Question

Write the theorem of parallel axes for the given figure, where G is the centre of mass of the body

• A. $1=I_G-{Md}^2$
• B. $I=I_S+M{d}^2$
• C. $I+I_S+M{d}^2$
• D. $l_6=1+M{d}^2$

Answer 1

The correct option is B $I=I_S+M{d}^2$

$\begin{array}{c}\text{According to parallel axis theorem,}\\ \text{if there are two axes which are parallel,}Is\text{and}I\text{,}\\ \text{such that one of them must passes through the centre of mass}\\ \text{of the body, (distance}b/\omega Is\text{and}I\text{being d)}\\ \text{then,}\end{array}$

$\begin{array}{c}I=Is+m{d}^2\\ \text{(m: mass of body and}\\ Is\text{axis passes through the centre of mass).}\end{array}$