Crank OA has an angular velocity of w=2 rad/s and an angular accleration of a= 3 rad/s² at the instant when 0= 60°. Find the acceleration of shaft B at this instant. Note: The spring ensures that the roller is always in contact with the surface of the plunger. 20 mm (AO 80 mm

Two additional cylinders, identical to the one shown, can each be hung on the bar by hooks from any of the open holes so that the bar will still be in rotational equilibrium when all three cylinders are hanging from it. From which two holes should the two cylinders be hung? Briefly explain your reasoning.

Problem 151. One end of a rod of mass 1 kg and of length 1 m can freely rotate about a lixed horizontal axis. Initially the rod makes an angle of 30° to the horizontal. A thread of length 1.3 m is attached t0 the (wo ends of the rod. A small pulley can run without friction along the thread, and a weight of mass 0.2 kg is suspended on the axis of the pulley. Determine the work needed to lit the rod to a horizontal position. (Use the value g= 10 m/s? for the acceleration due to gravity.) 30° 1 m

The torque that a motor develops depends on the rotation rate of its drive shaft according to τ(ω) = 137 - 13ω (N m), where the angular velocity is measured in rad/s.  What is the maximum power output of this engine, in W? (Please answer to the fourth decimal place - i.e 14.3225)

A hoop of radius RH and mass mH and a solid cylinder of radius Rc and mass mc are released simultaneously at the top of a plane ramp of length L inclined at angle θ above horizontal. Which reaches the bottom first, and what is the speed of each there?