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What will be the effect on a rigid body if two like unequal parallel forces act on the body? Will the body translate or rotate or both? If they rotate, with respect to which point will they rotate?enter image description here

Here I have mentioned 'Like Unequal Parallel' forces, not 'Unlike Unequal Parallel' forces.

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If the torque is non-zero the body will rotate and translate. However, if the torque is zero the body will only translate with an acceleration: $a=\frac{F_{1}+F_{2}}{m}$.