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 resultant force when two forces of equal magnitude \(F\) are acting at an angle \(\theta\) is given by: \[ R = \sqrt{F^2 + F^2 + 2F^2 \cos \theta} \] Substituting the values \(F = 300 \, \text{N}\) and \(\theta = 60^\circ\): \[ R = \sqrt{300^2 + 300^2 + 2 \times 300^2 \times \cos 60^\circ} = 173.2 \, \text{N} \] Thus, the resultant force is 173.2 Newton.