If a mass weighing 30 pounds stretches a spring 2 feet, then what is the value of the spring constant k? (C)'s (D) None (4) 10 (B) 15
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- A liquid has a volume of 1.3m^3 and weighs 1500kg Determine its unit weight (kN/m^3) Choices are: A. 6.90 B. 12.35 C. 9.87 D. 11.32Two masses are attached to a uniform meter stick as shown in the figure below. Themasses of m1 and m2 are as given and the meter stick weighs 150 g. A force F withunknown magnitude is applied on one end of the stick at an angle of 30° to balancethe system. (a) What is the magnitude of F? (Ans: 6.21 N)(b) What are the reaction forces on the support? (Ans: Rx = 5.38 N; Ry = 5.80 N)Two discs with weights WA and WB, a negligible AB They are attached to the two ends of the rod from their centers. For equilibrium position Calculate the value of α. (WA = 50 N; WB = 200 N)
- Engineering Mechanics - EquilibriumDraw the FBD and determine the reactions at support A. Given the following data: F1 = 330 F2 = 502 F3 = 153 What is the vertical reaction (lb) at the support? Type your answer in positive value, two (2) decimal places without the unit. note: with slight explanations to understand the solutionA force of 450 N is exerted on lever AB as shown in the figure. End B is connected to a piston which fits into a cylinder having a diameter of 60 mm. What force FD acts on the larger piston, if the volume between C and D is filled with water? Please provide an explanation in each solution.Two smooth spheres (each having weight W= 10 kN and radius r= 0.6 meters) rest in a thin‐walled circular cylinder (weight Q, radius R = 4r/3) as shown in Figure. Find the magnitude ofQ required to prevent the cylinder from falling over.
- Ken discovered an element (11.15 kN/m3) that flow through a 215-mm-diameter pipe at a mean velocity of 9 m/s. Determine its mass flow rate in slug/s. Use 1 slug = 32.2 lb and 1 kg = 2.2 lb.a 90 kg smooth circular cylinder A with a radius of 0.6m is held in equilibrium by a cord CD and a bar BC of negligible mass. The length of bar is 2.4m.Question No.3. Derive expression for the following in term of parameter given against them.1. E → GK2. υ → KG
- REPLACE X,Y,Z to its value which is 7Consider a square-faced beam supporting a section of a building. a. Before installation, the length of the beam is found to be l0 = 15.04 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.95 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 36000 kg and has a side length d = 1.5 m. b. If we were to double the dimensions (length and width) of the beam, which of the following are correct. c. Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.Kim Jisoo discovered an element (1.43 kN/m3) that flows through a 100 mm (diameter) pipe at a mean velocity of 3 m/s. Find the weight flow rate in N/s. Round off to two decimal places.