How to determine the acceleration due to gravity (g) using a simple pendulum experiment and record…

Question

How to determine the acceleration due to gravity (g) using a simple pendulum experiment and record measurements for d and h?

ScanSolve AI Tutor · Accepted Answer

Here's a detailed guide to carrying out the experiment, following the instructions provided: Step 1: Setup and Initial Measurements i) Fix the drawing paper vertically on the drawing board using two clamps. ii) Suspend the pendulum bob so it hangs freely in front of the drawing paper. iii) Draw a line RP representing the rest position of the pendulum string. Mark point P at the center of the pendulum bob at rest. iv) Displace the pendulum bob to one side in a plane parallel to the drawing board. v) Mark the new position P' of the center of the bob. vi) Measure and record the perpendicular distance, d, of P' from the line RP. vii) Evaluate and record d². viii) Measure and record the vertical height, h, of P' above P. Step 2: Calculate G ix) Evaluate G using the formula: G = (d²)/(h) Step 3: Repeat and Tabulate x) Repeat the procedure in Step 1 and Step 2 for four other positions of P', obtaining different values for d and h. xi) Tabulate your readings in a table similar to this: S/N — d (cm) — h (cm) — d² (cm^2) — G = (d²)/(h) (cm)1 2 3 4 5 Step 4: Determine Period T xii) Remove the drawing board so that the pendulum bob can swing freely. xiii) Set the pendulum bob oscillating through a small amplitude and determine the time, t, for 20 complete oscillations using a stopwatch. xiv) Determine and record the period T using the formula: T = t/20 Step 5: Plot Graph xv) Plot a graph with G on the vertical axis and h on the horizontal axis, starting both axes from the origin (0,0). Draw the best-fit straight line through the plotted points. Step 6: Determine Intercept xvi) Determine the intercept on the vertical (G) axis from your graph. The intercept on the G-axis is the value of G when h=0.

S/N	$d$ (cm)	$h$ (cm)	$d^2$ (cm $^2$ )	$G = \frac{d^2}{h}$ (cm)
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How to determine the acceleration due to gravity (g) using a simple pendulum experiment and record measurements for d and h?

Step-by-step solution

Setup and Initial Measurements

Calculate G

Repeat and Tabulate

Determine Period T

Plot Graph

Determine Intercept

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