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August 22, 2014

Homework Help: Physics

Posted by LingWarm on Monday, September 29, 2008 at 12:46am.

i really dnt understand wen i revise it nw so cn u xplain the solutions 2 me. Thnks.[take g=10 ms^-2] Two particles P & Q, of equal mass m, are attached to the ends of a light inextensible string. The string passes through a small smooth hole at the vertex of a cone fixed with its axis vertical. The cone has semi-vertical angle x, where x = tan^-1(4 /3). The particle P hangs inside the cone & the particle Q is free to move on the smooth surface of the cone. (a) the particles are released from the rest & move in a fixed vertical plane, with the string taut & P moving vertically downwards. Find, in terms of m & g, the tension in the string. Find the time taken for P to fall a distance of 0.2 m from the rest, giving your answer correct to 3 significant figures. (b) the particles are brought to rest. Particle Q is projected so that it moves in a horizontal circle of radius 0.5m on the surface of the cone with constant angular speed w rad s^-1 . Particle P remains at rest. Find, in either order, (i) the magnitude of the force exerted on Q by the cone, giving your answer in terms of m & g, (ii) the value of w, giving your answer correct to 3 significant figures. Ans : (a) (4 mg)/5, 0.447 s (b) i) 1/2 mg N (ii) 3.6 rad s^-1

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