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(a) Prove that the moment of inertia of a uniform rod, of mass m and length 2l about an axis through its centre, perpendicular to its plane, is 1/3 ml^2. (b) A uniform circular disc has mass 4m, centre O and radius 4a
(2017)
(a) A spherical piece of ice of radius 10 cm has a piece of iron embedded in it and floats, in water, with 95% of its volume immersed. (b) A solid iron cylinder of diameter 25 cm and height 10 cm is placed upright in an empty cylindrical tank of diam
(a) A particle starts from rest and moves in a straight line with acceleration (25-10v) m s–2, where v is the speed of the particle. (b) A spacecraft P of mass m moves in a straight line towards O, the centre of the earth.
(a) A parcel rests on the horizontal floor of a van. (b) A car C moves with uniform acceleration a from rest to a maximum speed u
(2018)
(a) An aircraft travels at a speed of 400 km h–1 in still air. (b) A river flows with constant speed 4 m s–1 between straight parallel banks a distance 60 m apart.