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Find the equations of motion of a particle of unit mass moving on a plane in a conservative force field using Hamilton's principle. Prove that the shortest distance between two points is a long a straight line. | Find the shape of the curve of the given perimeter (P) enclosing maximum area. The launching speed of a projectile is five times the speed it has at its maximum height. Calculate the elevation angle at launching. A projectile is launched from ground level with speed V. at an angle above the horizontal. Obtain (i) (ii) The maximum height obtained by the projectile The distance from the starting point at which the projectile strikes the ground (Range). Find the equations of motion of a particle of unit mass moving on a plane in a conservative force field using Hamilton's principle. Prove that the shortest distance between two points is a long a straight line. | Find the shape of the curve of the given perimeter (P) enclosing maximum area. The launching speed of a projectile is five times the speed it has at its maximum height. Calculate the elevation angle at launching. A projectile is launched from ground level with speed V. at an angle above the horizontal. Obtain (i) (ii) The maximum height obtained by the projectile The distance from the starting point at which the projectile strikes the ground (Range).
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a Hamiltons principle states that the actual motion of a system under a conservative force field is such that the action is minimized In the Lagrangia... View the full answer
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