Figure below shows a rod that is free to rotate about its center of mass. A force F, = 15 N is applied at d, = 4 m from the COM and another force F, = 17 N is applied at d, %3D %3D = 7 m from the COM, as shown. The magnitude of the total torque about the axis of rotation is: F1 600 COM 300 F2

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Q: Hi can anyone tell me why the summation of Fx=-300sin(30)+150 instead of Fx=-300cos(30)+150?

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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.