Angular velocity and acceleration

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SUMMARY

The discussion focuses on calculating angular velocity and angular acceleration for a block moving with a constant velocity, denoted as v. The user seeks assistance in deriving the distance x as a function of angle Q, and subsequently determining angular velocity and angular acceleration through differentiation. The relationship established is x = a/tag(Q), where tag(Q) represents the tangent of angle Q. The user inquires whether taking the first and second derivatives of x will yield the required angular velocity and acceleration.

PREREQUISITES
  • Understanding of trigonometric functions, specifically tangent.
  • Knowledge of calculus, particularly differentiation.
  • Familiarity with angular motion concepts.
  • Basic physics principles related to velocity and acceleration.
NEXT STEPS
  • Study the differentiation of trigonometric functions in calculus.
  • Learn about angular motion equations in classical mechanics.
  • Explore the relationship between linear and angular velocity.
  • Investigate the concept of angular acceleration and its derivation.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and angular motion, as well as educators seeking to clarify concepts of velocity and acceleration in rotational dynamics.

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Homework Statement



The block moves to the left with a constant velocity v.

a)determine the distance x as a function of Q .
b)determine the Angular velocity as a function of Q
c)determine the Angular acceleration as a function of Qhttp://img98.imageshack.us/img98/3691/16293179.jpg

Homework Equations


The Attempt at a Solution

Here is how i find the distance x. tagQ=a/x -> x=a/tagQ .
Can anybody help me a little bit how to find b). Is it enough just to find the 1-st and 2-nd derivative of x in order to find velocity and acceleration ?
 
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Can anyone give me a little hint ?
 

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