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(a) A particle is projected with speed 40 m s–1 from a point A on the top of a vertical cliff of height 30 m. (b) A plane is inclined at an angle 15° to the horizontal.
(2019)
(a) Two particles of masses 0∙4 kg and 0∙3 kg are attached to the ends of a light inextensible string which passes over a light smooth fixed pulley. (b) A smooth wedge of mass 3m rests on a smooth horizontal surface.
(a) A small smooth sphere A, of mass 3m moving with speed u, collides directly with a small smooth sphere B, of mass m moving with speed u in the opposite direction. (b) A smooth sphere P, of mass 2m, collides with a smooth sphere Q, of mass m.
(a) One end A of a light elastic string is attached to a fixed point. (b) A particle P of mass 0∙5 kg is suspended from a fixed point Q by a light elastic string of natural length 0∙65 m and elastic constant 24·5 N m^1.
(a) A uniform rod AB of length 1∙5 m and mass 3 kg is smoothly hinged to a vertical wall at A. (b) Two equal uniform rods GF and FE, each of length 2𝑙 and weight W, are smoothly jointed at F.
