Did you know?
Did you know that when two forces are acting on an object, their combined effect can be determined by calculating their results? In the given scenario, where a body is under the actions of two forces, 7N and 10N, the results of these forces can be determined based on the angles at which they are inclined to each other.
a) If the two forces are inclined at an angle of 60 degrees to each other, the resultant of these forces can be calculated using vector addition. The magnitude of the resultant force can be found using the formula R = √(F1^2 + F2^2 + 2F1F2cosθ), where F1 and F2 are the magnitudes of the forces and θ is the angle between them. After calculation, the resultant force is found to be approximately 5.2N.
b) When the two forces are inclined at an angle of 160 degrees, the resultant force can again be calculated using vector addition. In this case, the magnitude of the resultant force is found to be approximately 17.6N.
c) If the two forces act at 90 degrees to each other, the resultant force can be calculated using the Pythagorean theorem. By applying the theorem, the magnitude of the resultant force is found to be approximately 14.1N.
Understanding how different angles between forces affect their overall impact can provide valuable insights into the physics of motion and the interaction of forces.
