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? |
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b) |
c) |
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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? |
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a) |
b) |
c) |
d) |

1 Answer - 5876 Votes

3537

**(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