269546
Three identical particles each of mass \(0.1 \mathrm{~kg}\) are arranged at three corners of a square of side \(\sqrt{2} \mathrm{~m}\). The distance of the center of mass from the fourth corner is
1 \(2 / 3 \mathrm{~m}\)
2 \(4 / 3 \mathrm{~m}\)
3 \(1 \mathrm{~m}\)
4 \(8 / 3 \mathrm{~m}\)
Explanation:
\(r_{c m}=\sqrt{x_{c m}^{2}+y_{c m}^{2}}\)
Rotational Motion
269547
A bomb of mass ' \(m\) ' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the \(x\)-axis at \(x=60 \mathrm{~cm}\) and another is at \(x=40 \mathrm{~cm}, y=60 \mathrm{~cm}\). The position of the third piece is
269548
Masses \(1 \mathrm{~kg}, 1.5 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(M \mathrm{~kg}\) are situated at \((2,1,1),(1,2,1),(2,-2,1)\) and \((-1,4,3)\).If their center of mass is situated at ( \(1,1,3 / 2\) ), the value of \(M\) is
269549
Six identical particles each of mass ' \(m\) ' are arranged at the corners of a regular hexagon of side length ' \(L\) '. If the masses of any two adjacent particles are doubled. The shift in the centre of mass is
269546
Three identical particles each of mass \(0.1 \mathrm{~kg}\) are arranged at three corners of a square of side \(\sqrt{2} \mathrm{~m}\). The distance of the center of mass from the fourth corner is
1 \(2 / 3 \mathrm{~m}\)
2 \(4 / 3 \mathrm{~m}\)
3 \(1 \mathrm{~m}\)
4 \(8 / 3 \mathrm{~m}\)
Explanation:
\(r_{c m}=\sqrt{x_{c m}^{2}+y_{c m}^{2}}\)
Rotational Motion
269547
A bomb of mass ' \(m\) ' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the \(x\)-axis at \(x=60 \mathrm{~cm}\) and another is at \(x=40 \mathrm{~cm}, y=60 \mathrm{~cm}\). The position of the third piece is
269548
Masses \(1 \mathrm{~kg}, 1.5 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(M \mathrm{~kg}\) are situated at \((2,1,1),(1,2,1),(2,-2,1)\) and \((-1,4,3)\).If their center of mass is situated at ( \(1,1,3 / 2\) ), the value of \(M\) is
269549
Six identical particles each of mass ' \(m\) ' are arranged at the corners of a regular hexagon of side length ' \(L\) '. If the masses of any two adjacent particles are doubled. The shift in the centre of mass is
269546
Three identical particles each of mass \(0.1 \mathrm{~kg}\) are arranged at three corners of a square of side \(\sqrt{2} \mathrm{~m}\). The distance of the center of mass from the fourth corner is
1 \(2 / 3 \mathrm{~m}\)
2 \(4 / 3 \mathrm{~m}\)
3 \(1 \mathrm{~m}\)
4 \(8 / 3 \mathrm{~m}\)
Explanation:
\(r_{c m}=\sqrt{x_{c m}^{2}+y_{c m}^{2}}\)
Rotational Motion
269547
A bomb of mass ' \(m\) ' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the \(x\)-axis at \(x=60 \mathrm{~cm}\) and another is at \(x=40 \mathrm{~cm}, y=60 \mathrm{~cm}\). The position of the third piece is
269548
Masses \(1 \mathrm{~kg}, 1.5 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(M \mathrm{~kg}\) are situated at \((2,1,1),(1,2,1),(2,-2,1)\) and \((-1,4,3)\).If their center of mass is situated at ( \(1,1,3 / 2\) ), the value of \(M\) is
269549
Six identical particles each of mass ' \(m\) ' are arranged at the corners of a regular hexagon of side length ' \(L\) '. If the masses of any two adjacent particles are doubled. The shift in the centre of mass is
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Rotational Motion
269546
Three identical particles each of mass \(0.1 \mathrm{~kg}\) are arranged at three corners of a square of side \(\sqrt{2} \mathrm{~m}\). The distance of the center of mass from the fourth corner is
1 \(2 / 3 \mathrm{~m}\)
2 \(4 / 3 \mathrm{~m}\)
3 \(1 \mathrm{~m}\)
4 \(8 / 3 \mathrm{~m}\)
Explanation:
\(r_{c m}=\sqrt{x_{c m}^{2}+y_{c m}^{2}}\)
Rotational Motion
269547
A bomb of mass ' \(m\) ' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the \(x\)-axis at \(x=60 \mathrm{~cm}\) and another is at \(x=40 \mathrm{~cm}, y=60 \mathrm{~cm}\). The position of the third piece is
269548
Masses \(1 \mathrm{~kg}, 1.5 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(M \mathrm{~kg}\) are situated at \((2,1,1),(1,2,1),(2,-2,1)\) and \((-1,4,3)\).If their center of mass is situated at ( \(1,1,3 / 2\) ), the value of \(M\) is
269549
Six identical particles each of mass ' \(m\) ' are arranged at the corners of a regular hexagon of side length ' \(L\) '. If the masses of any two adjacent particles are doubled. The shift in the centre of mass is