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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  where  is constant, where is its mass centre?

a)

b)

c)

d)


Question ID - 52976 | Toppr 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  where  is constant, where is its mass centre?

a)

b)

c)

d)

1 Answer - 5876 Votes

3537

Answer Key : (c) -

(c)

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

Total mass of rod

Hence, the centre of mass is at



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