problem 15 consider the mechanism shown in the figure below that is co
Problem 15. Consider the mechanism shown in the figure below that is constructed from two identical slender bars of mass m and length 21 pinned together; a roller of radius r, mass M, and radius of gyration R about its axis; and a spring with spring constant k. The mechanism sits in the vertical plane with the left end of Bar 1 pinned to the pivot at O and the right end pinned to Bar 2 at A. The other end of Bar 2 is pinned to the roller (see figure below). Assume all joints in the mechanism are frictionless. The system is initially at rest at position theta =theta 0with the spring in its natural unstretched equilibrium position. When the system is released from rest, it is assumed to roll without slipping on the fixed horizontal support 0. [5 pts] (a) Determine the angular velocity of the bars at the instant they become horizontal theta = 0. 5 pts](b) Find a condition on the parameters that is necessary for the bars to reach the final horizontal position (i.e., it's spring force versus gravity!).
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