Home
Class 12
PHYSICS
Two equal forces acting at 60^(@) to eac...

Two equal forces acting at `60^(@)` to each other. Find the forces if resultant force is 300 N.

A

155.3 N

B

173.2 N

C

162.4 N

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `R = 300 N, F_(1) = F_(2) = F` and `alpha = 60^(@)`
`rArr R = sqrt(F_(1)^(2) + F_(2)^(2) + 2F_(1)F_(2) cos alpha)`
`rArr 300 = sqrt(F^(2) + F^(2) + 2F^(2) cos 60^(@))`
`rArr 300 = sqrt(2F^(2) + 2F^(2) xx (1)/(2)) = sqrt(3 F^(2))`
`F = (300)/(sqrt(3)) = 100 sqrt(3) = 100 xx 1.732 = 173.2 N`
Promotional Banner

Similar Questions

Explore conceptually related problems

If the resultant of two equal forces inclined at 60^(@) to each other is sqrt(3)Q , will be their resultant if they are inclied at 120^(@) to each other?

Two forces of magnitudes 3N and 4 N act together on an object making an angle 60^(@) with each other. Find the resultant force acting on the object.

Two equal forces are acting at a point with an angle 60^(@) between them. If the resultant force is equal to 4sqrt(3)N , the magnitude of each force is

A body is acted upon by two forces of manitudes F_(1)=sqrt2 Nand F_(2)=3 N which are inclined at 45^(@) to each other. There magnitude of resultant force acting on the body is

Two equal forces are acting at a point with an angle of 60^(@) between them. If the resultant force is equal to 40sqrt(3)N , The magnitude of each force is :-

Two equal forces are acting at a point with an angle of 60° between them. If the resultant force is equal to 30sqrt(3) N, the magnitude of each force is

Two equal forces are acting at a point with an angle of 60^(@) between them. If the resultant force is equal to 40sqrt3 N, the magnitude of each force is

Two forces of 5N and 7N act on a aprticle with an angle of 60^(@) between them. Find the resultant force.

The resultant of two equal forces acting at right angles to each other is 1414 dyne. Find the magnitude of either force.