Data From The Experiences.pdf

Spring Oscillation:

- Hooke's Law Application: Using Hooke's Law (F = -kz), the ratio k/g was determined by measuring spring deformation (∆l) and mass (m). Equation (2) shows the calculated k/g in kg/m.
- Period of Oscillation: The oscillation period T was measured, leading to an equation (3) relating spring constant k to mass m.
- Inferred Gravity: Knowing k from equation (3) and using k/g from (2), gravity g was calculated using equation (4).

2. Simple Pendulum:

- Metallic Sphere Data: An experiment with a metallic sphere pendulum bob provided data for mass m = 33.0 g and half-pendulum length d1/2 = 1 cm.
- Period and Gravity Calculation: The period T of oscillation was measured, leading to an equation (5) relating L (length), T, and g, ultimately yielding g = 4π²/L² in m/s².

3. Parabolic Throw:

- Height and Displacement Data: This experiment recorded height H, horizontal displacement xA, and drop time tA for two distinct points (tA1 and tA2).
- Time Difference and Gravity: The difference in time (tA = tA2 - tA1) was used to calculate gravity g using the parabolic trajectory equation (6), resulting in g = 2H/t² in m/s².