﻿ Two forces have magnitude in the ratio 5:12. If the angle between them is 90°, they give the resultant of magnitude 26N. Find the magnitude of resultant force if the angle between them is changed to 120°. from Physics Motion in A Plane Class 11 Manipur Board

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Physics Part I

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Two forces have magnitude in the ratio 5:12. If the angle between them is 90°, they give the resultant of magnitude 26N. Find the magnitude of resultant force if the angle between them is changed to 120°.

Let magnitude of two forces be F1and F2.

Here,

...(1)

The resultant of  is 26N when angle between them is .

Therefore,

...(2)

Substituting,  in equation (2),

∴

Let R be the magnitude of the resultant when the angle between the two forces is

∴

i.e.,                   , is the magnitude of the resultant between the vectors.
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