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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 the rod, is 1/3 𝑚𝑙^2. (b) A uniform rod AB of mass m and length 1 m has a uniform disc of mass m and radius 10 cm attached
(2019)
(a) When 2 specific substances are mixed, the volume of the mixture is equal to the sum of the original volumes. (b) A liquid of density 𝜌 rests on another liquid of density 2𝜌 without mixing.
(a) A particle P moves along a straight line. (b) A particle, of mass 𝑚 falls vertically downwards under gravity.
(a) A car is travelling on a straight level road at a uniform speed of 26 m s–1 when the driver notices a tractor 91.2 m ahead.(b) A 60 gram mass is projected vertically upwards with an initial speed of 15 m s–1 and half a second later a 40 gram mass is
(2020)
(a) Two straight roads intersect at an angle of 30°. (b) A woman can swim at 5/8 m s–1 in still water.