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Mechanics

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11 Jul 2008 14:25:06 IST

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Fluid Mechanics Questions, Rates Assured

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Q1. A Cylinder of radius 1cm, length 4cm, made of a material of specific gravity 0.75 floats in water with its axis vertical. It is then pushed vertically downwards, so as to be just immersed. Find,a) The work done.b) The reduction in the force on the bottom of the containing vessel when the cylinder is subsequently taken out of water. Assume that volume of water in the vessel >> volume of cylinder. (g = 10m/s^2) Q2. A solid sphere of mass 2 kg and density 500 kg/m^3 is held stationary relative to a tank filled with water. The tank is accelerating upward with acceleration 2 m/s^2. Calculate,a) T

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Karthik M

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Joined: 1 May 2007

Posts: 2830

11 Jul 2008 21:33:23 IST

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Simply balance forces on the ball. If you are working in the frame of the vessel, introduce a pseudo force downwards.

The force equation is simply T+B = mg + ma

If the thread snaps, then the acceleration is T-mg-ma

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