Example 3 A man uses a 2.5 m long crowbar to raise a load
of 1000 N. Find: a. the effort needed to lift the load and b. the
mechanical advantage of the crowbar. The fulcrum is located at
2 m from the effort end.
of 1000 N. Find: a. the effort needed to lift the load and b. the
mechanical advantage of the crowbar. The fulcrum is located at
2 m from the effort end.
Answers & Comments
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a) We have, load =1000 N
Load arm =0.5 m
Effort =E= ? (To be calculated)
Effort arm =2 m
According to the principle of lever,
[tex] \text{Effort \( \times \) Effort \( \rm arm = \) Load \( \times \) Load \( \rm arm \)}[/tex]
[tex]\[ \begin{aligned} \rm E \times 2 m & \rm=1000 N \times 0.5 m \\ \\ \rm E & \rm=\frac{1000 N \times 0.5}{2 m } \\ \\ \color{orange} \rm E &\color{orange} \rm=250 N \end{aligned} \][/tex]
b. Mechanical advantage,
[tex] \begin{array}{l}\rm\[ MA =\dfrac{\text { Load }}{\text { Effort }} \\ \\ \rm=\dfrac{1000 N }{250 N } \\ \\ \color{orangered} =4 \] \end{array}[/tex]