High School

If the mass [tex]$m$[/tex] of the wrecking ball is [tex]$3700 \, \text{kg}$[/tex], what is the tension [tex]$T_b$[/tex] in the cable that makes an angle of [tex]$40^\circ$[/tex] with the vertical?

Answer :

Final answer:

To find the tension in the cable, resolve the weight of the object into its components and sum up the vertical forces.

Explanation:

To find the tension in the cable, we can use the concept of equilibrium.

First, we need to resolve the weight of the wrecking ball into its components. The vertical component is given by m * g * cos(angle), and the horizontal component is given by m * g * sin(angle).

The tension in the cable can be found by summing up the vertical forces:

T_b = m * g * cos(angle)