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Q.

A force of 1000 N in a particular direction must be applied to a block. For same reason. It is not possible to apply the force in that direction but two forces can be applied to 30o and 45o on either side of it in the same plane containing the given force. If the ratio of magnitude of forces as n The value of n is_______.

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answer is 2.

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Detailed Solution

The resultant of F1 and F2 is in direction of 1000 N force. So, the sum of component of F1 and F2 in perpendicular direction of 1000 N force will be zero.∴ F1sin⁡30∘=F2sin⁡45∘ or  F1F2=sin⁡45∘sin⁡30∘=12×12=2∴ n=2
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