Question

the magnitude of resultant of two forces cannot be greater than the
a. average magnitude of the forces
b. algebraic sum of the magnitude of two forces
c.difference of magnitude of forces
d. magnitude of larger force.​

Answer 1

Answer:

I think difference of magnitude of forces

Answer 2

The magnitude of the resultant of two forces cannot be greater than the algebraic sum of the magnitude of two forces. (option b)

• If we assume two forces A and B, their resultant force is R and the angle between A and B is alpha.
• Formula: Fr (max) = R = $\sqrt{A^{2} +B^{2} + 2\\AB cos\alpha }$
• Therefore for the maximum value, alpha should be 0° as cos 0 = 1 (max.) putting the value of cos 0
• $\sqrt{A^{2} +B^{2} + 2\\AB$ = $\sqrt{(A+ B)^{2}$
• R= A + B
• Hence R cannot be greater than A + B.