The 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) = 20 Ib/ft. The stiffness of the spring (AB), k(AB), is unknown. What would be the stretched length in spring (AB)? 8. 3 ft KAB 3 ft 之母,

Translational Mechanical Systems The mechanical system shown in figure is driven by the applied force fa(t). When x1 = x2 = 0, the springs are neither stretched nor compressed. a. Draw the free body diagram(s) and write the differential equations. x2 wwK₁ X1 K₂ voo 000 M₂ fa(t) M₁ B

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A metal rod of length L=8.88 has only three forces applied to it in the directions shown in the diagram below. Force #2 is applied at the midpoint of the rod. If the rod is in static equilibrium and the magnitude of force #1 is 7.15, what is the magnitude of force #2?

Q1\ what the number of degree of freedom for the system show in figure: А. В. С. m. (Sprung Mass) k m2 (Unsprung Mass) b D. ww ww

The circular rod in figure 3 is attached to a vertical rod rotating at 60rpm, a 2.3 Lb can slide without friction along the bar. For what position does the collar remain stationary with respect to the rod. b 0,6 m Figura 3 B

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Two massless springs with different spring constants k₁= 100 N/m and k₂ = 10 N/m are aligned vertically, as shown in figure 1. A block of mass m = 0.12 kg is placed on the bottom spring. The distance between the top of the box and the top spring is h = 0.35 m. You compress the bottom spring Ay = 0.3 m from its equilibrium position (figure 2). When you let go, the box flies up (figure 3) and compresses the top spring (figure 4). Treat the upward direction (↑) as positive, such that the compression of the top spring is a positive displacement. What is the maximum compression of the top spring due to the flying box? Give your answer in units of meters to 2 decimal places. Use g = 9.8 m/s^2. Assume air resistance is negligible. T h EW Ay (2) www Backup link to image (opens in new tab). fumand M риту 4 ² ↑ M ? www

7. The arrangement in the drawing shows a block (mass = 14.0 kg) that is held in position on a frictionless incline by a cord (length = 0.582 m). The mass per unit length of the cord is 1.30 x 10-2 kg/m, so the mass of the cord is negligible compared to the mass of the block. The cord is being vibrated at a frequency of 166 Hz (vibration source not shown in the drawing). What is the smallest angle 0 between 15.0° and 90.0° at which a standing wave exists on the cord?

Th lamp , mass = 10 Kg,  is suspended in the position shown. The undeformed length of spring AB is 0.84 m and the spring has a stiffness of K = 784 N/m. For L= 2.8 m       find Tension in cable AC , Internal force in spring AB, length of AC