Rotational Dynamics and Work-Energy Verification

Procedure

Experimental Procedure

1. Setup

  1. Secure disc on low-friction rotational axis
  2. Attach string with suspended mass
  3. Set up sensors for ω, α, and time measurements

2. Conducting the Experiment

  1. Hold mass at fixed height with taut string
  2. Release mass without initial push
  3. Record angular velocity at time intervals
  4. Measure total rotations

3. Data Analysis

  1. Calculate α from ω vs time data
  2. Compute τ = r·T
  3. Verify τ = I·α
  4. Confirm work-energy theorem

4. Conclusion

  1. Compare experimental vs theoretical values
  2. Identify error sources
  3. Evaluate support for theoretical principles

Simulation Procedure

  1. Set initial conditions (disc radius, masses, height)
  2. Start simulation
  3. Observe real-time data:
    • Angular velocity (ω)
    • Angular acceleration (α)
    • Time elapsed
    • Work and energy values
  4. Track rotations
  5. Compute torque
  6. Verify τ = I·α
  7. Compare work vs rotational KE
  8. Analyze results using visualization tools

Simulation Outputs

  • Torque vs Angular Acceleration graph (linear)
  • Work Done vs Energy Change (equal)
  • Rotations vs Fall Height relationship