Kinematics and Dynamics Lab Experiments

Mechanics Experiments

Laboratory experiments test kinematics and dynamics against real data. The best experiments plot one variable against another to yield a straight line, where the slope or intercept reveals the physical quantity.

Pendulum & Best Practices

To measure acceleration due to gravity $g$ from a pendulum, rearrange the period formula to:

$$g = \frac{4\pi^2 L}{T^2}$$

Plot $T^{2}$ vs $L$; the slope is $4\pi^{2}/g$. For $L = 1.00$ m and $T = 2.006$ s, calculating gives $g = 9.81$ m/s$^2$.

Practical tips: Use photogates or video analysis. Measure multiple periods and divide ($T = t_{10}/10$) to reduce timing error by $10\times$.

Common pitfall: Change one variable at a time. Varying mass and force together to save time produces untangible data.