Physics 9702,35 Oct Nov 2024

1. Experimental investigation of moments: balancing a meter rule with known masses, varying mass positions, measuring distances, plotting graphs of distance ratios, and calculating gradient and intercept.

2. Mathematical modeling of equilibrium: verifying the equation \\\\( s/a = P/a + Q \\\\), determining constants \\\\( P \\\\) and \\\\( Q \\\\), calculating the reaction force constant \\\\( R \\\\) using given parameters.

3. Measurement and precision: determining rod length, diameter, and volume, justifying significant figures, estimating percentage uncertainty in measurements.

4. Oscillatory motion of a suspended rod: measuring initial and displaced separation of rods, calculating spring constant, recording oscillation periods for different masses.

5. Validation of theoretical relationships: verifying the equation \\\\( \\\\rho V = kT^2/4\\\\pi^2 - M \\\\) using experimental data, comparing calculated density values, assessing uncertainty impact.

6. Error analysis and improvements: identifying experimental limitations in measuring distances, mass positioning, and oscillation timing, suggesting procedural and equipment improvements for accuracy.