Static Equilibrium of Wheel-and-Axle System

shiby4444
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Homework Statement


Consider the wheel-and-axle system shown
below.
a
b
m1 m2
Which of the following expresses the con-
dition required for the system to be in static
equilibrium?
1. b2m1 = a2m2
2. a2m1 = b2m2
3. am2 = bm1
4. am1 = bm2
5. m1 = m2
003 10.0 points
Nobody at the playground wants to play with
an obnoxious boy, so he fashions a seesaw as
shown so he can play by himself.
Explain how this is done.
1. The angular velocity of the boy is can-
celled with that of the board.
2. The weight of the boy is balanced by the
weight of the board.
3. The fulcrum is very far from the boy.
4. The weight of the boy is balanced with an
unknown heavy metal.
004 (part 1 of 3) 10.0 points
A solid sphere of radius R and mass M is
held against a wall by a string being pulled at
an angle θ . f is themagnitude of the frictional
force and W = M g .

To what does the torque equationX
i
~τi = 0
about point O (the center of the sphere) lead?
1. F cos2 θ = f
2. F +W =


Homework Equations





The Attempt at a Solution

 
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uhh.. you may want to clarify this post... What exactly are you asking?

--save the copy and paste, retype clearly what the problem is, and WHICH of the problems would you like help with: #002 or #003 or #004? if you can, include the diagram of the corresponding problem.

and lastly, perhaps you should re-evaluate which forum this question belongs in... I'm not sure that this is advanced physics, it sound like kinematics or dynamics. Take a look at the other questions in this forum, are you familiar with the subject matter...?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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