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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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Mar 19, 2022
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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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(a) Which physical quantities are represented by the (i) Rate of change of angular momentum (ii) Product of I and `vecw`(b) Show that angular momentum of a satellite of mass MS revolving around the earth having mass Me in an orbit of radius r is equal to `[G Me
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What is the position of the centre of mass of a uniform triangular
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What is the moment of inertia of a sphere of mass 20kg and radius `1/4` m about its
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What are the factors on which moment of inertia of a body
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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 circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of
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(a) A cat is able to land on its feet after a fall. Why?(b) If angular momentum moment of inertia is decreased, will its rotational K E. . be also conserved?
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A wheel 0.5m in radius is moving with a speed of 12m/s. find its angular
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State the condition for translational equilibrium of a
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How is angular momentum related to linear
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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 moment of inertia of a solid sphere about a tangent is `7/5MR^2` . Find the moment of inertia about a
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Four particles of mass 1kg, 2kg, 3kg and 4kg are placed at the four vertices A, B, C and D of square of side 1m. Find the position of centre of mass of the
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