Example of reduce system to a single force and couple, Mechanical Engineering

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Example of Reduce system to a single force and couple:

A system of parallel forces is acting on rigid bar as shown in the figure given below. Reduce this system to a single force

1768_Reduce system to a single force.png

A single force and a couple at B: As AE = 0.833 m, then BE = 3.5 - 0.833 = 2.67 m

Now, force R = -60N is moved to the point B, by single force R = -60N

and couple of magnitude = R × BE = -60 × 2.67 = 160 Nm

1568_Example of Reduce system to a single force and couple.png

Therefore single force is 60 N and couple is 160 Nm

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