1. Experimental investigation of equilibrium: setting up and measuring the equilibrium position of a wooden strip under applied forces, determining angles and spring extension.

2. Relationship between mass, extension, and angle: varying total mass, measuring corresponding angles and extensions, constructing a data table including calculated values of extension and sine of angle.

3. Graphical analysis of equilibrium: plotting extension against sine of angle, determining the best-fit line, extracting gradient and y-intercept, and verifying the relationship \\\\( e = P \\\\sin \\\\theta + Q \\\\).

4. Experimental oscillations: measuring the width and thickness of a board, setting up apparatus for oscillating motion, measuring the separation distance between stands.

5. Verification of oscillation relationships: measuring oscillation period for different board distances, determining constants in the equation \\\\( (T - a) = kd \\\\), and assessing data reliability using percentage uncertainties.

6. Error sources and improvements: identifying measurement uncertainties in angles, distances, and oscillation periods, proposing enhancements in setup accuracy, timing methods, and measurement techniques.