= 12-214. If the truck travels at a constant speed of VT 6 ft/s, determine the speed of the crate for any angle of the rope. The rope has a length of 100 ft and passes over a pulley of negligible size at A. Hint: Relate the coordinates xT and xc to the length of the rope and take the time derivative. Then substitute the trigonometric relation between xc and 0. 20 ft Prob. 12-214 T

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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.