Collar C has a mass of 4 kg and can move along the rotating rod. At the moment shown, the rod rotates at a rate of θ̇ = 6.1 rad/s, which is increasing at a rate of θ̈ = 2 rad/s². Also at this moment, the collar has a radial distance of r = 0.5 m, and a velocity and acceleration relative to the rod of 3 m/s and 1 m/s², both away from point O.
At this moment, determine the magnitudes of (a) the frictional force of the rod on the collar and (b) the normal reaction force of the rod on the collar.
a. f =
b. R =