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The two forces of magnitude 24 and 7 units act at right angle . Find the resultant of the forces


naseer.palem 29th Sep, 2020
Answer (1)
Tunir Sikdar 29th Sep, 2020

Hi,

The two forces of magnitude 24 and 7 units act at right angle.

The vector law :

Let P and Q be two vectors acting simultaneously at a point and  θ be the angle between P and Q and R be the resultant vector.

R² =P² +2PQcosθ+Q²   (magnitude)

= tan - 1 ((Qsinθ/(P+Qcosθ))


Here magnitudes are 24 adn 7. θ=90°

So

The resultant of the two forces will be :

1. Magnitude : (24² )+(7² )= (576+49)= 625=25 units.

2. Direction; Suppose the vectors are 24i+7j, then the direction of the resultant will be:

= tan - 1 (7/24) in radian.


Hope this helps!

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