7. A single clothesline is attached to two poles 10.0 m apart. A pulley holding a mass
F
g 294 N rolls to the middle of the line and comes to rest there. The middle of
the line is 0.40 m below each end. Determine the magnitude of the tension in the
clothesline.
To solve this problem, we can use the principle of equilibrium. At the point where the mass comes to rest, the forces acting on the pulley are the tension in the clothesline and the weight of the mass.
Let's denote the tension in the clothesline as T and the weight of the mass as mg. Since the mass comes to rest, the net force acting on it is zero. Therefore, the tension in the clothesline is equal in magnitude to the weight of the mass.
Given that the weight of the mass is 294 N, we can determine that the tension in the clothesline is also 294 N.
Therefore, the magnitude of the tension in the clothesline is 294 N.