Solve for the tension in T1 and T2

[lilgen]

Homework Statement

A friend gave this to me and i have never taken physics could use some help on how to solve this.

Homework Equations

Have no clue

The Attempt at a Solution

Have researched and came up with this probably not correct
T1sin42+T2sin18=0
T1cos42-T2cos18=0

 

[gneill]

You need to incorporate the force due to the hanging weight into the second equation.

EDIT: Sorry, the *first* equation! The vertical components.

 

[SammyS]

Homework Statement

A friend gave this to me and i have never taken physics could use some help on how to solve this.

Homework Equations

Have no clue

The Attempt at a Solution

Have researched and came up with this probably not correct
T1sin42+T2sin18=0
T1cos42-T2cos18=0

The first equation should be: T₁sin42 + T₂sin18 - 90 = 0.

Solve the second equation for T₁ (in terms of T₂). Plug that into the corrected first equation, and solve for T₂. Then use that to find T₁.

 

[lilgen]

T1sin42+T2sin18-90=0
T1cos42-T2cos18=0

T1=T2cos18/cos42

T2cos18/cos42*sin12+sin18-90=0

T2=89.23
T1=157.92

Is this the way you were talking about doing it? I am wanting to learn it thank you for your help.

 

[SammyS]

T1sin42+T2sin18-90=0
T1cos42-T2cos18=0

T1=T2cos18/cos42

T2cos18/cos42*sin12+sin18-90=0

T2=89.23
T1=157.92

Is this the way you were talking about doing it? I am wanting to learn it thank you for your help.

T2(cos18/cos42*sin42+sin18)-90=0

Sorry about not following up.

I get T₂=65.93 .