The smooth bar AB shown rotates in the horizontal plane about point A at the constant rate of 77 rpm. At the instant shown, the 9.4 kg collar C is at r=AC=6.8 m, and it is sliding outward relative to the bar at a speed of 11 m/s. For this instant, the following is required (i) Draw the free body diagram of collar C (ii) Write down the radial and transverse components of the acceleration of the collar C (iii) Write down the equations of motion for collar C (iv) Determine the magnitude of the force(s) exerted by bar AB on the collar

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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.