Intro to Center of Mass Video Lessons

Video Thumbnail

Concept

Problem: Find the x- and y-coordinates of the center of gravity of a 4.00-ft by 8.00-ft uniform sheet of plywood with the upper right quadrant removed as shown in the figure below. Hint: The mass of any segment of the plywood sheet is proportional to the area of that segment.x=_____y=_____

FREE Expert Solution

X-coordinate of the center of mass:

xcm=m1x1+m2x2+...+mnxnm1+m2+...+mn

Y-coordinate of the center of mass:

Ycm=m1y1+m2y2+...+mnynm1+m2+...+mn

The block has a missing quarter. The mass of the block is unknown

The statement, "The mass of any segment of the plywood sheet is proportional to the area of that segment" implies that we can use the area of each piece instead of its mass. 

Let's begin with the x-coordinate of the center of mass:

84% (162 ratings)
View Complete Written Solution
Problem Details

Find the x- and y-coordinates of the center of gravity of a 4.00-ft by 8.00-ft uniform sheet of plywood with the upper right quadrant removed as shown in the figure below. Hint: The mass of any segment of the plywood sheet is proportional to the area of that segment.

x=_____
y=_____

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Center of Mass concept. You can view video lessons to learn Intro to Center of Mass. Or if you need more Intro to Center of Mass practice, you can also practice Intro to Center of Mass practice problems.