Question

What is the centre of gravity of a semi circle is at a perpendicular distance from its centre

Answer 1

Answer:

These are mostly computational tasks and depending on how your particular curriculum is structured you may not even look at this miniature subject during an average basic physics course and only address it in an analysis (or calculus) course under the Application to Geometry and Physics section or some such.

Reducing the formulas from the link above to a 33-space smooth (meaning well-behaving) material curve ll with a continuous density function ρ(x,y,z)ρ(x,y,z) for the xx-component of the center of mass CC we have:

xc=∫lxρ(x,y,z)dlm(1)(1)xc=∫lxρ(x,y,z)dlm

where mm is the curve’s mass:

m=∫lρ(x,y,z)dl(2)(2)m=∫lρ(x,y,z)dl

For the yy-component of the center of mass CC we have:

yc=∫lyρ(x,y,z)dlm(3)(3)yc=∫lyρ(x,y,z)dlm

and for the zz-component of the center of mass CC we have:

zc=∫lzρ(x,y,z)dl

hope it helps!❤❤

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