Rotational Dynamics and Work-Energy Verification
Procedure
Experimental Procedure
1. Setup
- Secure disc on low-friction rotational axis
- Attach string with suspended mass
- Set up sensors for ω, α, and time measurements
2. Conducting the Experiment
- Hold mass at fixed height with taut string
- Release mass without initial push
- Record angular velocity at time intervals
- Measure total rotations
3. Data Analysis
- Calculate α from ω vs time data
- Compute τ = r·T
- Verify τ = I·α
- Confirm work-energy theorem
4. Conclusion
- Compare experimental vs theoretical values
- Identify error sources
- Evaluate support for theoretical principles
Simulation Procedure
- Set initial conditions (disc radius, masses, height)
- Start simulation
- Observe real-time data:
- Angular velocity (ω)
- Angular acceleration (α)
- Time elapsed
- Work and energy values
- Track rotations
- Compute torque
- Verify τ = I·α
- Compare work vs rotational KE
- Analyze results using visualization tools
Simulation Outputs
- Torque vs Angular Acceleration graph (linear)
- Work Done vs Energy Change (equal)
- Rotations vs Fall Height relationship