Particles of masses 1g, 2g, 3g, …….. 100 g, are kept at the marks 1 cm, 2cm, 3 cm, ……. 100 cm respectively on a meter scale. Find the moment of inertia of the system of particles about a perpendicular bisector of the meter scale.

Particles of masses 1g, 2g, 3g, …….. 100 g, are kept at the marks

1.	Particles of masses 1g, 2g, 3g, …….. 100 g, are kept at the marks 1 cm, 2cm, 3 cm, ……. 100 cm respectively on a meter scale. Find the moment of inertia of the system of particles about a perpendicular bisector of the meter scale.
Answer» Solution :`[1xx49^(2)+2xx48^(2)+3xx47^(2)+……49xx1^(2)+52xx2^(2)+…….98xx48^(2)+99xx49^(2)+100xx50^(2)]10^(-7)` `= 100[50^(2)+49^(2)+48^(2)+…..+1^(2)]xx10^(-7)` `= 10^(-5)XX(1)/(6)xx50xx51xx101=0.43 KGM^(2)`