Question

Two identical uniform disks 1 and 2 each of mass knowns and compare with the number of equations M and radius R are connected to a slender bar 3 obtained of mass m and length 2l by two identical masslessc. Use the equations of b) to find the ODE gov rods of length r. All connections (pivots) are as- erning angle θ. Can you find a first-integral from sumed frictionless. The assembled system is set on this ODE? a horizontal support. The bar is displaced from its d. Deduce the period of the small amplitude equilibrium and released without initial speed. The oscillations of the system by linearizing the ODE system is then observed to oscillate in such a way found ic). Examine the case M m. that the disks roll without slipping. The orientation of massless rods is defined by angle 0 as shown by the Figure a. Kinematics: Find the accelerations ofA (mass center of disk 1), B (mass center of disk 2) and G (mass center of rod 3) in terms of angle0 and its derivatives and the angular accelerations of the wheels. b. Apply Euler's principles to body 1, then body 2, and finally to body 3. Count the number of un- 777T

Answer 1

I have answered all questions but in somewhat different order.

af 0. in die. Length しoualn

hm 3Ma -as me)-sing - and sine case Fi na

OSit where W = LO