Six particles situated at the corners of a regular hexagon of side a move at a constant speed v. Each particle maintains a direction towards the particle at the next corner. Calculate the time the particles will take to meet each other.

Four particles situated at the corners of a square of side ‘a’ move at a constant speed v. Each particle maintains a direction towards the next particle in succession. Calculate the time particles will take to meet each other.

Three particles of masses 1 kg, 2 kg and 3 kg are situated at the corners of an equilateral triangle move at speed 6ms^(-1), 3ms^(-1) and 2ms^(-1) respectively. Each particle maintains a direction towards the particles at the next corners symmetrically. Find velocity of CM of the system at this instant

Three particles of masses 1 kg, 2 kg and 3 kg are situated at the corners of an equilateral triangle move at speed 6ms^(-1), 3ms^(-1) and 2ms^(-1) respectively. Each particle maintains a direction towards the particles at the next corners symmetrically. Find velocity of CM of the system at this instant

Three particles of masses 1 kg, 2 kg and 3 kg are situated at the corners of an equilateral triangle move at speed 6ms^(-1), 3ms^(-1) and 2ms^(-1) respectively. Each particle maintains a direction towards the particles at the next corners symmetrically. Find velocity of CM of the system at this instant

Four particles of masses 1 kg, 2 kg, 3 kg, and 4 kg are situated at the corners of a square and moving at speed 3 ms^(-1), 4 ms^(-1), 1 ms^(-1) and 2 ms^(-1) respectively. Each particle maintains a direction towards the particle at the next comer symmetrically. The momentum of the system at this instant is

six particles are situated at the corners of a regular hexagon. These particles start moving with equal speed of 10 m/s in such that velocity of any one particle is directed towards the next particle. Find the rate (in m/s) at which length of a side of the hexagon is decreasing.

six particles are situated at the corners of a regular hexagon. These particles start moving with equal speed of 10 m/s in such that velocity of any one particle is directed towards the next particle. Find the rate (in m/s) at which length of a side of the hexagon is decreasing.

Six identical particles each of mass m are arranged at the corners of a regular hexagone of side length s. If the mass of one of the particle is doubled, the shift in the centre of mass is