A ball weighing 0.4 kg is suspended from a smooth vertical wall on a thread

A ball weighing 0.4 kg is suspended from a smooth vertical wall on a thread. Determine the thread tension if it is at a 60-degree angle with the vertical.

Given:

m = 0.4 kg is the mass of a load suspended from a vertical wall on a string;

a = 60 degrees – the angle between the thread and the vertical wall;

g = 10 m / s ^ 2 – acceleration of gravity.

It is required to determine the thread tension T (Newton).

Let us perform the expansion of forces in the vertical direction:

F gravity = T * cos (a);

m * g = T * cos (a);

T = m * g / cos (a) = 0.4 * 10 / 0.5 = 4 / 0.5 = 8 Newtons.

Answer: the thread tension is 8 Newtons.