Pulling mass with motor through pulley (with mass)

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SUMMARY

The discussion focuses on solving a physics problem involving torque and mass using a pulley system. Key variables include a mass of 1060 kg, torque (τ) equations, and an inertia (I) of 75.5 kg*m². The final acceleration (a) calculated is approximately 0.44157 m/s². The solution emphasizes the importance of free-body diagrams (FBDs) to analyze forces acting on the system.

PREREQUISITES
  • Understanding of torque equations: τ = I*α and τ = r*F
  • Knowledge of free-body diagrams (FBDs) in mechanics
  • Familiarity with Newton's second law of motion
  • Basic skills in algebra for manipulating equations
NEXT STEPS
  • Study advanced applications of torque in rotational dynamics
  • Learn about the principles of free-body diagram analysis
  • Explore the relationship between mass, force, and acceleration in different systems
  • Investigate real-world applications of pulleys in mechanical engineering
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of torque and pulley systems.

Esoremada
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Homework Statement



http://puu.sh/4PDPV.png

Homework Equations



τ = I*α
τ = r*F

The Attempt at a Solution



EDIT2: Nevermind, manipulated the torque equations wrong, got it now

EDIT: Tried again and ended up with an actual answer, but still got it wrong :/
This is the FBD I used http://puu.sh/4PH7l.png

m = 1060 kg
Ft2 = 10900
I = 75.5 kg*m^2
r = 0.757 m1060a = Ft1 - 1060*9.81

τ = I*r*a
τ = r*F
F = 10900 - Ft1

I*r*a = r*F
I*a = F

75.5*a = 10900 - Ft1

1060a = Ft1 - 1060*9.81
Ft1 = 1060a + 1060*9.81

75.5a = 10900 - Ft1
75.5a = 10900 - (1060a + 1060*9.81)
75.5a = 10900 - 1060a - 1060*9.81
1060a + 75.5a = 10900 - 1060*9.81
a = (10900 - 1060*9.81) / (1060 + 75.5)
= 0.44157
 
Last edited by a moderator:
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You need two free-body diagrams.
You are given the forces on the pulley and the mass
- just sketch out the fdb's and look at what forces are present.
 

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