# General Motion

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Please use i, j and k vector coordinates in solving if possible.

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The solution provides a clear, step-by-step solution to the question attached on general motion in physics.

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a)

See attachment:

DC = sqrt(L^2 + r^2)

Angle ADC = phi

sin(phi) = AC/DC = r/sqrt(L^2 + r^2)

cos(phi) = AD/DC = L/sqrt(L^2 + r^2)

Angle CDB = theta - phi

Radius of axle BC = (R = BC) = CD*sin(theta-phi)

=> R = sqrt(L^2 + r^2)*[sin(theta)cos(phi) - cos(theta).sin(phi)]

=> R = sqrt(L^2 + r^2)*[L*sin(theta) - r*cos(theta)]/sqrt(L^2 + r^2)

=> R = ...

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