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

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Homework Help Overview

The problem involves a 3.6-kg particle moving along an elliptical path defined by a specific polar equation. The scenario includes parameters such as the semi-major axis and eccentricity, along with a constant angular speed.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are reviewing the correctness of the equations involved, particularly focusing on potential errors in the provided equations. There are requests for verification of calculations and assumptions related to the force components acting on the particle.

Discussion Status

The discussion includes participants checking each other's work, with some expressing confidence in the accuracy of certain aspects while others identify possible errors. There is an ongoing examination of the equations and their implications for the problem.

Contextual Notes

Participants are operating under the constraints of homework guidelines, which may limit the extent of assistance provided. The specific details of the force components and their calculations are under scrutiny.

Alexanddros81
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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?
 

Attachments

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  • Pytels_Dynamics091.jpg
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Looks good.
 

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