Moment of Inertia & Mass Distribution Video Lessons

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Problem: The three masses shown in the figure(Figure 1) are connected by massless, rigid rods.Part A:Find the coordinates of the center of mass. Find the x-coordinate.Part B: Find the y-coordinate.Part C:Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page.Part D: Find the moment of inertia about an axis that passes through masses B and C.

FREE Expert Solution

x-coordinate of the center of mass;

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

Similarly, y-coordinate of the center of mass:

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

Moment of inertia:

I=mr2

Part A

Coordinates of the 200g mass is:

x-coordinate = 12/2 = 6 cm

y-coordinate = sqrt (102 - 62) = 8 cm.

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Problem Details

The three masses shown in the figure(Figure 1) are connected by massless, rigid rods.

Part A:Find the coordinates of the center of mass. Find the x-coordinate.

Part B: Find the y-coordinate.

Part C:Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page.

Part D: Find the moment of inertia about an axis that passes through masses B and C.


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