00. Centre of Mass
Rotational Motion

269488 Three particles each of mass\(2 \mathrm{~kg}\) are at the corners of an equilateral triangle of side \(\sqrt{3} \mathrm{~m}\). If one of the particles is removed, the shift in the centre of mass is

1 \(0.2 \mathrm{~m}\)
2 \(0.5 \mathrm{~m}\)
3 \(0.4 \mathrm{~m}\)
4 \(0.3 \mathrm{~m}\)
Rotational Motion

269489 The mass of a uniform ladder of length\(5 \mathrm{~m}\) is \(20 \mathrm{~kg}\). A person of mass \(60 \mathrm{~kg}\) stand on the ladder at a height of \(2 \mathrm{~m}\) from the bottom. The position of centre of mass of the ladder and man from the bottom is

1 \(1.256 \mathrm{~m}\)
2 \(2.532 \mathrm{~m}\)
3 \(3.513 \mathrm{~m}\)
4 \(2.125 \mathrm{~m}\)
Rotational Motion

269490 A uniform thin rod of length\(1 \mathrm{~m}\) and mass \(3 \mathrm{~kg}\) is attached to a uniform thin circular disc of radius \(30 \mathrm{~cm}\) and mass \(1 \mathrm{~kg}\) at its centre perpendicular to its plane. The centre of mass of the combination from the centre of disc is

1 \(0.375 \mathrm{~m}\)
2 \(0.25 \mathrm{~m}\)
3 \(0.125 \mathrm{~m}\)
4 \(0.475 \mathrm{~m}\)
Rotational Motion

269491 Four identical particles each of mass" \(m\) " are arranged at the corners of a square of side length " \(L\) ". If one of the masses is doubled, the shift in the centre of mass of the system. w.r.t. diagonally opposite mass

1 \(\frac{L}{\sqrt{2}}\)
2 \(\frac{3 \sqrt{2} L}{5}\)
3 \(\frac{L}{4 \sqrt{2}}\)
4 \(\frac{L}{5 \sqrt{2}}\)
Rotational Motion

269488 Three particles each of mass\(2 \mathrm{~kg}\) are at the corners of an equilateral triangle of side \(\sqrt{3} \mathrm{~m}\). If one of the particles is removed, the shift in the centre of mass is

1 \(0.2 \mathrm{~m}\)
2 \(0.5 \mathrm{~m}\)
3 \(0.4 \mathrm{~m}\)
4 \(0.3 \mathrm{~m}\)
Rotational Motion

269489 The mass of a uniform ladder of length\(5 \mathrm{~m}\) is \(20 \mathrm{~kg}\). A person of mass \(60 \mathrm{~kg}\) stand on the ladder at a height of \(2 \mathrm{~m}\) from the bottom. The position of centre of mass of the ladder and man from the bottom is

1 \(1.256 \mathrm{~m}\)
2 \(2.532 \mathrm{~m}\)
3 \(3.513 \mathrm{~m}\)
4 \(2.125 \mathrm{~m}\)
Rotational Motion

269490 A uniform thin rod of length\(1 \mathrm{~m}\) and mass \(3 \mathrm{~kg}\) is attached to a uniform thin circular disc of radius \(30 \mathrm{~cm}\) and mass \(1 \mathrm{~kg}\) at its centre perpendicular to its plane. The centre of mass of the combination from the centre of disc is

1 \(0.375 \mathrm{~m}\)
2 \(0.25 \mathrm{~m}\)
3 \(0.125 \mathrm{~m}\)
4 \(0.475 \mathrm{~m}\)
Rotational Motion

269491 Four identical particles each of mass" \(m\) " are arranged at the corners of a square of side length " \(L\) ". If one of the masses is doubled, the shift in the centre of mass of the system. w.r.t. diagonally opposite mass

1 \(\frac{L}{\sqrt{2}}\)
2 \(\frac{3 \sqrt{2} L}{5}\)
3 \(\frac{L}{4 \sqrt{2}}\)
4 \(\frac{L}{5 \sqrt{2}}\)
Rotational Motion

