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- A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).A man weighs 170 lb on the surface of the earth. Compute his weight in an airplane flying at an elevation of 28 000 ft.Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
- torque (or moment) is defined as a force acting perpendicular to a moment arm about a moment center and is defined as: Torque = Force x Distance. A technician is required to apply a torque of 360 lb.·in. (pound·inch) to a series of bolts in an assembly. As part of the technical report that needs to accompany the assembly, you must convert this value to lb.·ft. (pound·foot) and N·m. (Netwon·meter).1 - At what depth below the surface of the oil, relative density 0.89 will produce a pressure of 120 kN/m2. What depth of water is this equivalent to? Depth of oil in meters Answer for part 1 Depth of water is this equivalent toA column of mercury (density of mercury 13,534 g / cm) has a height of 10 ft. Considering a gravitational acceleration value of g = 9.80665 m / s and using the equation To calculate the hydrostatic pressure P = ρgh, determine the pressure exerted by the column of mercury in MPa. (Round the result to 2 decimal places.)
- In a rope-climbing competition, all of the lifting is done by the arms; legs can only dangle. Imagine 220-lb Garvin Smith in training, hanging stationary from the rope, his legs off the floor. When prompted by his coach, he rapidly lifts his center of mass by 4 ft. in 0.65 s. Calculate Garvin Smith's acceleration. Round the final answer to one decimal place. Determine the net force (“force imbalance”) producing the acceleration. Round the final answer to one decimal place. Which forces are acting on Smith? (Note that his arms are part of himself, so they cannot exert a force on Smith.) With what magnitude force is Smith pulling down on the rope? Round the final answer to one decimal place. The force of 130.2 lb points _____.1. x = Mass 20.15 (g) calculate iinto (kg). ; weight = 0.21 (N). 2. Mass = 45.83 (g) calculate into (kg); weight = 0.42 (N). After conversion plot, weight on y-axis and mass on x-axis. How to solve this equation?An open tank, with bottom dimensions of 6 x 8 meters, is 6 meters high. It has oil with specific gravity of 0.884 filling the tank up to the top. It is then accelerated downwards at 5.55 meter per second squared. Determine the resulting force (in kN) at the bottom of the tank during acceleration. to two decimal places.
- 2. A certain metal has a volume of 0.025 cu.m and when immersed in water, it weighs 500 N. Calculate the mass of the object.A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the highest vertex of the plate is 6 meters below the surface and the base is horizontal to the surface. 6 m 6 m 2 m Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m3.)NOTE: Please provide the given, formulas, and units. Show the complete solution with no shortcut please. I'll upvote it after you did it. A 5-kg tank that has a volume of 0.2 m^3 is filled with water. Assuming water's density to be 1000 kg/m^3, determine the weight of the combined system.