Static Equilibrium of Wheel-and-Axle System

In summary, the conversation discusses various scenarios and conditions for a wheel-and-axle system to be in static equilibrium, as well as how a boy can play alone on a seesaw by balancing different forces and weights. The last part of the conversation discusses a torque equation and its application to finding the relationship between various forces. This question may be better suited for a different forum, such as kinematics or dynamics.
  • #1
shiby4444
4
0

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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  • #2


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...?
 

FAQ: Static Equilibrium of Wheel-and-Axle System

What is static equilibrium of a wheel-and-axle system?

Static equilibrium is a state where all the forces acting on an object are balanced, resulting in no net acceleration or movement. In a wheel-and-axle system, this means that the wheel and axle are not rotating or moving due to the forces acting on them.

What are the components of a wheel-and-axle system?

A wheel-and-axle system consists of a circular wheel attached to a central axle. The wheel can rotate freely around the axle, which remains stationary.

What forces act on a wheel-and-axle system?

The two main forces acting on a wheel-and-axle system are the input force, which is applied to the wheel, and the output force, which is the resistance or load that the axle must overcome. There may also be additional forces such as friction or weight.

How is torque related to static equilibrium in a wheel-and-axle system?

Torque is the rotational force that causes an object to rotate around an axis. In a wheel-and-axle system, the torque applied to the wheel must be equal to the torque applied to the axle in order to maintain static equilibrium.

What factors can affect the static equilibrium of a wheel-and-axle system?

The static equilibrium of a wheel-and-axle system can be affected by factors such as the size and weight of the wheel and axle, the placement and direction of the input and output forces, and the presence of any external forces like friction. Any changes to these factors can disrupt the balance and result in a change in the system's equilibrium.

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