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Find the center of mass of two identical rod

Two identical rods each of mass (m) and length (L) are connected . Locate the centre of mass of the system.

 

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Expert Solution

Concept :. 

Two identical rods each of mass (m) and length (L) 

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Centre of mass of a body or system of a particle is defined as, a point at which whole of the mass of the body or all the masses of a system of particle appeared to be concentrated.  

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 This system is symmetrical about x-axis hence we need to find Here we take coordinates of CM of rods.

 

M1 = M2 = M

 

L1 = L2 = L

 

Where M1, M2 and L1, L2 are mass and length of Rod 1 and Rod 2

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 Xcm=m1x1+m2x2/m1+m2 

=m(0)+m×L/2/m+m. 

=mL/4m =L/4 

 

The centre of mass of these two.identical rod is located at =L/4

 

 

Xcm=M1x1+M2X2/M1+M2

Naveen yadav answered 3 years ago
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