Question

Will give medals!!
Can someone break down how to solve for m2? I'm so lost. My teacher wants us to break everything down into net y and net x component equations for each mass. ive enclosed a picture of the problem

Answer 1

@mathstudent55 @mathmale

Answer 2

This is how to organise it



draw it, select a cordinate system, and then write some equations

Answer 3

@Irishboy123 is that for solving m2?

Answer 4

@Nnesha @jabez177

Answer 5

my teacher wants the m1 x and y components, m2 components and m3 components

Answer 6

@SapphireMoon

Answer 7

Sorry, @x3_drummerchick haven't done that unit yet.. (Should have done it two weeks ago but eh)

Answer 8

poop :( thank you anyway

Answer 9

you can solve for \(m_2 \) from the first equation only, which comes from resolving the forces in the horizontal direction

ie

\(- T_1 \cos \alpha + T_2 \cos \beta = 0\)

IOW

\(- m_1 g \cos \alpha + m_2 g \cos \beta = 0\)

Answer 10

You have both angles, alpha and beta, and masses m1 and m3.

The X direction force sum shows you , it is in equilibrium and not accelerating so the net force is zero.
\[\large \sum F _{y}=-m _{1}g*\cos(\alpha)+m _{2}g*\cos(\beta)=0\]
\[m _{1}g*\cos(\alpha) = m _{2}g *\cos(\beta)\]
\[\large m _{2}=\frac{ m _{1}*\cos(\alpha) }{ \cos(\beta) }\]

Answer 11

can anyone help me please.