00:01
Hello students here in the question we need to find the centroid of the shaded region.
00:06
Now first of all we divide this complete shaded region into different parts.
00:12
Now the height of the rectangle is given as 200 millimeter and breadth is given as 150 millimeter.
00:23
Its centroid is at 75 mm and 100 mm.
00:32
Now each triangle has a base of 125 mm and height of 60 mm and its centroid is at 62 .5 40 mm.
00:51
Now to find the centroid of the shaded area we need to find the weighted average of the centroids.
01:00
The area of the rectangle area of rectangle is 30 ,000 millimeter square and the area of triangle is 3 ,750 millimeter square.
01:18
So talking about the total area of the figure we have 3 ,750 millimeter square.
01:31
Now the x coordinate the x coordinate of centroid is 30 ,000 square into 75 plus 2 into 3 ,750 into 62 .5 upon 3 ,750 which is equals to 70 mm and talking about the y coordinate the y coordinate is at 30 ,000 into 100 plus 2 into 3 ,750 into 40 upon 3 ,750 which is equals to 80 millimeter...