Question

Two forces of 20 N and 10 N are making an angle of 120 degree with eachother. find a single pull that would (a) replace the given forces system (b) balance the given forces system.

Answer 1

(a) The resultant force is 26.46 N

(b) upward forces = downward forces = 30 N

Step-by-step explanation:

Given;

two forces, 20 N and 10 N

angle between the forces, θ = 120°

(a)

The resultant force is given by cosine rule;

R² = 20² + 10² - 2(20 x 10)Cos120

R² = 500 - (-200)

R² = 500 + 200

R² = 700

R = √700

R = 26.46 N

(b)

sum of the upward forces = sum of the downward forces

`F_u_p = F_d_o_w_n\\\\F_u_p = 20 + 10\\\\F_u_p =30 \ N`

downward forces = 30 N