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BlueSkyy
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Box hung over pulley at an angle??
A pulley is hung from the ceiling by a rope. A block of mass M is suspended by another rope that passes over the pulley and is attached to the wall (the figure below ). The rope fastened to the wall makes a right angle with the wall. Neglect the masses of the rope and the pulley. Find (a) the tension in the rope from which the pulley hangs and (b) the angle that the rope makes with the ceiling.
https://chip.physics.purdue.edu/protected/GiambattistaMimg/chapter-04/fig-038.gif
Weight = Mg
a^2 + b^2 = c^2
SOH CAH TOA (for finding the angle)
For the angle, I'm going to guess 45 degrees, just because it seems like it would be correct (it would be a "natural" angle for a system like this to be at.)
As for the tension, i know that the tension in the *rope attached to the box* is the same all the way through (=Mg) and that the tension in the *rope attached to the pulley* must be related to this somehow, probably using SOH CAH TOA to find the angle or the length of the sides of the triangle that is formed...
It's a multiple choice question, the choices being:
https://chip.physics.purdue.edu/protected/GiambattistaMimg/chapter-04/eqn_2002.gif
https://chip.physics.purdue.edu/protected/GiambattistaMimg/chapter-04/eqn_2001.gif
https://chip.physics.purdue.edu/protected/GiambattistaMimg/chapter-04/eqn_2003.gif
Homework Statement
A pulley is hung from the ceiling by a rope. A block of mass M is suspended by another rope that passes over the pulley and is attached to the wall (the figure below ). The rope fastened to the wall makes a right angle with the wall. Neglect the masses of the rope and the pulley. Find (a) the tension in the rope from which the pulley hangs and (b) the angle that the rope makes with the ceiling.
https://chip.physics.purdue.edu/protected/GiambattistaMimg/chapter-04/fig-038.gif
Homework Equations
Weight = Mg
a^2 + b^2 = c^2
SOH CAH TOA (for finding the angle)
The Attempt at a Solution
For the angle, I'm going to guess 45 degrees, just because it seems like it would be correct (it would be a "natural" angle for a system like this to be at.)
As for the tension, i know that the tension in the *rope attached to the box* is the same all the way through (=Mg) and that the tension in the *rope attached to the pulley* must be related to this somehow, probably using SOH CAH TOA to find the angle or the length of the sides of the triangle that is formed...
It's a multiple choice question, the choices being:
https://chip.physics.purdue.edu/protected/GiambattistaMimg/chapter-04/eqn_2002.gif
https://chip.physics.purdue.edu/protected/GiambattistaMimg/chapter-04/eqn_2001.gif
https://chip.physics.purdue.edu/protected/GiambattistaMimg/chapter-04/eqn_2003.gif