A uniform circular disc has a radius of
20 cm. A circular disc of radius 10 cm
is cut concentrically from the original
disc. The shift in centre of mass is
(A)
ст
200
(B)
7
ст
300
(C)
1
cm
400
(D)
Zero
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Explanation:
So there is a uniform circular disk which has a radius of 20 cm. So the radius is R. Also the radius of the smaller disc r is 10 cm. It is cut concentrically from the original disc. So the discs has same centres.
- So for a uniform circular disc the centre of mass will be at the centre of disc.
- Now the disc of both the radius that is R and r will have the centre of mass at the same position.
- Now centre of mass R = (0,0) and r = (0,0)
- If we draw the x axis and y axis at the centre of the circle we get
- x coordinate will be x = m1x1 + m2x2 / m1 + m2
- So if x1 = 0 and x2 = 0 we get x coordinate as x = 0
- So centre of mass of bigger and smaller discs are in same position.
- Therefore there is no shift in centre of mass and hence the distance value is zero.
Reference link will be
https://brainly.in/question/6267732
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