Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13, Problem 56CRP
To determine
To calculate: The moment of inertia of a rectangular homogeneous lamina with dimensions
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Chapter 13 Solutions
Calculus
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- An equilateral triangular plate with 6m side is submerged vertically in a tank of water so that its top is 2m to the water surface (as figure below). Calculate the hydrostatic force against one side of the plate. (Water mass density ρ = 1000 kg/m3, and g = 9.8 m/s2)arrow_forwarduse cylindrical coordinates to find the mass of the solid Q of density ρ.arrow_forwardThe Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.8x2 and below the line y=240. (Here, distances are measured in meters.) The water level is 32 meters below the top of the dam. Find the force exerted on the dam by water pressure. Water has a density of 1000 kg/m3, and the acceleration due to gravity is 9.8 m/sec2 Force in newtons = My answer which was incorrect: 1823152287.47arrow_forward
- The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.8x2 and below the line y=240. (Here, distances are measured in meters.) The water level is 32 meters below the top of the dam. Find the force exerted on the dam by water pressure. Water has a density of 1000 kg/m3, and the acceleration due to gravity is 9.8 m/sec2. Force = _________ in newtons Using integral application: Context from my notes: In fluid without motion, the pressure P at depth h is P=w*h, where w is the fluid's weight - density. Fluid force on a constant - depth surface: F = p*A = w*h*A, where A stands for area of the surface. I keep getting an absurd number and don't know what I am doing wrong exactly. Thank you in advance for the help.arrow_forwardFind the moment of inertia about a diameter of a thin spherical shell of radius a and constant density δ.arrow_forwarda) calculate the moment of inertia of the shaded area about x axis b) calculate the moment of inertia of the shaded area about y axisarrow_forward
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