Question

Ø = 23° and m = 108N. What is the tension T1 in Newton?

Answer 1

For this problem, we are going to need to balance forces out.

The sum of the forces in the y-direction and the sum of the forces in the x direction need to equal 0. The reason is, when we look at the diagram, there is no net force, which means the force of the object is 0.

Lets look at the forces in the y-direction

$\Sigma F_y=F_g-F_1sin\theta$

This equation is given when we balance the forces in the y-direction

Fg = mass * gravity = 108 N

If we plug this into the formula

$\begin{gathered} \Sigma F_y=108-F_1sin\theta=0 \\ 108=F_1sin\theta \\ F_1=\frac{108}{sin23} \end{gathered}$

When we solve for F1, we get 276.4 Newtons for tension in T1.