Questions in rotational-motion

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	Where will be the centre of mass on combining two masses $m$ and $M (M>m)$
	Two objects of masses 200 gm and 500gm possess velocities $10\hat{i}$ m/s and $3\hat{i}+5\hat{j}$ m/s respectively. The velocity of their centre of mass in m/s is
	In the HCl molecule, the separation between the nuclei of the two atoms is about 1.27 Å (1 Å = $10^{–10}$ m). The approximate location of the centre of mass of the molecule from hydrogen is (assuming the chlorine atom to be about 35.5 times massive as hydrogen)
	Four particle of masses m, 2m, 3m and 4m are arranged at the corners of a parallelogram with each side equal to a and one of the angle between two adjacent sides is $60^o$. The parallelogram lies in the x-y plane with mass m at the origin and 4m on the x-axis. The centre of mass of the arrangement will be located at
	A system consists of 3 particles each of mass $m$ and located at (1, 1) (2, 2) (3, 3). The co-ordinate of the centre of mass are
	If a bomb is thrown at a certain angle with the horizontal and after exploding on the way the different fragments move in different directions then the centre of mass
	Four identical spheres each of mass m are placed at the corners of square of side 2 metre. Taking the point of intersection of the diagonals as the origin, the co-ordinates of the centre of mass are
	Two particles A and B initially at rest move towards each other under a mutual force of attraction. At the instant when the speed of A is $v$ and the speed of B is $2v$, the speed of centre of mass of the system is
	A circular plate of uniform thickness has diameter 56 cm. A circular part of diameter 42 cm is removed from one edge. What is the position of the centre of mass of the remaining part
	Two point masses m and M are separated by a distance L. The distance of the centre of mass of the system from m is

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