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Show that cross product of two parallel vectors is

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Prove the relation

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Show that for an isolated system the centre of mass moves with uniform velocity along a straight line

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The angle θ covered by a body in rotational motion is give by the equation `θ = 6t + 5t^2 + 2t^3`. Determine the value of instantaneous angular velocity and angular acceleration at time `t =

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What is the value of linear velocity if `vecw=3hati-4hatj+hatx and vecr=5hati-6hatj+6hatk

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Establish the third equation of rotational motion

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Find the expression for radius of gyration of a solid sphere about one of its

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Prove that the centre of mass of two particles divides the line joining the particles in the inverse ratio of their

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A planet revolves around on massive star in a highly elliptical orbit is its angular momentum constant over the entire orbit. Give

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Obtain the equation `w=w+o+ at`

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What is the torque of the force `vecF=2hati-5hatj+4hatk` acting at the point `vecr=(3hati+3hatj+3hatk)m` about the

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The distance of the planet Jupiter from the sun is 5.2 times that of the earth.Find the period of the Jupiter’s revolution around the

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Show that for a two particle system

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State two essential requisites of geostationary

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Show that an artificial satellite circling round the earth in an orbit of radius obeys keeper’s third

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A 400kg satellite in a circular orbit of radius 2 Re about the earth calculate the kinetic energy potential energy and total energy of the satellite? `R_E = 6.4xx10^6m M = 6xx10^(24)kg`

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Find an expression for the weight of a body at the centre of the

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Find an expression for gravitational intensity due to earth at a point on its free

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The earths mass is 80 times that of moon and their diameters are in the ratio 4:1 respectively. What is the value of g on

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Determine the value of g at the bottom of an ocean 7km deep Given that radius of earth is 6370 km and g =

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