4) The 500-kg uniform beam is subjected to the three external loads shown. Compute the reactions at the support point O. The x-y plane is vertical. y 1.2 m A 1.4 kN 1.8 m 15 kN.m B 1.8 m 30° C 3 kN --x a) Ox= -1000N Oy - 1000N Mo = -4000WM b) 0x= 1400W 0y=-1600N Mo=6375Nm c) Ox=17000 Oy =3800~ Mo = 4800NM d) 0x = 1500N Oy = 6100W Mo = 7560N

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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.