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28/12/2021 4:46 pm
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When F1 force is applied at an angle 45° w.r.t direction of displacement, work done by the force, in this case, is equal to work done when a force F2 is applied on the same block at an angle 60° w.r.t direction of displacement. If displacement in both the cases is the same, the ratio of \(\frac{F_1}{F_2}\) is \(\frac{1}{\sqrt x}\), find x?
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28/12/2021 4:49 pm
Since displacement in both the cases is the same, let it be s
Also, w1 = w2
⇒ F1s cos 45° = F2s cos 60°
⇒ \(\frac{F_1}{F_2}\) = \(\frac{1}{\sqrt2}\)
⇒ x = 2