Kinematics Question 433

Question: At what angle should the two forces 2P and $ \sqrt{2}P $ act so that the resultant force is $ P\sqrt{10}? $

Options:

A) $ 45{}^\circ $

B) $ 60^{o} $

C) $ 90^{o} $

D) $ 120^{o} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ P\sqrt{10}=\sqrt{4P^{2}+2P^{2}+4\sqrt{2}P^{2}\cos \theta } $
$ \therefore $ $ \theta =45^{o} $



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