A thin uniform rod of mass m and length l rotates with the constant angular velocity omega about the vertical axis passing through the rod's suspension point O. In doing so, the rod describes a conical surface with a half separated angle theta.Find the angle theta as well as the magnitude and direction of the reaction force at the point O.

A thin uniform rod of mass m and length l rotates with the constant an

1.	A thin uniform rod of mass m and length l rotates with the constant angular velocity omega about the vertical axis passing through the rod's suspension point O. In doing so, the rod describes a conical surface with a half separated angle theta.Find the angle theta as well as the magnitude and direction of the reaction force at the point O.
Answer» Answer :`[COS^(-1)"(3G)/(2OMEGA^(2)l),1//2momega^(2)lsqrt(1+(7g^(2))/(4OMEGA^(4)l^(2))),cosphi=(4costheta)/(sqrt(9+7cos^(2)theta))`