Find the moment of inertia of the system about an axis passing through $m_{1}$ and perpendicular to the line joining $m_{1}$ and $m_{2}$ ?

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Solution

R.E.F image
Case is like the figure shown
moment inertia
$I = m_{1} r_{1}^{2} + m_{2} r_{2}^{2}$
$I = 0 + m_{2} r^{2}$
$I = m_{2} r^{2}$ ir $=$ perpendicular distance
of $m_{2}$ from the axis
of rotation.

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Find the moment of inertia of the system about an axis passing through m1 and perpendicular to the line joining m1 and m2 ?

R.E.F image Case is like the figure shown moment inertia I=m1r21+m2r22I=0+m2r2 I=m2r2 ir = perpendicular distance of m2 from the axis of rotation.

Find the moment of inertia of the system about an axis passing through $m_{1}$ and perpendicular to the line joining $m_{1}$ and $m_{2}$ ?

R.E.F image
Case is like the figure shown
moment inertia
$I = m_{1} r_{1}^{2} + m_{2} r_{2}^{2}$
$I = 0 + m_{2} r^{2}$
$I = m_{2} r^{2}$ ir $=$ perpendicular distance
of $m_{2}$ from the axis
of rotation.