Conservation of momentum and velocity question

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SUMMARY

The discussion focuses on a physics problem involving the conservation of momentum and the velocity of a stone box supported by two steel cylinders under a constant force. The user calculates the acceleration of the box using F=ma, determining it to be 1/10 in/sec². The conversation emphasizes the importance of relating linear velocity (v) to angular velocity (ω) and suggests using the total work equation, W = -0.5mv² + 0.5Iω², to solve for the velocity of the stone box when cylinder A reaches the left corner.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Familiarity with the concepts of linear and angular motion
  • Knowledge of the work-energy principle
  • Basic grasp of rotational dynamics and moment of inertia (I)
NEXT STEPS
  • Study the relationship between linear velocity and angular velocity in rotational systems
  • Learn about the work-energy theorem in detail
  • Explore the concept of moment of inertia for different shapes
  • Investigate real-world applications of conservation of momentum in mechanical systems
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of momentum and energy transfer in systems involving rotational motion.

affordable
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Homework Statement




The 1000N stone box is supported by
two steel cylinders A and B at 100N each. The system is at rest
in the position shown when the constant
force P = 100N is applied.

Determine the velocity of the stone box C when cylinder A
has reached the left corner of the box.

http://img801.imageshack.us/i/unledom.jpg/

Homework Equations





The Attempt at a Solution



Ugh. It logged me out, so my explanation will be pretty weak.

What I did was use the circumference of a circle as 20/(30pi) as the distance needed to get the cylinder to the end. I used F=ma to find the acceleration of the box in the x direction is 1/10 in/sec^2.

From here, I'm unsure. I assume that this is a momentum problem that transfers energy to the cylinders, but I'm not for sure which formula to use.

I'm thinking about using total work-.5mv^2+.5*I*(omega)^2.

Would the acceleration in the x direction be equal for the cylinders and the box?
 
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hi affordable! :smile:

(have an omega: ω and try using the X2 icon just above the Reply box :wink:)
affordable said:
Would the acceleration in the x direction be equal for the cylinders and the box?

nooo :redface:

what are the speeds of the top middle and bottom of the cylinder? :wink:
I'm thinking about using total work-.5mv^2+.5*I*(omega)^2.

that's the one!

now plug in a formula relating v and ω, and solve :smile:
 

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