Question

please include chosen coordinate system (a bit of explanation would help to understand why this frame was chosen) and a Free Body Diagram.Thank you

A speed governor consists of a block of mass m that slides within a smooth groove in a turntable that rotates about its centre point 0 at angular speed Ω. The identical opposing springs, whose stiffnesses are k, are precompressed. Consequently the springs maintain their contact with the block regardless of the displacement s. The system lies in the horizontal plane. Do the following: Derive an expression for the normal force exerted by the groove wall on the block 2(t), i.e. it is an arbitrary function of time determine s(t) when s(0) 0. (Hint: you will have to handle two cases: one when > and one where Ω s|28) a) b) Derive the differential equation governing s as a function of time in the case where Ω- c) For the case in which is constant, solve the differential equation in part b) for to 2k Figure 3: System for Question 2

Answer 1