Question

What is the net force on the mass when it is in the north position, expressed in terms of the sum of all forces acting on the mass? use "g" for the gravitational acceleration, "a" for the angle α , t for the tension on the string, and "o" for the angular velocity

Answer 1

The net force on a stationary mass is zero, where the tension in the string equals the weight of the mass, as described by Newton's second law stating that Fnet = t - w = 0.

Step-by-step explanation:

When considering the net force on a mass in the north position, we must account for all the forces acting on the mass. If the mass is stationary, its acceleration will be zero. By using Newton's second law, which states that Fnet = ma where 'Fnet' is the net force and 'ma' is the mass times the acceleration, we can deduce that the net force will be zero when the mass is not accelerating. In such a case, the tension in the string (t) must balance out the weight of the mass. The weight of the mass (w) can be calculated as mg, where 'm' is the mass and 'g' is the gravitational acceleration. Hence, if no other forces are acting and the mass is at rest, the expression for net force is given by Fnet = t - w = 0.