Question

Physics 12 question!


A mass suspended by a string is 24 degrees from vertical by a force of 13.8 N as shown. find the mass.

Answer 1

@Michele_Laino , I got to go, but when I come back, I will read your response. Thanks

Answer 2

here we can apply the first Newton's law, so we can write the subsequent vector equation:
\[\huge {{\mathbf{T}}_S} + {\mathbf{W}} + {\mathbf{F}} = {\mathbf{0}}\]
where \(\mathbf{W}\) is the weight.
Such vector equation is equivalent to these subsequent scalar equations:
\[\Large \left\{ \begin{gathered}
{T_S}\cos \theta + F\cos \left( {90 - \theta } \right) - W = 0 \hfill \\
\\
{T_S}\cos \left( {90 + \theta } \right) + F\cos \theta = 0 \hfill \\
\end{gathered} \right.\]
please solve that algebraic system
Furthermore, we have \(W=mg\), and \(\theta=24\)

Answer 3

\[m =( FTsy + Fy ) \] divide by g

Answer 4

m = 3.5 kg

Answer 5

I also figured a way to do this. Is it correct?