A ball 0f 2kg is hung on a string. If a force of .55 N is used to pull it to the right so it makes an angle.?

Question

It makes an angle with the vertical. What is the magnitude of the angle?

Answer 1

The ball has an applied force of .55N to the right, and a weight of (2kg)*(9.81m/s^2) = 19.62N downwards acting on it. This is balanced by the tension in the string for equilibrium. The vertical component of this tension is 19.62N upwards. The horizontal component is .55N to the left. The angle with the vertical is arctan(.55/19.62) = 1.6 degrees.