P2.16. Each of the three springs has the same spring constant K.Problem Statement Based on Problem 6-11 from the textbook. The spring has an unstretched length of L. Determine the mass m of each uniform bar if 0 = 30 degrees for equilibrium. L=0.29m X=2.9m K=150N/m Unique Values for Each Student: A
- 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.Equilibrium of Concurrent Force System. The piston of a reciprocating engine exerts a force of 175 kN on the crosshead when the crank is 45° (angle B) past TDC. If the stroke of the piston is 800 mm and the length of the connecting rod is 1.80 m, find the guide force and the force in the connecting rod. Hint: 1=½ stroke; Angle o may be solved using Sine Law in AACO. K= Compressive Force in the connecting Rod E= Piston Effort 70 120 F, = Guide Force Fig. P-1 Fig. P-2 a Tools: EF cos0=0; F sin .=0. R = Ev)* + (E#): ; R 771 =- : tane = sin A sin B sin CFor the system to be in equilibrium CHoices: M1L1=M2L2 R1=R2 M1R1=M2R2 M1=M2 R1L1=R2L2 Show solution
- 2. A 4-lb weight stretches a spring 6 in. The weight is pulled 3 in below the equilibrium position and released. Find the motion of the weight if an cos6t acts on the system. external force f(x) = 4 F(x)= Ma -what is the spring constan" K-F 4 7=33If the block is held in the equilibrium position shown, determine the mass of block D. dm C -d₁ m-dzm KAN/m A d₂-10 m KAC 48 N/m KAD 78 N/m Mass of block D KAB The unstretched length of spring AB is 6 m. d-8m B. N/m kgEach member of the pin-connected mechanism has a mass of 8 kg as shown in Figure Q5. If the spring is unstretched at = 0°, determine the require stiffness k so that the mechanism is in equilibrium when 0 = 30°. Set M =0 D M 10 300 mm 300 mm Figure Q5 mi B 300 mm C