163783 A circular plate of diameter \(d\) is kept in contact with a square plate of edge \(d\) as shown in fig. The density of the material and the thickness are same everywhere. The centre of mass of the composite system will be

163784 The moment of inertia of a rod about an axis through its centre and perpendicular to it's length is \(\frac{1}{12} M L^2(m=\) mass \(\& L\) is the length of rod). The rod is bent in the middle so that the two halves make an angle of \(60^{\circ}\). The moment of inertia of the bent rod about the same axis perpendicular to length of each halves is :

163785 Two bodies of mass \(1 \mathrm{~kg} \& 3 \mathrm{~kg}\) have position vectors \(\hat{i}+2 \hat{j}+\hat{k}\) and \(-3 \hat{i}-2 \hat{j}+\hat{k}\), respectively. The centre of mass of this system has a position vector :

163786 A constant torque of \(1000 \mathrm{~N}-\mathrm{m}\) turns a wheel of moment of inertia \(200 \mathrm{~kg} \mathrm{-m^{2 }}\) about an axis through its centre. Its angular velocity after 3 sec is (starts from rest):

163783 A circular plate of diameter \(d\) is kept in contact with a square plate of edge \(d\) as shown in fig. The density of the material and the thickness are same everywhere. The centre of mass of the composite system will be

163784 The moment of inertia of a rod about an axis through its centre and perpendicular to it's length is \(\frac{1}{12} M L^2(m=\) mass \(\& L\) is the length of rod). The rod is bent in the middle so that the two halves make an angle of \(60^{\circ}\). The moment of inertia of the bent rod about the same axis perpendicular to length of each halves is :

163785 Two bodies of mass \(1 \mathrm{~kg} \& 3 \mathrm{~kg}\) have position vectors \(\hat{i}+2 \hat{j}+\hat{k}\) and \(-3 \hat{i}-2 \hat{j}+\hat{k}\), respectively. The centre of mass of this system has a position vector :

163786 A constant torque of \(1000 \mathrm{~N}-\mathrm{m}\) turns a wheel of moment of inertia \(200 \mathrm{~kg} \mathrm{-m^{2 }}\) about an axis through its centre. Its angular velocity after 3 sec is (starts from rest):

163783 A circular plate of diameter \(d\) is kept in contact with a square plate of edge \(d\) as shown in fig. The density of the material and the thickness are same everywhere. The centre of mass of the composite system will be

163784 The moment of inertia of a rod about an axis through its centre and perpendicular to it's length is \(\frac{1}{12} M L^2(m=\) mass \(\& L\) is the length of rod). The rod is bent in the middle so that the two halves make an angle of \(60^{\circ}\). The moment of inertia of the bent rod about the same axis perpendicular to length of each halves is :

163785 Two bodies of mass \(1 \mathrm{~kg} \& 3 \mathrm{~kg}\) have position vectors \(\hat{i}+2 \hat{j}+\hat{k}\) and \(-3 \hat{i}-2 \hat{j}+\hat{k}\), respectively. The centre of mass of this system has a position vector :

163786 A constant torque of \(1000 \mathrm{~N}-\mathrm{m}\) turns a wheel of moment of inertia \(200 \mathrm{~kg} \mathrm{-m^{2 }}\) about an axis through its centre. Its angular velocity after 3 sec is (starts from rest):

163783 A circular plate of diameter \(d\) is kept in contact with a square plate of edge \(d\) as shown in fig. The density of the material and the thickness are same everywhere. The centre of mass of the composite system will be

163784 The moment of inertia of a rod about an axis through its centre and perpendicular to it's length is \(\frac{1}{12} M L^2(m=\) mass \(\& L\) is the length of rod). The rod is bent in the middle so that the two halves make an angle of \(60^{\circ}\). The moment of inertia of the bent rod about the same axis perpendicular to length of each halves is :

163785 Two bodies of mass \(1 \mathrm{~kg} \& 3 \mathrm{~kg}\) have position vectors \(\hat{i}+2 \hat{j}+\hat{k}\) and \(-3 \hat{i}-2 \hat{j}+\hat{k}\), respectively. The centre of mass of this system has a position vector :

163786 A constant torque of \(1000 \mathrm{~N}-\mathrm{m}\) turns a wheel of moment of inertia \(200 \mathrm{~kg} \mathrm{-m^{2 }}\) about an axis through its centre. Its angular velocity after 3 sec is (starts from rest):