You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Center of Mass as an Average Point

Four particle...

Question

Four particles of masses $m_{1}, m_{2}, m_{3}$ and $m_{4}$ are placed at the vertices A,B,C and D of a square as shown respectively. The COM of the system will lie on diagonal AC if:

m_{1} = m_{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

m_{2} = m_{4}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

m_{1} = m_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

m_{3} = m_{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $m_{2} = m_{4}$
COM will lie on diagonal AC, if masses are distributed symmetrically around AC i.e. COM will be equidistant from B and D if $m_{2} = m_{4}$ .

Suggest Corrections

Similar questions

Q. Four particles of masses

m_{1}, m_{2}, m_{3}

and

m_{4}

are placed at the vertices A,B,C and D of a square as shown respectively. The COM of the system will lie on diagonal AC if:

Q. Four particles of masses

m_{1} = 2 m, m_{2} = 4 m, m_{3} = m

and

m_{4}

respectively are placed at the four corners of a square. What should be the value of mass

m_{4}

so that the centre of mass of the system of particles lies at the centre of square?

Four particles of masses $m_{1} = 2 m, m_{2} = 4 m, m_{3} = m$ and $m_{4}$ respectively are placed at the four corners of a square. What should be the value of mass $m_{4}$ so that the centre of mass of the system of particles lies at the centre of square?

Q. Four particles of mass

m_{1} = 2,, m_{2} = 4 m, m_{3} = m

and

m_{4}

are placed at four corners of a square. What should be the value of

M_{4}

, so that the centre of mass of all the four particles are exactly at the centre of the square?

Q. Four particles of mass

m_{1} = 2 m, m_{2} = 4 m, m_{3} = m a n d m_{4}

are placed at four corners of a square. What should be the value of

m_{4}

so that the centre of mass of all the four particles are exactly at the centre of the square?

Join BYJU'S Learning Program

Four particles of masses m1,m2,m3 and m4 are placed at the vertices A,B,C and D of a square as shown respectively. The COM of the system will lie on diagonal AC if:

The correct option is B m2=m4COM will lie on diagonal AC, if masses are distributed symmetrically around AC i.e. COM will be equidistant from B and D if m2=m4.

Four particles of masses $m_{1}, m_{2}, m_{3}$ and $m_{4}$ are placed at the vertices A,B,C and D of a square as shown respectively. The COM of the system will lie on diagonal AC if:

The correct option is B $m_{2} = m_{4}$
COM will lie on diagonal AC, if masses are distributed symmetrically around AC i.e. COM will be equidistant from B and D if $m_{2} = m_{4}$ .