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 ?

Question

Vikas TU · Answer

total time = a/v + 2a/v + 3a/v + 4a/v + 5a/v

vinayaka · Answer

@ vikas Kumar Yadav... you are not be an IITan... a never mind... now, Initial separation between two particles=Side of hexagon=a Final separation=0 Therefore, Relative displacement between two particles=a Particle B has a component v cos 60 0 along particle BC (a side) Therefore, relative velocity with which B and C approaches each other=v- vcos60 =v/2 Since, v is constant, thus time taken by these two balls to meet each other is given by =(Relative displacement) / Relative velocity =a/(v/2)=2a/v So, the time taken by the particles to meet each other=2a/v

vinayaka · Answer

Relative velocity of A wrt B = V - Vsin30 = V/2 Time = distance / speed Time = 2a/V In reality each particle will follow a curved path and eventually meet at the center of the hexagon.

Taral Jain · Answer

How to Sketch figure of this problem.Please clear its figure.How to think about this type of problems.

ankit singh · Answer

along particle BC (a side) Therefore, relative velocity with which B and C approaches each other=v- vcos60 =v/2 Since, v is constant, thus time taken by these two balls to meet each other is given by =(Relative displacement) / Relative velocity =a/(v/2)=2a/v So, the time taken by the particles to meet each other=2a/v 60 0 nitial separation between two particles=Side of hexagon=a Final separation=0 Therefore, Relative displacement between two particles=a Particle B has a component v cos

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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 ?

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 ?

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