An effort force of #3.8 * 10^2# #N# positioned 2.4 m from the fulcrum on a first-class lever is used to lift one end of a cabin. The cabin exerts a force of magnitude #5.2 * 10^3# #N# in the lever. What is the load distance?

1 Answer
Narad T.
Nov 10, 2016

The load distance is #=0.18 m#

Explanation:

The moments about the fulcrum must be balanced.
Therefore, #F_1*d_1=F_2*d_2#
#F_1=3.8*10^2N#
#d_1=2.4 m#
#F_2=5.2*10^3N#
So, #d_2=(F_1*d_1)/F_2=(3.8*10^2*2.4)/(5.2*10^3)=3.8*2.4/52=0.18 m#

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