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Grade: 12
        

A mass m is at a distance a from one end of a uniform rod of length l and mass M. The gravitational force on the mass due to the rod is ------------

7 years ago

Answers : (1)

vikas askiitian expert
510 Points
							

force on mass m due to rod is equal to force on rod due to mass so   (action equals to reaction)

 i am calculating force on rod due to mass...

let rod is placed in x axis  such that its one end is at a distance x from origin ...mass m is placed at origin...

consider a element dx on rod at a distance x from origin...

mass of this element = dm = (M/L)dx

force on this element due to rod is dF = Gmdm/x2

           dF = Gm(M/L)dx/x2

 integrating both sides

       [F] lim0 to F = -GMm/L (1/x)          lim x to x+L

      F = GMm/x(x+L) 

approve if u like it

7 years ago
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