269550
Three particles each of mass ' \(m\) ' are arranged at the corners of an equilateral triangle of side ' \(L\) '. If one of masses is doubled. The shift in the centre of mass of the system
1 \(\frac{L}{\sqrt{3}}\)
2 \(\frac{L}{4 \sqrt{3}}\)
3 \(\frac{\sqrt{3} L}{4}\)
4 \(\frac{L}{2 \sqrt{3}}\)
Explanation:
\({shift }=\frac{m d}{M+m}\)
Rotational Motion
269551
Four identical particles each of mass ' \(m\) ' are arranged at the corners of a square of side length ' \(r\) '. If the masses of the particles at the end of a side are doubled, the shift in the centre of mass of the system.
1 \(\frac{l}{6}\)
2 \(\frac{1}{6 \sqrt{2}}\)
3 \(\frac{l}{\sqrt{2}}\)
4 \(\frac{l}{5 \sqrt{2}}\)
Explanation:
\(\quad\) shift \(=\frac{m d}{M+m}\)
Rotational Motion
269552
The co-ordinates of centre of mass of letter \(E\) which is cut from a uniform metal sheet are (take origin at bottom left corner and width of letter \(2 \mathrm{~cm}\) every where)
149668
The centre of mass of an extended body on the surface of the earth and its centre of gravity
1 Can never be at the same point
2 Centre of mass coincides with the centre of gravity of a body if the size of the body is negligible as compared to the size (or radius) of the earth
3 Are always at the same point for any size of the body
4 Are always at the same point only for spherical bodies
Explanation:
B Centre of mass coincides with the centre of gravity of a body if size of body is negligible as compared to the size of the earth. For objects of sizes less than \(100 \mathrm{~m}\) centre of mass is very close with the centre of gravity of the body. But when the size of object increases. Its weight changes and distance between \(\mathrm{CM}\) and \(\mathrm{CG}\) increased.
269550
Three particles each of mass ' \(m\) ' are arranged at the corners of an equilateral triangle of side ' \(L\) '. If one of masses is doubled. The shift in the centre of mass of the system
1 \(\frac{L}{\sqrt{3}}\)
2 \(\frac{L}{4 \sqrt{3}}\)
3 \(\frac{\sqrt{3} L}{4}\)
4 \(\frac{L}{2 \sqrt{3}}\)
Explanation:
\({shift }=\frac{m d}{M+m}\)
Rotational Motion
269551
Four identical particles each of mass ' \(m\) ' are arranged at the corners of a square of side length ' \(r\) '. If the masses of the particles at the end of a side are doubled, the shift in the centre of mass of the system.
1 \(\frac{l}{6}\)
2 \(\frac{1}{6 \sqrt{2}}\)
3 \(\frac{l}{\sqrt{2}}\)
4 \(\frac{l}{5 \sqrt{2}}\)
Explanation:
\(\quad\) shift \(=\frac{m d}{M+m}\)
Rotational Motion
269552
The co-ordinates of centre of mass of letter \(E\) which is cut from a uniform metal sheet are (take origin at bottom left corner and width of letter \(2 \mathrm{~cm}\) every where)
149668
The centre of mass of an extended body on the surface of the earth and its centre of gravity
1 Can never be at the same point
2 Centre of mass coincides with the centre of gravity of a body if the size of the body is negligible as compared to the size (or radius) of the earth
3 Are always at the same point for any size of the body
4 Are always at the same point only for spherical bodies
Explanation:
B Centre of mass coincides with the centre of gravity of a body if size of body is negligible as compared to the size of the earth. For objects of sizes less than \(100 \mathrm{~m}\) centre of mass is very close with the centre of gravity of the body. But when the size of object increases. Its weight changes and distance between \(\mathrm{CM}\) and \(\mathrm{CG}\) increased.
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Rotational Motion
269550
Three particles each of mass ' \(m\) ' are arranged at the corners of an equilateral triangle of side ' \(L\) '. If one of masses is doubled. The shift in the centre of mass of the system
1 \(\frac{L}{\sqrt{3}}\)
2 \(\frac{L}{4 \sqrt{3}}\)
3 \(\frac{\sqrt{3} L}{4}\)
4 \(\frac{L}{2 \sqrt{3}}\)
Explanation:
\({shift }=\frac{m d}{M+m}\)
Rotational Motion
269551
Four identical particles each of mass ' \(m\) ' are arranged at the corners of a square of side length ' \(r\) '. If the masses of the particles at the end of a side are doubled, the shift in the centre of mass of the system.
1 \(\frac{l}{6}\)
2 \(\frac{1}{6 \sqrt{2}}\)
3 \(\frac{l}{\sqrt{2}}\)
4 \(\frac{l}{5 \sqrt{2}}\)
Explanation:
\(\quad\) shift \(=\frac{m d}{M+m}\)
Rotational Motion
269552
The co-ordinates of centre of mass of letter \(E\) which is cut from a uniform metal sheet are (take origin at bottom left corner and width of letter \(2 \mathrm{~cm}\) every where)
149668
The centre of mass of an extended body on the surface of the earth and its centre of gravity
1 Can never be at the same point
2 Centre of mass coincides with the centre of gravity of a body if the size of the body is negligible as compared to the size (or radius) of the earth
3 Are always at the same point for any size of the body
4 Are always at the same point only for spherical bodies
Explanation:
B Centre of mass coincides with the centre of gravity of a body if size of body is negligible as compared to the size of the earth. For objects of sizes less than \(100 \mathrm{~m}\) centre of mass is very close with the centre of gravity of the body. But when the size of object increases. Its weight changes and distance between \(\mathrm{CM}\) and \(\mathrm{CG}\) increased.
269550
Three particles each of mass ' \(m\) ' are arranged at the corners of an equilateral triangle of side ' \(L\) '. If one of masses is doubled. The shift in the centre of mass of the system
1 \(\frac{L}{\sqrt{3}}\)
2 \(\frac{L}{4 \sqrt{3}}\)
3 \(\frac{\sqrt{3} L}{4}\)
4 \(\frac{L}{2 \sqrt{3}}\)
Explanation:
\({shift }=\frac{m d}{M+m}\)
Rotational Motion
269551
Four identical particles each of mass ' \(m\) ' are arranged at the corners of a square of side length ' \(r\) '. If the masses of the particles at the end of a side are doubled, the shift in the centre of mass of the system.
1 \(\frac{l}{6}\)
2 \(\frac{1}{6 \sqrt{2}}\)
3 \(\frac{l}{\sqrt{2}}\)
4 \(\frac{l}{5 \sqrt{2}}\)
Explanation:
\(\quad\) shift \(=\frac{m d}{M+m}\)
Rotational Motion
269552
The co-ordinates of centre of mass of letter \(E\) which is cut from a uniform metal sheet are (take origin at bottom left corner and width of letter \(2 \mathrm{~cm}\) every where)
149668
The centre of mass of an extended body on the surface of the earth and its centre of gravity
1 Can never be at the same point
2 Centre of mass coincides with the centre of gravity of a body if the size of the body is negligible as compared to the size (or radius) of the earth
3 Are always at the same point for any size of the body
4 Are always at the same point only for spherical bodies
Explanation:
B Centre of mass coincides with the centre of gravity of a body if size of body is negligible as compared to the size of the earth. For objects of sizes less than \(100 \mathrm{~m}\) centre of mass is very close with the centre of gravity of the body. But when the size of object increases. Its weight changes and distance between \(\mathrm{CM}\) and \(\mathrm{CG}\) increased.
