A balanced lever has two weights on it, the first with mass #9 kg # and the second with mass #4 kg#. If the first weight is # 12 m# from the fulcrum, how far is the second weight from the fulcrum?

Question

1381 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-01T06:11:14

The distance is #=27m#

commons.wikimedia.org

The acceleration due to gravity is #g=9.8ms^-2#

The mass #M_1=9kg#

The mass #M_2=4kg#

The distance #a=12m#

Taking moments about the fulcrum

#M_1gxxa=M_2gxxb#

So,

#9gxx12=4gxxb#

#b=(108g)/(4g)=27m#