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Q.

Three boys are sitting on a see-saw in such a way that it is balanced. 20 kg and 30 kg boys are on opposite sides at a distance of 2m from the pivot. If the third boy jumps off, there by destroying balance, then the initial angular acceleration of the board is : (Neglect weight of board)

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a

0.01 rad s-2

b

1.0 rad s-2

c

10 rad s-2

d

100 rad s-2

answer is B.

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Detailed Solution

Net torque, 

τ=30g×220g×2=20g

Moment of Inertia,

I=30×22+20×22=120+80=200kgm2
α=τI=20g200=g10=1.0rads2

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