Asked by Caitlyn
If someone could help me get started or help me with the first few steps I could probably finish.
With Mass A = .500 kg
And
Mass B = .125 kg
Find the angle so that the system will be in equilibrium.
With Mass A = .500 kg
And
Mass B = .125 kg
Find the angle so that the system will be in equilibrium.
Answers
Answered by
MathMate
We don't have your diagram, so we don't know how the masses are connected.
Please describe your figure.
Please describe your figure.
Answered by
Caitlyn
Oh 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?
Answered by
MathMate
The 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?
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?
Answered by
Caitlyn
Yea I got it! Thanks a lot!
Answered by
MathMate
You're welcome!
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.