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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.

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raphealnwobi

Answer:

The answer is below

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:

[tex]R=\sqrt{A^2+B^2+2ABcos\theta} \\\\R=\sqrt{7^2+10^2+2(7)(10)cos(60^o)} =14.8^o\\\\[/tex]

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

[tex]R=\sqrt{A^2+B^2}\\ \\R=\sqrt{7^2+10^2}=12.2\ N[/tex]

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