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December 22, 2014

December 22, 2014

Posted by **Caitlyn** on Wednesday, June 20, 2012 at 11:52am.

With Mass A = .500 kg

And

Mass B = .125 kg

Find the angle so that the system will be in equilibrium.

- Physics -
**MathMate**, Wednesday, June 20, 2012 at 2:01pmWe don't have your diagram, so we don't know how the masses are connected.

Please describe your figure.

- Physics -
**Caitlyn**, Wednesday, June 20, 2012 at 2:20pmOh sorry I completely forgot to add that part in. It's a right triangle and mass A is on the incline (hypotenuse) portion and is attached to a pulley and on the other end is mass B hanging down the side that would be the height of the triangle (opposite of the angle). Is that clear enough?

- Physics -
**MathMate**, Wednesday, June 20, 2012 at 6:57pmThe tension in the string will be equal to T, which connects both masses A and B.

For mass A, the force down the incline is Ma*g*sin(θ) which equals T.

For mass B, the force due to gravity is Mb*g which also equals T.

Thus, equating the two values of T, we get:

Ma*g*sin(θ)=Mb*g

sin(θ)=Mb*g/(Ma*g)

=Mb/Ma

=0.125/0.5

=1/4

Can you take it from here?

- Physics -
**Caitlyn**, Wednesday, June 20, 2012 at 7:54pmYea I got it! Thanks a lot!

- Physics :) -
**MathMate**, Wednesday, June 20, 2012 at 8:35pmYou're welcome!

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