7-P7. Rod AB is pin connected to a collar at A and rests against a small roller at C. (a) Neglecting the weight of rod AB, derive an equation in P, Q, a, 1, and that must be satisfied when the rod is in equilibrium. (b) Determine the value of 0 corresponding to equilibrium when P-16 lb, Q-12 lb, 1-20 in., and a = 5 in. A 10 C d D B

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.