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(a) Prove that the moment of inertia of a uniform circular disc, of mass m and radius r, about an axis through its centre perpendicular to its plane is 1/2 mr^2. (b) A string is wrapped around a smooth pulley wheel of radius r. A particle of mass m is a
(2012)
(a) Stainless steel is an alloy of iron, chromium and nickel. A piece of stainless steel consists of 70% iron, 20% chromium and 10% nickel by volume. (b) A uniform rod, of length 2 m and weight W, is freely hinged at a point P.
(a) Newton’s law of cooling states that ‘the rate of cooling of a body is proportional to the difference between the temperature of a body and the temperature of its surroundings. (b) A particle of mass m is fired horizontally through a block of resisti
(a) A ball is thrown vertically upwards with a speed of 44·1 m/s. (b) A lift ascends from rest with constant acceleration f until it reaches a speed v.
(2013)
(a) Two cars, A and B, travel along two straight roads which intersect at an angle θ . (b) An aircraft P, flying at 600 km/h, sets out to intercept a second aircraft Q, which is a distance away in a direction west 30° south, and flying due east at 600