Calculating Angular and Linear Acceleration in a Vertical Plane

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SUMMARY

This discussion focuses on calculating angular and linear acceleration for a mass swinging in a vertical plane on a string of length r. The key points include determining angular velocity at four specific positions: A (top), B (90 degrees down), C (180 degrees), and D (270 degrees). Additionally, the discussion emphasizes the need to calculate angular acceleration and linear acceleration, including their vector components, at each of these positions. The analysis requires a solid understanding of circular motion principles and energy conservation.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Familiarity with angular velocity and angular acceleration concepts
  • Knowledge of vector components in physics
  • Basic principles of energy conservation in mechanical systems
NEXT STEPS
  • Study the equations of motion for circular dynamics
  • Learn how to apply conservation of energy in circular motion scenarios
  • Explore vector decomposition techniques for acceleration analysis
  • Investigate the relationship between angular and linear quantities in rotational systems
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Physics students, mechanical engineers, and anyone interested in the dynamics of rotational motion and energy conservation principles.

dvvz2006
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Can someone please help me with this problem:

You are swinging a mass at the ned of a string contained in a vertical plane. The length of the string is r. The mass moves just enough to complete hte circle. The motion is a constant total energy and we take the sense of rotation as positive.
a) Find the angular velocity at the points where A is right at the top at the tip of the circle, B is 90 degress down, C is 90 degrees further, and D 90 degress further than that.
b) Find the angular acceleration at these four points and include the sign with the answers.
c) Calculate hte magnitude of the linear acceleration of the mass at each of the four points. Note the mutually perpendicular vector components.
 
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Someone may be willing to help -- provided you showed some of your own work first.
 

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