Question

Two forces of magnitude 10 N and 20 N act on a body in directions
making angles 30° and 60° respectively with x-axis. What is the
resultant force?

[answer with solution] ​

Answer 1

Explanation:

Two forces of magnitude 10N and 20N act on a body in a direction making angle 30 and 60 degrees respectively with the x-axis. What is the resultant force?

This cannot be answered with the given information. Are the y components of both forces positive or negative, or one of each. If the latter, which one is positive. Thus there are four answers. I presume you mean that the angles are measured from the positive direction of the x axis, otherwise there will be eight answers.

The x components of the forces are 103√2N and 10N . The y components are ±5 and ±203√2N .

So the x component of the resultant is (53–√+10)N , and the y component is (±5+±103–√)N . Decide on the signs and you will have an answer.

sad .......☹