A balanced lever has two weights on it, the first with mass #16 kg # and the second with mass #32 kg#. If the first weight is # 7 m# from the fulcrum, how far is the second weight from the fulcrum?

1 Answer
Dec 21, 2016

Answer:

Second weight is #3.5# #m.# from the fulcrum.

Explanation:

In a balanced lever, the moment of each of the weights should be equal.

Moment is mass of the weight multiplied by its distance from fulcrum.

As first weighs #16kg.# and is at a distance of #7m# frm fulcrum, its moment is #16xx7=112# #kg.m#.

As lever is balanced, moment of second weight too would be #112# #kg.m#. But its weight is #32kg.#.

Hence, it should be at a distance of

#112/32=(16xx7)/(16xx2)=7/2=3.5# #m.#