Mark the correct alternative in each of the following: Forces act along OA and OB. If their resultant passes through C on AB, then

Question

Philoid · Accepted Answer

Draw ON perpendicular to the line AB.

Let be the unit vector along ON,

The resultant force --------- (i)

The angles between and the forces , , are CON, AON & BON respectively,

R = 8

---------- (i)

Multiplying the equation (i) by 3,

----------(ii)

Also, ----------(iv)

Multiplying the equation (iv) by 5,

----------(v)

Adding equation (iv) & (v) respectively,

3AC = 5CB

Option(C)is the answer.