Eight identical springs are placed side by side (in parallel, like the two springs in the figure), and connected to a large massive block. The stiffness of the eight- spring combination is 1800 N/m. What is the stiffness of one of the eight individual springs? N/m
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- A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.Considering the figure shown, determine the equivalent spring constant of a spring that will represent all of the given springs such that its deflection is along a vertical path with the mass. k1=1N/m k2=2N/m k3=3N/m k4=4N/m and k5=5N/m. (answer in N/m) * k2 m kg k4
- 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 ? wwwEHide blocks 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) = 200 lb/ft. The stiffness of the spring (AB), k(AB), is unknown. What would be the stretched length in spring (AB)? B 3. KAB 3 ft Kac- 200 !by 2ft wwEHide blocks 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) = 200 lb/ft. The stiffness of the spring (AB), k(AB), is unknown. What would be the stretched length in spring (AB)? 8. ft KAB 3 ft 2f+ Kac- 200 y 2F4 24+ [a) ww
- A sandwich board advertising sign is constructed as shown in the figure below. Hinge- Chain G2001 Brooks/Cole Thomson Learning CG CG 0.50 m Uniform board (CG at center) 1.10 m 1.30m The sign's mass is 5.30 kg. (a) Calculate the tension in newtons in the chain assuming no friction between the legs and the sidewalk. XN (b) What force is exerted in newtons by each side on the hinge? X NConsidering the figure shown, determine the equivalent spring constant of a spring that will represent all of the given springs such that its deflection is along a vertical path with the mass. k1=1N/m k2=2N/m k3=3N/m k4=4N/m and k5=5N/m. (answer in N/m) * k2 m k3 k5 k4The figure shows a bicycle wheel resting against a small step whose height is h = 0.100 m. The weight and radius of the wheel are W = 20.0 N and r = 0.390 m. A horizontal force is applied to the axle of the wheel. As the magnitude of increases, there comes a time when the wheel just begins to rise up and loses contact with the ground. What is the magnitude of the force when this happens? Number Units ✪ F
- The first figure gives spring force Fx versus position x for the spring-block arrangement of the second figure. The scale is set by Fs = 190 N. We release the block at x = 13.0 cm. How much work does the spring do on the block when the block moves from x; = +9.0 cm to (a) x = +5.0 cm, (b) x = -5.0 cm, (c) x = -9.0 cm, and (d) x = -11.0 cm? -x (cm) -2 -1 -F, X* = 0 Block attached to spring F = 0 (a) x positive F, negative F (b) x negative F, positive (c)A 27‑kg sing is attached to the right end of a horizontal beam (the beam's mass m = 7.7 kg). The left end of the beam is mounted into a wall and it's right end is supported by a string which makes an angle θ = 32° with the beam, see the picture below. Find the magnitude of the tension in the string. 1. The tension in the string, T Find the reaction force exerted by the wall on the beam. 2. The x component of the wall's reaction force, Rx = 3. The y component of the wall's reaction force, Ry =Figure (a) below represents a diagram of the bones and biceps muscle of the arm of a person supporting a mass. The figure (b) is a biomechanical model of the arm where the biceps muscle is represented by bar AB supported by pins at A and B. The mass suspended is m. 2 kg and the weight of the forearm is 9 N. If the cross-sectional area of the tendon connecting the biceps to the forearm at A is 28 mm2, what is the average normal tension in the tendon? J00 mm 150