Question

Two equal forces of 300 Newton each acting at an angle of 60°, the resultant will be

• A. 155.3 Newton
• B. 173.2 Newton
• C. None of these
• D. 162.4 Newton

Hint:

To find the resultant of two equal forces acting at an angle, use the formula \(R = \sqrt{2F^2(1 + \cos \theta)}\).

Answer 1

The Correct Option is B

The magnitude of the resultant force from two equal forces, \(F\), acting at an angle \(\theta\) can be calculated as: \[\nR = \sqrt{F^2 + F^2 + 2F^2 \cos \theta}\n\] Given \(F = 300 \, \text{N}\) and \(\theta = 60^\circ\), the calculation is: \[\nR = \sqrt{300^2 + 300^2 + 2 \times 300^2 \times \cos 60^\circ} = 173.2 \, \text{N}\n\] The resultant force is therefore 173.2 Newton.