Solving for Mass M1 in Physics Problem Involving Pulley

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SUMMARY

The discussion focuses on solving for mass M1 in a physics problem involving a pulley system with two masses, M1 and M2. Given that M2 has a mass of 7.00 kg and accelerates downwards at 2.43 m/s², along with an angle theta of 15.0° and a coefficient of kinetic friction (μk) of 0.560, the objective is to derive the equation to calculate M1. Participants emphasize the importance of analyzing the forces acting on both masses and establishing relationships between their equations of motion.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Knowledge of frictional forces and coefficients
  • Ability to resolve forces into components
  • Familiarity with basic kinematics and acceleration concepts
NEXT STEPS
  • Study the application of Newton's Second Law in pulley systems
  • Learn how to resolve forces into x and y components
  • Research the effects of friction on motion in inclined planes
  • Explore examples of similar physics problems involving multiple masses
USEFUL FOR

Students studying physics, particularly those tackling mechanics problems involving pulleys and forces, as well as educators looking for examples to illustrate these concepts.

lanzjohn
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Homework Statement


M1 and M2 are two masses connected as shown. The pulley is light and frictionless. Find the mass M1, given that M2 (7.00kg) accelerates downwards at 2.43m/s2, that the angle theta is 15.0o, and that muk is 0.560.

prob75_fricpullplane.gif


Homework Equations



(Read below)

The Attempt at a Solution



I was sick the day we went over this and the notes I got do not tell me very much. That is why I have no attempts at this problem. Basically what I need is some guidance on where to start and how to find the equation needed for this problem. I am lost with where to start.

Thank you all for your help,
John
 
Physics news on Phys.org
What is the sum of the forces in the y direction for M2? What are the sums (in x and y) for M1? Can you relate those equations together?
 

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