Analyzing a Concurrent Force System with Looping Cords and Pulleys

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The discussion revolves around analyzing a concurrent force system involving two cylinders, each weighing 400 lb, connected by cords over frictionless pulleys to weights of 200 lb and 400 lb. Participants emphasize the importance of analyzing the forces acting on the cylinders and determining the net force, with suggestions to create a vector diagram to illustrate the tension in the cords. There is a clarification on whether the problem is static, indicating that the masses are not accelerating. One participant expresses initial confusion but later claims to have understood the solution. The conversation highlights the need for clear problem-solving steps in physics.
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Cord are looped around a small spacer separating two cylinders each weighing 400 lb and pass, as shown in the figure, over frictionless pulleys to weights of 200 lb and 400 lb. Determine the angles theta and the normal pressure N between the cylinders and the smooth horizontal surface.



I can't figure out how to solve it.

Thanks in advance!
 

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What have you tried?

Analyze the forces acting on the cylinders. What must the net force be?
 
To elaborate on Doc Al's comment, we expect students to show work when seeking assistance.

Simply write a vector diagram which shows indicates the tension in the cords acting on the axis of the two cylinders each of 400 lbs. Hint: each mass experiences a downward force related to weight.

It is not stated, but is this a statics problem, i.e. none of the masses are accelerating?
 
sorry, i didnt know... i think its obvious that I am just new here and I am sorry if i haven't read the entire terms and conditions whatsoever (i don't have time to read it... got lots of exams)

anyway, i already know how to solve it

i was confused at first but it was very easy.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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