The path of the 3.6-kg particle P is an ellipse

AI Thread Summary
The discussion revolves around calculating the polar components of the force acting on a 3.6-kg particle moving in an elliptical path defined by the equation R = R_0 / (1 + e cos θ), with R_0 set at 0.5m and eccentricity e at 2/3. The angular speed of the line OP is constant at 20 rad/s. Participants review the calculations, noting an error in equation (6) that needs correction. Overall, the conversation focuses on verifying the accuracy of the equations used in the problem-solving process. Accurate calculations are essential for determining the forces acting on the particle at point A.
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Homework Statement


13.71 The path of the 3.6-kg particle P is an ellipse given by ##R = \frac {R_0} {(1+ecosθ)}##.
where R_0 = 0.5m and e=2/3. Assuming that the angular speed of line OP is constant
at 20 rad/s, calculate the polar components of the force that acts on the particle when it is at A.

Fig P13_71.jpg


Homework Equations

The Attempt at a Solution



Pytels_Dynamics085.jpg


Pytels_Dynamics086.jpg


Can you check this?
 

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Everything looks good except equation (6), which has an error.
 
Pytels_Dynamics090.jpg

Pytels_Dynamics091.jpg


Can you check this?
 

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Looks good.
 
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