Physics, asked by bondmujeeb6, 1 month ago

The resultant of two forces cannot be less than (1) Average of 2 forces (2) Algebraic sum of two forces (3) difference q the two forces (4) None No Spam Other wise Answer will be deleted ​

Answers

Answered by ItzurAdi
2

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Answered by probrainsme101
0

Answer:

The correct answer is option (3) difference of the two forces.

Concept:

Resultant of two vectors. (Addition of two vectors using triangle law of vector addition).

Find:

The minimum value of the resultant of two forces.

Explanation:

Let one force be represented by vector F_1 and other force is represented by vector F_2 and their resultant be by vector F.

Let the angle between two forces be \theta.

Accordingly,

F^2  =  F_1^2 + F_2^2 + 2F_1F_2cos\theta

Resultant force, F = \sqrt{F_1^2 + F_2^2 + 2F_1F_2cos\theta}      --------- (i)

As we know, -1\leq cos\theta\leq 1

So, for the minimum value of resultant cos\theta should be equal to -1.

Putting value of cos \theta = -1 in equation (i), we get

F = \sqrt{F_1^2+F_2^2 - 2F_1F_2}

F = \sqrt{(F_1-F_2)^{2} }

F = F_1-F_2

i.e., the minimum value of resultant of two forces is equal to the difference of two forces.

Hence, the resultant of two forces cannot be less than the difference of two forces.

So, option (3) is correct.

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