1.)Three spherical masses are located in a plane at the positions shown below. T
ID: 3281156 • Letter: 1
Question
1.)Three spherical masses are located in a plane at the positions shown below.
The masses are Q=0.400 kg, R=0.300 kg, and S=0.200 kg. Calculate the x and y coordinates of the Center-of-Mass of this three mass system.
XCM =
YCM =
2.)Three small spherical masses are located in a plane at the positions shown below.
The masses are Q=0.400 kg, R=0.300 kg, and S=0.200 kg. Calculate the moment of inertia (of the 3 masses) with respect to an axis perpendicular to the xy plane and passing through x=0 and y=-2. [Since the masses are of small size, you can neglect the contribution due to moments of inertia about their centers of mass.]
Explanation / Answer
1) x_cm = [ (0.40 x 2) + (0.30 x 5) + (0.20 x -2)] / (0.4 + 0.3 + 0.2)
x_cm = 2.11 m .......Ans
y_cm = [ (0.4 x -2) + (0.30 x 1) + (0.2 x 2)] / 0.9
= - 0.11 m .........Ans
2) x_cm = [ (0.40 x 3) + (0.30 x 3) + (0.20 x -1)] / (0.4 + 0.3 + 0.2)
x_cm = 2.56 m .......Ans
y_cm = [ (0.4 x -1) + (0.30 x 2) + (0.2 x -3)] / 0.9
= - 0.44 m .........Ans
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