Question

if a number of forces are acting at a point, the resultant will be inclined at an angle teta with horizontal,such that​

Answer 1

Answer:

a number of forces are acting at a point, their resultant will be inclined at an angle 'θ' with the horizontal, such that

A. tanθ = ΣH/ΣV

B. tanθ = ΣV/ΣH

C. tanθ = ΣV × ΣH

D. tanθ = √(ΣV + ΣH)

Answer: Option B

Answer 2

Answer:

If a number of forces are acting at a point, the resultant will be inclined at an angle theta with horizontal, such that​ $Tan \theta=\frac{\sum(V)}{\sum(H)}$

Explanation:

Polygon law of forces.

• The result of more than two intersecting forces may be found by resolving all the forces horizontally and vertically.
• Tan 0 = p/b which means slope, and if the resultant is inclined at angle 0.
• Then obviously tan 0= (sum of vertical force)/(sum of horizontal force).
• This is very obvious that if we add all races in horizontal then we will come up with a single force. Same for the vertical forces. They both are independent of each other as far as magnitude is concerned. At, the end a single vertical and a single horizontal force will be left.
• So the angle can be calculated and at that angle, there will be a single force of those 2 components horizontal and vertical.