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?

Derive an expression for the position vector of the center of mass of particle system.

The positions of two masses, x1 and x2. The position of center of mass is

If a line makes angles 60^(@), 60^(@) with the positive x-axis and y-axis then the angle made by the line with positive z-axis is

Write an expression for position vector of centre of mass system of two paraticles lie on x-axis.

Three particles of masses m_1 = 1 kg, m_2 = 2 kg " and " m_2 = 3 kg are placed at the corners of an equilateral triangle of side 1m as shown in Figure. Find the position of center 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 )