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A uniform bar of length 12 L and mass 48...

A uniform bar of length `12 L` and mass `48 m` is supported horizontally on two smooth tables as shown in the figure. A small moth (an insect) of mass `8m` is sitting on end `A` of the rod and a spider (an insect) of mass `16 m` is sitting on the other end `B`. Both the insects start moving towards each other along the rod with the moth moving at speed `2v` and the spider at half of this speed. They meet at a point `P` on the rod and the spider eats the moth. Also, let `v = L//T`, where `T` is a constant having value `4 sec`. The point `P` is at

A

(a) the centre of the rod

B

(b) the edge of the table supporting the end B

C

(c) the edge of the table supporting end A

D

(d) None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
`x_A+x_B=12L`

`:. 2vt+vt=12L`
`:. Vt=4L`
`impliesX_B=vt=4L`
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