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Question: A smooth conical shell with its axis aligned to the vertical and apex pointing downwards has its surface at an angle of 30 degrees to the horizontal. A ball of mass m = 1kg moves in circular mot...

3*cos(3x)

Resolve the reaction force caused by the weight, mg, of the particle horizontally and vertically. Rsin(theta) = mg Rcos(theta)=m(CP)w^2 where w = root (3g/8r).thus tan(theta) = 8r/3CPconsider the right an...

It can be shown that the equation of any plane can be given by r.n=a.n, where r = xi + yj + zk, n is a direction vector normal to the plane, and a is any point vector on the plane. a can be found easily (...

Step 1: find the asymptotesThere are two kinds of asymptotes we look for: vertical and horizontal.The vertical ones happen when y goes to negative...