How Does Tension and Moment of Inertia Affect an Atwood Machine?

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SUMMARY

The discussion focuses on the dynamics of an Atwood machine involving two blocks with masses M1 = 490 g and M2 = 290 g, and a frictionless pulley with a radius of 5.1 cm. The heavier block descends 65 cm in 1.15 seconds, leading to the calculation of the tension T1 and the pulley's moment of inertia. The acceleration of the lighter block is determined to be 9.83×10-1 m/s2 and the angular acceleration of the pulley is 1.93×101 rad/s2. The user seeks assistance in calculating the tension and moment of inertia based on these parameters.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with rotational dynamics and torque
  • Knowledge of kinematic equations for uniformly accelerated motion
  • Basic principles of moment of inertia
NEXT STEPS
  • Calculate the tension T1 using the formula T = M1g - M1a
  • Determine the moment of inertia of the pulley using I = τ/α
  • Explore the relationship between linear and angular acceleration in rotational systems
  • Investigate the effects of friction on the performance of Atwood machines
USEFUL FOR

Physics students, mechanical engineers, and anyone studying dynamics and rotational motion in systems like Atwood machines.

hatingphysics
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In an Atwood machine, one block has a mass of M1 = 490 g and the other has a mass of M2 = 290 g. The frictionless pulley has a radius of 5.1 cm. When released from rest, the heavier block moves down 65 cm in 1.15 s (no slippage).

What is the tension T1?

Find the pulley's moment of inertia.

I found the magnitude of the acceleration of the lighter block (9.83×10-1 m/s^2 ) and the magnitude of the angular acceleration of the pulley (1.93×101 rad/s^2 ) but why can't I find the other 2 answers...HELP!
 

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Tension is a perpendicular torque on the pulley
 

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