269488 Three particles each of mass\(2 \mathrm{~kg}\) are at the corners of an equilateral triangle of side \(\sqrt{3} \mathrm{~m}\). If one of the particles is removed, the shift in the centre of mass is

1 \(0.2 \mathrm{~m}\)
2 \(0.5 \mathrm{~m}\)
3 \(0.4 \mathrm{~m}\)
4 \(0.3 \mathrm{~m}\)
Rotational Motion

269489 The mass of a uniform ladder of length\(5 \mathrm{~m}\) is \(20 \mathrm{~kg}\). A person of mass \(60 \mathrm{~kg}\) stand on the ladder at a height of \(2 \mathrm{~m}\) from the bottom. The position of centre of mass of the ladder and man from the bottom is

1 \(1.256 \mathrm{~m}\)
2 \(2.532 \mathrm{~m}\)
3 \(3.513 \mathrm{~m}\)
4 \(2.125 \mathrm{~m}\)
Rotational Motion

269490 A uniform thin rod of length\(1 \mathrm{~m}\) and mass \(3 \mathrm{~kg}\) is attached to a uniform thin circular disc of radius \(30 \mathrm{~cm}\) and mass \(1 \mathrm{~kg}\) at its centre perpendicular to its plane. The centre of mass of the combination from the centre of disc is

1 \(0.375 \mathrm{~m}\)
2 \(0.25 \mathrm{~m}\)
3 \(0.125 \mathrm{~m}\)
4 \(0.475 \mathrm{~m}\)
Rotational Motion

269491 Four identical particles each of mass" \(m\) " are arranged at the corners of a square of side length " \(L\) ". If one of the masses is doubled, the shift in the centre of mass of the system. w.r.t. diagonally opposite mass

1 \(\frac{L}{\sqrt{2}}\)
2 \(\frac{3 \sqrt{2} L}{5}\)
3 \(\frac{L}{4 \sqrt{2}}\)
4 \(\frac{L}{5 \sqrt{2}}\)
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Rotational Motion

269488 Three particles each of mass\(2 \mathrm{~kg}\) are at the corners of an equilateral triangle of side \(\sqrt{3} \mathrm{~m}\). If one of the particles is removed, the shift in the centre of mass is

1 \(0.2 \mathrm{~m}\)
2 \(0.5 \mathrm{~m}\)
3 \(0.4 \mathrm{~m}\)
4 \(0.3 \mathrm{~m}\)
Rotational Motion

269489 The mass of a uniform ladder of length\(5 \mathrm{~m}\) is \(20 \mathrm{~kg}\). A person of mass \(60 \mathrm{~kg}\) stand on the ladder at a height of \(2 \mathrm{~m}\) from the bottom. The position of centre of mass of the ladder and man from the bottom is

1 \(1.256 \mathrm{~m}\)
2 \(2.532 \mathrm{~m}\)
3 \(3.513 \mathrm{~m}\)
4 \(2.125 \mathrm{~m}\)
Rotational Motion

269490 A uniform thin rod of length\(1 \mathrm{~m}\) and mass \(3 \mathrm{~kg}\) is attached to a uniform thin circular disc of radius \(30 \mathrm{~cm}\) and mass \(1 \mathrm{~kg}\) at its centre perpendicular to its plane. The centre of mass of the combination from the centre of disc is

1 \(0.375 \mathrm{~m}\)
2 \(0.25 \mathrm{~m}\)
3 \(0.125 \mathrm{~m}\)
4 \(0.475 \mathrm{~m}\)
Rotational Motion

269491 Four identical particles each of mass" \(m\) " are arranged at the corners of a square of side length " \(L\) ". If one of the masses is doubled, the shift in the centre of mass of the system. w.r.t. diagonally opposite mass

1 \(\frac{L}{\sqrt{2}}\)
2 \(\frac{3 \sqrt{2} L}{5}\)
3 \(\frac{L}{4 \sqrt{2}}\)
4 \(\frac{L}{5 \sqrt{2}}\)