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A straight rod of length has one of its ends at the origin and the other at . If the mass per unit length of the rod is given by  is constant, where is its mass centre?

a)

b)

c)

d)



Question ID - 53208 | SaraNextGen Top Answer

A straight rod of length has one of its ends at the origin and the other at . If the mass per unit length of the rod is given by  is constant, where is its mass centre?

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (b) -

(b)

Let the mass of an element of length  of rod located at a distance  away from left end is . The -coordinate of the centre of mass is given by

                   =

 

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