Question

if two forces of magnitude 2p and 4p on a body then their maximum resultant is ​

Answer 1

Explanation:

the answer is :

8p..........

Answer 2

The maximum resultant is 6p

Step-by-step Explanation

Given:

magnitude of two forces 2p and 4p

To Find = maximum resultant of given forces

Formula to be used here

|R| = √($P^{2} + Q^{2} + 2PQCos$Ф) ------ (1)

here,

P = 2p and Q=4p

Put the respective value of P and Q in equation (1)

|R| = √[$(2p)^{2} + (4p)^{2} +$ 2× 2p ×4p × cosФ]

Here, cosФ = 1 as the maximum value of cosФ is 1

|R| = √($(2p)^{2} + (4p)^{2}$ + 2 ×2p ×4p)

Therefore, the above equation take the form of

$(A+B)^{2} = A^{2} + B^{2} +2AB$

|R| = √$(2p +4p)^{2}$

|R| = √$(6p)^{2}$

|R| = 6p

Hence, the maximum resultant is 6p