Question

A body is under the action of two forces 7N and 10N. Find the resultant of the two forces if: 1.) The forces are parallel and act in the same direction 1.) The forces are inclined at an angle of 60° to each other. .2) The forces act at 90° to each other.

Answer 1

The answer is below

Step-by-step explanation:

1) The resultant force of two forces acting in the same direction is equal to the sum of the two magnitudes. Therefore:

Resultant force = 10N + 7N = 17 N

2) The resultant force(R) between two forces A and B at an angle θ is given by:

`R=√(A^2+B^2+2ABcos\theta) \\\\R=√(7^2+10^2+2(7)(10)cos(60^o)) =14.8^o\\\\`

3) The resultant force (R) between perpendicular forces (90°) A and B is given by:

`R=√(A^2+B^2)\\ \\R=√(7^2+10^2)=12.2\ N`