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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 uniform disc, of mass M and radius r, oscillates as a compound pendulum about a hori
(2014)
(a) When equal volumes of two substances are mixed the density of the mixture is 4000 kg m–3. (b) A cube of side x cm contains water to a height of 18 cm.
(a) A particle moving in a straight line experiences a retardation of 0.7v^3 m s–2, where v m s–1 is its speed. (b) A particle moves in a straight line with an acceleration of (2t – 3) m s–2 at time t seconds.
(a) A particle starts from rest and moves with constant acceleration. (b) A train of length 66.5 m is travelling with uniform acceleration 4/7 m/s.
(2015)
(a) Two cars, A and B, travel along two straight roads which intersect at an angle of 135°. (b) A woman falling vertically by parachute in a steady downpour of rain observes that when her speed is 5 m s–1 the rain appears to make an angle 45° with the v