Acceleration in a Pulley System

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SUMMARY

The discussion centers on calculating acceleration in a pulley system using the formula a = ((mB)(g) - (µ)(mA)(g)(cos Ø)) / (mA + mB). A participant initially believes the acceleration is 2 m/s², but another contributor corrects this, demonstrating that the correct acceleration is 3 m/s² by applying the equation: 50 - (0.2 * 100) = 10 * a. The conversation emphasizes the importance of understanding first principles and Newton's Second Law rather than relying solely on memorized formulas.

PREREQUISITES
  • Understanding of Newton's Second Law
  • Familiarity with pulley systems in physics
  • Knowledge of friction coefficients and their application
  • Ability to analyze forces in a system
NEXT STEPS
  • Study the application of Newton's Second Law in various physical scenarios
  • Learn about the dynamics of pulley systems and their equations
  • Explore the concept of friction and its impact on motion
  • Practice solving problems using force analysis techniques
USEFUL FOR

AP Physics students, educators teaching mechanics, and anyone interested in mastering the principles of dynamics and force analysis in physical systems.

LemonBeef
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Hey, I'm doing a review packet for my AP Physics class, and I was just looking for some confirmation that I'm on the right track.

Here's the image of the problem: http://img297.imageshack.us/img297/2681/imgrx6.jpg

Ignore the scribbles. I'm using the formula a = ((mB)(g)- (µ)(mA)(g)(cos Ø)) / (mA + mB), and I'm pretty sure the answer is 2 m/s/s for both parts a and c.

Can anyone confirm/deny? Thanks.
 
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you are missing something...

applied force-friction=mass*accln
50-[.2*100]= 10 *a

>50-20=10*a
>30=10*a
>a=3m/s^2

this is enough for you to proceed in second case...

go ahead...
 
LemonBeef said:
Ignore the scribbles. I'm using the formula a = ((mB)(g)- (µ)(mA)(g)(cos Ø)) / (mA + mB), and I'm pretty sure the answer is 2 m/s/s for both parts a and c.
Since the situations are physically different, the acceleration will be different. Don't use a canned formula* (which applies only in special cases). Instead, learn to apply first principles (force analysis and Newton's 2nd law)--then you can solve any problem tossed at you without having to memorize dozens of limited-use results.

*Does that equation even make sense for case I? There's only one mass.
 

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