Formula for Calculating Acceleration of a Block on a Pulley: Homework Help"

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SUMMARY

The discussion focuses on deriving a formula to calculate the acceleration of a block attached to a pulley system. The block is released from rest and falls a distance D in time t. Key equations mentioned include kinematic equations such as v1 = v0 + at and the use of conservation of energy principles. The correct approach involves using the equation D = v0*t + 1/2*a*t^2, where D is the distance fallen, to express acceleration a in terms of known quantities.

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  • Understanding of kinematic equations
  • Familiarity with concepts of acceleration and free fall
  • Basic knowledge of pulley systems
  • Concepts of conservation of energy
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  • Study kinematic equations in detail, focusing on their applications in physics
  • Learn about the dynamics of pulley systems and their effects on motion
  • Explore the principles of conservation of energy in mechanical systems
  • Practice solving problems involving acceleration and free fall
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for effective methods to teach concepts related to motion and acceleration in pulley systems.

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Homework Statement


A pulley is used in an experiment. A small block is attached to a string, the other end of which is attached to a pulley and wrapped around it several times. The block is released from rest and takes time t to fall the distance D to the floor. Using quantities given in the problem, express a formula that could be used to calculate the acceleration of the block.

Homework Equations


v1=v0 + at? v1= v0 + gt?

The Attempt at a Solution


i tried to put that into terms of a
a=(v0+t)/v1 but i know that i am way off because there is nothing about distance in there and just seems wrong. i am also confused, is this a freely falling object or not because the rope is wound around the pulley.
 
Last edited:
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Maybe you want to consider X1=Xo+vt+1/2at^2 where X1 = D. Since it is released from a certain point, you should know what the initial velocity is.Alternatively you can consider conservation of energy. :biggrin:
 

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