The figure below represents equilibrium. 85 N 60 N 45 100 N 30 F
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- Calculate the value of y2The band in the figure below is stainless steel (coefficient of linear expansion = 17.3 ✕ 10−6°C−1; Young's modulus = 18 ✕ 1010 N/m2). It is essentially circular with an initial mean radius of 5.4 mm, a height of 4.4 mm, and a thickness of 0.51 mm. If the band just fits snugly over the tooth when heated to a temperature of 81°C, what is the tension in the band when it cools to a temperature of 37°C?SOM 5. Show your complete solution. ( I know the answers but I need the detailed solution) Given answers: Deformation of AB = 0.121 mm Deformation of CD = 1.011 mm Vertical Displacement of E= 0.242 mm
- a container, in the form of hemisphere, is 800 mm across the top. It contains oil (s=0.82) at a depth of 300 mm. Determine the mass and weight of oil in the container.3. Three bars each made from different materials are placed between walls when the temperature is 14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are given in the figure Answer: R= 3502.30 NA line was determined to be 3,069.72 m when measured with a 50-m steel tape supported throughout its length under a pull of 5 kg at a mean temperature of 36°C. The tape used is of standard length at 20°C under a pull of 6 kg. Cross-sectional area of the tape is 0.04 cm 2 . Coefficient of thermal expansion is 0.0000116/°C. Modulus of elasticity of tape is 2x10 6 kg/cm 2 . Calculate the following: a. Error in the length due to change in temperature. b. Error of the tape due to tension. c. Corrected length of the line.
- The True weight (weight in air) of a metal block is 0.25lb. The volume of the cube is 1.0in^3. A. What is the apparent weight of the cube when it is fully submerged under water? (Apparent weight = True weight-Buoyant force) B. The same cube is submerged in glycerin (specific weight of glycerin = 78.6 lb/ft^3). What is the new apparent weight?Consider 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.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)
