Physics, 27.07.2019 23:00 evan1v1123

Suppose a uniform slender rod has length l and mass m. the moment of inertia of the rod about about an axis that is perpendicular to the rod and that passes through its center of mass is given by icm=112ml2. find iend, the moment of inertia of the rod with respect to a parallel axis through one end of the rod. express iend in terms of m and l. use fractions rather than decimal numbers in your answer.

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Answer from: ems71

The parallel axis theorem for the calculation of inertia is the following:
$I=I_{CM}+Md^2$ where I is the inertia from an axis that is at distance d from the center of mass and Icm the inertia when the axis passes through the center of mass. In this case, the axis passes through the end of the rod and thus d=l/2 in this case.
We have that:
I=ml^2/12+m(l/2)^2=ml^2/12+ml^2/4=ml^2/12+3ml^2/12=ml^2/3

I=ml^2/12+m(l/2)^2=ml^2/12+ml^2/4=ml^2/12+3ml^2/12=ml^2/3

.
This yields us the final result: it is (ml^2)/3.

Answer from: mikequntana512

The moment of inertia of the rod with respect to a parallel axis through one end of the rod is $\frac{Ml^2 }{3}$ .

The given parameters:

Length of the rod, = LMass of the rod, = M

The parallel axis theorem for the calculation of inertia is given as follows;

$I = I_{CM} + Md^2$

where;

I is the inertia from an axis that is at distance d from the center of mass $I_{CM}$ the inertia when the axis passes through the center of mass.

The distance, d through the center of the rod, d = L/2

$I = I_{CM} + Md^2\\\\I = \frac{Ml^2}{12} + M(\frac{l}{2} )\\\\I = \frac{Ml^2}{12} + \frac{Ml^2}{4} \\\\I = \frac{Ml^2 + 3Ml^2}{12} \\\\I = \frac{4Ml^2}{12} \\\\I = \frac{Ml^2}{3}$

Thus, the moment of inertia of the rod with respect to a parallel axis through one end of the rod is $\frac{Ml^2 }{3}$ .

Learn more about parallel axis theorem here: link

Answer from: Quest

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

hope this !

Answer from: Quest

490 n

f=125n a=2.5m/s2

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