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Grade: 12
        
A striaght rod of length L has one of its end at the origin and its length varies with position as x directly proportional to L .if the mass per unit length of rod is given by Ax where Ais constant ,where is the centre of mass?
                                                                         [AIIMS2015]
 
 
 
 
2 years ago

Answers : (1)

Eshan
askIITians Faculty
2095 Points
							Distance of center of mass from the origin=\dfrac{\int_0^L (\lambda dx)x}{\int_0^L\lambda dx}

=\dfrac{\int_0^L(Ax)xdx}{\int_0^L(Ax)dx}

=\dfrac{\int_0^Lx^2dx}{\int_0^Lxdx} =\dfrac{2L}{3}
one year ago
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