Title : Centroid 1-D

Aim: To verify the Parallelogram Law of Forces

Apparatus: Metal Wire, string, scale, blank paper, protractors, etc.

Theory: Centoid of 1-D object is known as the point at which entire mass of the object is concentrated.

x = \frac{∑Lixi}{∑Li}

y = \frac{∑Liyi}{∑Li}

Where, (x,y) is the coordinates of the centroid of the 1-D object

Procedure:

Take a metal strip wire and turn it into given shape.
Make a trace the wire shape on blank paper
Plot the surface reference axes for the traced figure.
Calculate centroid analytically for given traced object.
Repeate the above procedure by hanging the object at any other point and then trace the gravity line on the paper
Intersections on the both traced line given as the centroid on object experimentally.
Find coordinates of the experimental centroid using the scale from the reference axis.
Calculate errors in analytical and experimental centroid coordinates.

Observation Table :

segment	length	x	y	lx	ly
AB	5	3.76	3.76	18.8	18.8
BC	6.28	7.53	6.80	47.28	42.7
CD	2	8.53	2.7	17.06	5.4
DE	6.28	10.53	4.26	66.12	26.75

Result: Centroid of 1-D object is G(7.63,4.78)