The man sits on a swivel chair which is rotating with a constant angular velocity of 3 rad/s. he holds the uniform 2.5 - kg rod ab horizontal. he suddenly gives it an angular acceleration of 2 rad /s2 measured relative to him, as shown. determine the required force and moment components at the grip, a, necessary to do this. establish axes at the rod's center of mass g, with + z upward, and + y directed along the axis of the rod towards a.

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed