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Two small kids weighing 10 kg and 15 kg ...

Two small kids weighing 10 kg and 15 kg respectively are trying to balance a seesaw of total length 5.0 with the fulcrum at the centre. If one of the kids is sitting at an end where should the other sit?

Text Solution

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If the kid of mass `15 kg` sit at the end, he will produce maximum torque about fulcrum.

The seesaw will not be balance for any position of kid of mass `10 kg`. It is clear that the `10 kg` kid should sit at the end the `15 kg` kid should sit closer to the centre. suppose his distance from the centre is `x`. As the kids are in equilibrium,the normal force between a kid and the see saw equals the weight of that kid. consider the rotational equilibrium add to zero. the forces are as follows:
a. `(15 kg)g=150N` downwards by the `15 kg` kid,
b. `(10 kg)=g=100 N` downwards by the `10 kg` kid,
c. weight of the seesaw, and
d. the normal force by the fulcrum
Taking torques about the fulcrum.
`150xxx=100xx2.5` or `x=1.7m`
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