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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 motion...
JN
2903 Views

Whats the derivative of sin(3x)?

3*cos(3x)
TA
3038 Views

A particle is undergoing circular motion in a horizontal circle, that lies within the smooth surface of a hemispherical bowl of radius 4r. Find the distance OC (explained in diagram) if the angular acceleration of the particle is equal to root (3g/8r).

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 angle...
EB
3100 Views

Find the Cartesian equation of a plane containing the points A(1, 7, -2) B(4, -3, 2) and C(7, 8, 9).

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 (thr...
GM
25800 Views

Write down the equations of the three asymptotes and the coordinates of the points where the curve y = (3x+2)(x-3)/(x-2)(x+1) crosses the axes.

Step 1: find the asymptotes There are two kinds of asymptotes we look for: vertical and horizontal .The vertical ones happen when y goes to negative or positive infinity, which is when the denominator of the...
MT
3949 Views