A circular ring of mass 6kg and radius a is placed such that its center of lies at the origin. Two particles of masses 2 kg each are placed at the intersecting points of the circle with positive X-axis and positive Y-axis. Then, the angle made by the position vector of center of mass of entire system with X-axis is

A circular ring of mass 8kg and radius 2m is placed such that its centre lies at the origin Two particles of masses 3kg and 4kg are placed at the intersecting points of the circle with +ve x-axis and +ve y-axis respectively. Then the angle made by the position vector of centre of mass of entire system with positive y-axis is?

Two particles of masses 1kg and 2kg are located at x=0 and x=3m . Find the position of their centre of mass.

Two particle of mass 4 kg & 2kg are located as shown in figure then find out the position of centre of mass.

Two particle of mass 1 kg and 2 kg are located at x = 0 and x = 3 m. Find the position of their centre of mass.

Four particles, each of mass 1kg are placed at the corners of a square OABC of side 1m . O is at the origin of the coordinate system. OA and OC are aligned along positive X-axis and positive Y-axis respectively. The position vector of the centre of mass is (in m )

If a line makes an angle (pi)/(4) with the positive directions of each of X-axis and Y-axis, then the angle that the line makes with the positive direction of the Z-axis is

Three particles , each of mass m, are placed at the vertices of a right angled triangle as shown in figure. The position vector of the center of mass of the system is (O is the origin and hat(i), hat(j), hat(k) are unit vectors)

A circular ring of mass M and radius 'a' is placed in a gravity free space. A small particle of mass m placed on the axis of the ring at a distance sqrt(3)a from the center of the ring, is released from rest. The velocity with which the particle passes through the center of the ring is

Three rings each of mass m and radius r are so placed that they touch each other. The radius of gyration of the system about the axis as shown in the figure is