Solving Static Problems: Get Started with Hints

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The discussion revolves around solving two static problems related to forces and equilibrium. For problem 14, the user is confused about the distribution of mass and how it relates to the tension in the wire supporting a penguin, while also questioning the reasoning behind dividing the mass. In problem 15, the user struggles with understanding the force components in a hinge and the equations of equilibrium necessary for solving the problem. A response clarifies that the hinge force has horizontal and vertical components, and emphasizes using equilibrium equations to find the solution. The conversation highlights the importance of understanding the principles of rotational equilibrium and the relationships between forces and masses.
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I have no idea on how to start these two problems. I haven't done any work, but please give me some hints on how to get started.

The two problems are here
http://viewmorepics.myspace.com/index.cfm?fuseaction=viewImage&friendID=128765607&imageID=1461065539

For problem 14, the anskwer are 1.2kg, .3kg, and .1kg
for 15, the answers are 54.9N,95N,170N.

For problem 14, I know that the right of the wire extends 3 times as far to suppor the penguin. It appears to me that we divide the mass by four each time with the exception of the last time. What is the reasoing behind it?

For 15, I really have no idea. Maybe it's because I don't really understand the question.
 
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vu10758 said:
For 15, I really have no idea. Maybe it's because I don't really understand the question.

Which part don't you understand?

The force in a hinge has two components - it is convenient to set one of them to be horizontal, and the other vertical. You know the mass of the fence, and you know the tension in the cable. Think about the equations of equilibrium and try to solve the problem.
 
Take notice that since the hinges are colineal (imagine a vertical line passing through them), you should take advantage that their vertical component won't have moment if you take moment about either of the hinges.
 
I am not very happy with the answers for 14. For each of the crossbars to be in rotational equilibrium

w_l \frac{l}{3} = w_r \frac{2l}{3}

which after cancellation comes to

m_l = 2m_r

where the l and r subscripts refer to the masses hanging from the left and right end of the crossbar. Therefore for the topmost crossbar this comes to

2.4 = m_2 + m_3 + m_4

or am I missing some basic principle?
 
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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