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Mechanical Engineering · Q1

Engineering Mechanics

Engineering and GATE · Mechanical Engineering · question 1

Q1

The resultant of two equal forces P making an angle , is given by

The resultant of two equal forces P making an angle is given by
A.
B.
Answer
C.
D.

Answer: Option B

Solution

Answer: Option B
Solution:
To find the resultant of two equal forces P making an angle θ, we use the formula for the resultant of two forces:

Resultant =

Here’s the derivation:
- The two forces P are equal in magnitude and form an angle θ with each other.
- The magnitude of the resultant force is given by     where is the angle between one of the forces and the resultant.

The other options involve sine, tangent, or cotangent functions, which do not correctly represent the magnitude of the resultant in this context.