There is a rod rotating around the z axis with angular velocity [itex] \omega [/itex].The angle between the rod and z axis is constant and equal to [itex] \alpha [/itex].A mass m is constrained to move on the rod.The gravitational force is in the negative direction of z axis and the friction between the mass and rod is negligible.At time t=0 , the mass is at distance [itex] r_{0} [/itex] from the origin and is stationary relative to rod.(adsbygoogle = window.adsbygoogle || []).push({});

1-In a proper coordinate system,write the newton's second law for the mass in a inertial frame of reference and write the differential equations of motion.Highlight the expressions indicating the reaction of rod.

2-Solve the differential equations and write the mass's distance from origin as a function of time.

3-Calculate the reaction force of the rod(direction and magnitude)

thanks

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