Answer to Question #168122 in Classical Mechanics for D

Question

Calculate the mass m needed in order to suspend the leg shown in the figure below. Assume the leg (with cast) has a mass of 14.1 kg, and its CG is 34.2 cm from the hip joint; the sling is 80.4 cm from the hip joint.

Answer 1

Given,

$m_1=14.1kg$

$CG=34.2cm$

$m_2=?$

sling length(sl)=$80.4cm$

Now, $14.1kg\times 34.2=m_2\times 80.4$

$\Rightarrow m_2=\frac{14.1\times 34.2}{80.4}kg$

$\Rightarrow m_2=5.997kg$