14.69 Determine the equilibrium position of a cyllinder of radius 2 ft, height 4 ft, and...
14.69 Determine the equilibrium position of a cyllinder of radius 2 ft, height 4 ft, and weight 600 lb that is floating with its axis vertical in a deep pool of water density 62.5 lb/ft3.
14.70 Find an expression for the motion of the cyllinder described in Problem 14.69 if it is released from the rest with 1 ft of its height submerged in water
Homework Answers
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14.69 Determine the equilibrium position of a cyllinder of
radius 2 ft, height 4 ft, and...
A swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a depth of 3 ft...
A swimming pool is 20 ft wide
and 40 ft long and its bottom is an inclined plane, the shallow end
having a depth of 3 ft and the deep end, 10 ft. Assume the pool is
full of water. (Round your answers to the nearest whole number.
Recall that the weight density of water is 62.5 lb/ft3.)
swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a...
Hydrostatic Force
A swimming pool is 10 ft wide and 20 ft long and its bottom is an inclined plane, the shallow end having a depth of 4 ft and the deep end, 11 ft. Assume the pool is full of water. (Round your answers to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft3.)Estimate the hydrostatic force on one of the sides.
AY X Calculate the fluid force on one side of a semicircular plate of radius 10...
AY X Calculate the fluid force on one side of a semicircular plate of radius 10 ft that rests vertically on its diameter at the bottom of a pool filled with water to a depth of 14 ft. Assume the weight-density of water is 62.4 lb/ft3.
Problem 4. A water reservoir is open at the top, and has radius r 50 ft...
Problem 4. A water reservoir is open at the top, and has radius r 50 ft and wall thickness t 10 in. what height h of the water will produce a circumferential (hoop) stress of 700 psi in the wall of the reservoir? What is the longitudinal (i.e. axial) stress in the wall due to the water? HINT: Water has a weight density of 62 lb/ft3 (so the pressure is caused by the weight of water), and the reservoir is...
An anchor with a density of 700 lb/ft tied to a rope is submerged in water...
An anchor with a density of 700 lb/ft tied to a rope is submerged in water (but is not touching the bottom). It has a volume of 3.o ft3. What is the buoyancy force on that object? 1. (700 lb/ft3)(3 ft3) 2. (700 lb/ft3)(32.2 ft/s2)(3 ft 3. (62.4 lb/ft3(3 ft3 4. (62.4 lb/ft3)(32.2 ft/s2(3 ft What is the weight of the anchor? 1. (700 lb/ft(3 ft3) 2. (700 lb/ft)(32.2 ft/s2)(3 3. (62.4 lb/ft)(3 ftS) 4. (62.4 lb/ft)(32.2 ft/s )(3 What...
1. A cylinder of mass m, height h and radius r floats partially submerged in a...
1. A cylinder of mass m, height h and radius r floats partially submerged in a liquid of density ρ. One third of the height of the cylinder is above the surface of the water. Johnny pushes the cylinder down by a small distance x<h/3, then he releases it from rest. A) prove that the resulting motion of the cylinder is a simple harmonic motion. B) Find the period of the small oscillations in terms of the given quantities (m,r,h,ρ)...
Water in a vertical cylindrical tank of height 29 it and radius 4 ft is to...
Water in a vertical cylindrical tank of height 29 it and radius 4 ft is to be pumped out. The density of water is 62.4 lb/R. (6) The tank is full of water and all of the water is to be pumped over the top of the tank. Find the approximate work for the slice as shown. Use Delta or A from the CalcPad. Leave in your answer. 32118.5281 ( 29 - y) Ay Find the endpoints for the integral...
A water tank is shaped like a right, circular cylinder with height 6 ft and radius...
A water tank is shaped like a right, circular cylinder with height 6 ft and radius 3 ft. If the tank is filled to 1 ft below the top, find the work required to pump all of the water to the level of the top and let flow over the edge. The density of water is 62.5 lbs per cubic foot.
1. A yule log (a wooden cylinder of radius 5 cm and height 15 cm) is...
1. A yule log (a wooden cylinder of radius 5 cm and height 15 cm) is floating at rest in a pool with 3/4 of its volume below the surface of the water. Find (a) the buoyant force acting on the log, (b) the density of the log, and (e) the mass of the log. (Note: The density of water is 1000 kg/m3)
2. The weight of the disk is 30 lb and its radius of gyration equals 0.6...
2. The weight of the disk is 30 lb and its radius of gyration equals 0.6 ft. The spring has a stiffness of 2 lb/ft and an unstretched length of 1 ft. Find the velocity of the center G at the instant G moves 3 ft to the left. Assume that the disk is released from rest in the position shown and rolls without slipping. k=2 lb/ft
A swimming pool is 20 ft wide
and 40 ft long and its bottom is an inclined plane, the shallow end
having a depth of 3 ft and the deep end, 10 ft. Assume the pool is
full of water. (Round your answers to the nearest whole number.
Recall that the weight density of water is 62.5 lb/ft3.)
swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a...
AY X Calculate the fluid force on one side of a semicircular plate of radius 10 ft that rests vertically on its diameter at the bottom of a pool filled with water to a depth of 14 ft. Assume the weight-density of water is 62.4 lb/ft3.
Problem 4. A water reservoir is open at the top, and has radius r 50 ft and wall thickness t 10 in. what height h of the water will produce a circumferential (hoop) stress of 700 psi in the wall of the reservoir? What is the longitudinal (i.e. axial) stress in the wall due to the water? HINT: Water has a weight density of 62 lb/ft3 (so the pressure is caused by the weight of water), and the reservoir is...
An anchor with a density of 700 lb/ft tied to a rope is submerged in water (but is not touching the bottom). It has a volume of 3.o ft3. What is the buoyancy force on that object? 1. (700 lb/ft3)(3 ft3) 2. (700 lb/ft3)(32.2 ft/s2)(3 ft 3. (62.4 lb/ft3(3 ft3 4. (62.4 lb/ft3)(32.2 ft/s2(3 ft What is the weight of the anchor? 1. (700 lb/ft(3 ft3) 2. (700 lb/ft)(32.2 ft/s2)(3 3. (62.4 lb/ft)(3 ftS) 4. (62.4 lb/ft)(32.2 ft/s )(3 What...
Water in a vertical cylindrical tank of height 29 it and radius 4 ft is to be pumped out. The density of water is 62.4 lb/R. (6) The tank is full of water and all of the water is to be pumped over the top of the tank. Find the approximate work for the slice as shown. Use Delta or A from the CalcPad. Leave in your answer. 32118.5281 ( 29 - y) Ay Find the endpoints for the integral...
A water tank is shaped like a right, circular cylinder with height 6 ft and radius 3 ft. If the tank is filled to 1 ft below the top, find the work required to pump all of the water to the level of the top and let flow over the edge. The density of water is 62.5 lbs per cubic foot.
1. A yule log (a wooden cylinder of radius 5 cm and height 15 cm) is floating at rest in a pool with 3/4 of its volume below the surface of the water. Find (a) the buoyant force acting on the log, (b) the density of the log, and (e) the mass of the log. (Note: The density of water is 1000 kg/m3)
2. The weight of the disk is 30 lb and its radius of gyration equals 0.6 ft. The spring has a stiffness of 2 lb/ft and an unstretched length of 1 ft. Find the velocity of the center G at the instant G moves 3 ft to the left. Assume that the disk is released from rest in the position shown and rolls without slipping. k=2 lb/ft
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