Part 1
Two masses of 6 and 2 units are at position (6i – 7j) and (2i + 5j – 8k) respectively. The coordinates of the centre of mass (CM) are
29
Oct
Two masses of 6 and 2 units are at position (6i – 7j) and (2i + 5j – 8k) respectively. The coordinates of the centre of mass (CM) are Two masses of 6 and 2 units are at position (6i - 7j) and (2i + 5j - 8k) respectively. The coordinates of the centre of [...]
Two bodies of masses m1 and m2 are separated by a distance R. The distance of the centre of mass of the bodies from the mass m1 is
29
Oct
Two bodies of masses m1 and m2 are separated by a distance R. The distance of the centre of mass of the bodies from the mass m1 is Two bodies of masses m1 and m2 are separated by a distance R. The distance of the centre of mass of the bodies from the mass m1 [...]
The position vectors of two identical particles with respect to the origin in three-dimensional coordinate system are r1 and r2 . The position vector of centre of mass of the system is given by:
29
Oct
The position vectors of two identical particles with respect to the origin in three-dimensional coordinate system are r1 and r2 . The position vector of centre of mass of the system is given by: The position vectors of two identical particles with respect to the origin in three-dimensional coordinate system are r1 and r2 . [...]
Two bodies of different masses of 2kg and 4kg are moving with velocities with 2m/s and 10m/s towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass?
29
Oct
Two bodies of different masses of 2kg and 4kg are moving with velocities with 2m/s and 10m/s towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass? Two bodies of different masses of 2kg and 4kg are moving with velocities with 2m/s and 10m/s towards each other due [...]
Centre of mass of three particles of masses 1kg, 2kg and 3kg lies at the point (1,2,3) and centre of mass of another system of particles 3kg and 2kg lies at the point (−1,3,−2). Where should we put a particle of mass 5kg so that the centre of mass of entire system lies at the centre of mass of first system ?
29
Oct
Centre of mass of three particles of masses 1kg, 2kg and 3kg lies at the point (1,2,3) and centre of mass of another system of particles 3kg and 2kg lies at the point (−1,3,−2). Where should we put a particle of mass 5kg so that the centre of mass of entire system lies at the [...]
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−2). Where should we put a particle of mass 5kg so that the centre of mass of entire system lies at the centre of mass of first system ? ,
2 ,
2kg and 3kg lies at the point (1 ,
3) and centre of mass of another system of particles 3kg and 2kg lies at the point (−1 ,
3% ,
Centre of mass of three particles of masses 1kg ,
The centre of mass of a system of three particles of masses 1 g, 2 g and 3 g is taken as the origin of a coordinate system. The position vector of a fourth particle of mass 4 g such that the centre of mass of the four particle system lies at the point (1,2,3) is α(iˆ+2jˆ+3kˆ), where α is a constant. The value of α is
29
Oct
The centre of mass of a system of three particles of masses 1 g, 2 g and 3 g is taken as the origin of a coordinate system. The position vector of a fourth particle of mass 4 g such that the centre of mass of the four particle system lies at the point (1,2,3) [...]
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2 ,
2 g and 3 g is taken as the origin of a coordinate system. The position vector of a fourth particle of mass 4 g such that the centre of mass of the four particle system lies at the point (1 ,
3) is α(iˆ+2jˆ+3kˆ) ,
The centre of mass of a system of three particles of masses 1 g ,
where α is a constant. The value of α is ,
Three identical spheres, each of mass 1kg are placed touching each other with their centres on a straight line. Their centers are marked P, Q and R respectively. The distance of center of mass of the system from P is:
29
Oct
Three identical spheres, each of mass 1kg are placed touching each other with their centres on a straight line. Their centers are marked P, Q and R respectively. The distance of center of mass of the system from P is: each of mass 1kg are placed touching each other with their centres on a straight [...]
A system consisting of two masses connected by a mass less rod lie along the x−axis. A 0.4 kg mass is at a distance x=2m while a 0.6 kg mass is at a distance x=7 m. The x−coordinate of the centre of mass is
29
Oct
A system consisting of two masses connected by a mass less rod lie along the x−axis. A 0.4 kg mass is at a distance x=2m while a 0.6 kg mass is at a distance x=7 m. The x−coordinate of the centre of mass is are placed at the corner of right angle triangle as shown [...]
Three bricks each of length L and mass M are arranged as shown from the wall. The distance of the centre of mass of the system from the wall is
29
Oct
Three bricks each of length L and mass M are arranged as shown from the wall. The distance of the centre of mass of the system from the wall is Three bricks each of length L and mass M are arranged as shown from the wall. The distance of the centre of mass of the [...]
In carbon monoxide molecule, the carbon and the oxygen atoms are separated by a distance 1.2×10^−10 m. The distance of the center of mass, from the carbon atom, is
29
Oct
In carbon monoxide molecule, the carbon and the oxygen atoms are separated by a distance 1.2×10^−10 m. The distance of the center of mass, from the carbon atom, is from the carbon atom In carbon monoxide molecule is the carbon and the oxygen atoms are separated by a distance 1.2×10^−10 m. The distance of the [...]