Cylinder with length L floating on water
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A wooden cylinder is floating in water. The length of the cylinder is 40 cm and...
A wooden cylinder is floating in water. The length of the cylinder is 40 cm and diameter is 14 cm. The density of wood is 0.38 gm/cc. At the equilibrium position the cylinder makes 30 degree with the surface of water. Find the length of cylinder submerged in water (both the longer and shorter side - when you imagine a 2D picture of the submerged cylinder, there is a shorter length and a longer length submerged in water).
A cylinder of length LL and density is floating in a large tank with water
A cylinder of length \(L\) and density \(\rho\) is floating in a large tank with water (with density \(\rho_{\mathrm{w}}\) ) and oil (with density \(\rho_{\mathrm{o}}\) ). The cylinder is initially at rest. It is then pushed downward slightly and released, such that it undergoes a vertical oscillatory motion around the initial position. Assume that the fluids are incompressible and inviscid. Throughout the motion, the cylinder is always partially in the water, and partially in the oil.(a) Express the acceleration of...
A tire swing of length L = 6.3 m hangs from a tree over the water. ...
A tire swing of length L = 6.3 m hangs from a tree over the water. On a hot day, a swimmer uses the swing to jump into the lake, and afterward the swing oscillates as a simple pendulum. What is the period of this pendulum? Question options: 5.0 s 6.0 s none of these 3.1 s 4.3 s Question An electric field of magnitude 100. N/c points vertically downward near Earth's surface. What force does a free electron experience...
A cylindrical cork of radius R and length L is floating in a liquid such that...
A cylindrical cork of radius R and length L is floating in a liquid such that its axis of symmetry is vertical and half of the length of the cork is below the fluid (the density of the fluid is p), as in Figure 2. For this problem, ignore any effects from friction, drag and the viscosity of the fluid (a) Show that the density of the cork, Pe is half that of the fluid (Pe ps) (b) If the...
A cylinder of radius R, length L and density pc floats in water with its axis...
A cylinder of radius R, length L and density pc floats in water with its axis oriented vertically. Let pw be the density of water and let y be the distance from the surface of the water to the top of the cylinder. Determine the differential equation describing this system and solve it. In you answer include the frequency of oscillation and the equilibrium position in terms of pc,pw, L and g.
A cylinder is fitted with frictionless floating piston oriented horizontally with gravity and contained 24.5 L...
A cylinder is fitted with frictionless floating piston oriented horizontally with gravity and contained 24.5 L of air at 25oC and 1 bar. The system is then heated to 250oC. If the heat capacity at constant volume (Cv) is 5R/2, calculate the heat that added to the system when the kinetic energy, potential energy and shaft work are negligible.
A right circular cylinder has radius R and length L. and a nonuniform volume charge density...
A right circular cylinder has radius R and length L. and a nonuniform volume charge density p(p). If the z axis is chosen to coincide with the axis of the cylinder, the charge density is p(p) - p{z2) = p(z, z) = .p_0 + beta_ z. This means that the charge density varies linearly along the length of the cylinder. Find the force on a point charge q placed at the center of the cylinder. (Adapted from Reitz. Milford, and...
Thanks. A train of proper length L has clocks at the front and back. A photon...
Thanks.
A train of proper length L has clocks at the front and back. A photon is fired from the back of the train to the front. Working in the train frame, we can easily say that if the photon leaves the back of the train when the clock there reads zero, then it arrives at the front when the clock there reads L/c. Now consider this setup in the ground frame, where the train travels by at speed v....
Questions 1-2: With the length L adjusted so that Q of water in Vessel #1 is: 1.yi(t), the differential equation descri...
Questions 1-2: With the length L adjusted so that Q of water in Vessel #1 is: 1.yi(t), the differential equation describing the height The height of water in the collection chamber, which also has cross-sectional area A 1, is given by the integral Height in the collection chamber 0 Since A 1 for both vessel #1 and the collection chamber, the above equation just says the water is conserved The water clock would be ideal if and only if the...
2) A long plastic cylinder with a radius of R and length L has a uniform...
2) A long plastic cylinder with a radius of R and length L has a uniform positive charge density. The total charge on the cylinder is Q. (a) Derive an approximate formula for the electric field as a function of r near the surface at location A. (b) Derive an approximate formula for the electric field as a function of r for locations inside the cylinder near the center such as location B.
A wooden cylinder is floating in water. The length of the cylinder is 40 cm and diameter is 14 cm. The density of wood is 0.38 gm/cc. At the equilibrium position the cylinder makes 30 degree with the surface of water. Find the length of cylinder submerged in water (both the longer and shorter side - when you imagine a 2D picture of the submerged cylinder, there is a shorter length and a longer length submerged in water).
A cylindrical cork of radius R and length L is floating in a liquid such that its axis of symmetry is vertical and half of the length of the cork is below the fluid (the density of the fluid is p), as in Figure 2. For this problem, ignore any effects from friction, drag and the viscosity of the fluid (a) Show that the density of the cork, Pe is half that of the fluid (Pe ps) (b) If the...
A right circular cylinder has radius R and length L. and a nonuniform volume charge density p(p). If the z axis is chosen to coincide with the axis of the cylinder, the charge density is p(p) - p{z2) = p(z, z) = .p_0 + beta_ z. This means that the charge density varies linearly along the length of the cylinder. Find the force on a point charge q placed at the center of the cylinder. (Adapted from Reitz. Milford, and...
Thanks.
A train of proper length L has clocks at the front and back. A photon is fired from the back of the train to the front. Working in the train frame, we can easily say that if the photon leaves the back of the train when the clock there reads zero, then it arrives at the front when the clock there reads L/c. Now consider this setup in the ground frame, where the train travels by at speed v....
Questions 1-2: With the length L adjusted so that Q of water in Vessel #1 is: 1.yi(t), the differential equation describing the height The height of water in the collection chamber, which also has cross-sectional area A 1, is given by the integral Height in the collection chamber 0 Since A 1 for both vessel #1 and the collection chamber, the above equation just says the water is conserved The water clock would be ideal if and only if the...
2) A long plastic cylinder with a radius of R and length L has a uniform positive charge density. The total charge on the cylinder is Q. (a) Derive an approximate formula for the electric field as a function of r near the surface at location A. (b) Derive an approximate formula for the electric field as a function of r for locations inside the cylinder near the center such as location B.
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