Home
Class 11
PHYSICS
Particles of masses 1g, 2g, 3g ….100g ar...

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

Text Solution

Verified by Experts


`I=50(0)^(2)+(49+51)(1)^(2)+(48+32)(2)^(2)+……+(1+99)(49)^(2)`
`=100[(1)^(2)+(2)^(2)+….+(49)^(2)]`
`=4.3xx10^(6)gm-cm^(2)=0.43kg-m^(2)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Exercise 12.2|4 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Exercise 12.3|4 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Solved Example|1 Videos

  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos

  • ROTATIONAL MOTION

    DC PANDEY|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

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

Two masses of 500 gram and 600 grams are attached to the 10 cm and 80 cm marks respectively of a light metre scale. The moment of inertia of this system about an axis passing through the centre of the scale will be

Three particles of masses 1gm, 2gm & 3gm are at 1cm, 2cm & 3cm from the axis of rotation respectively then the moment of inertia of the system & radius of gyration of the system respectively are …. gm cm^2 and ….. cm

Two masses of 3kg and 5kg are placed at 20cm and 70cm marks respectively on a light wooden meter scale. The M.I. of the system about an axis passing through 100 cm mark and perpendicular to the meter scale is

Two masses of 3kg and 5kg are placed at 20 cm and 70cm marks respectively on a light wooden meter scale. The M.I. of the system about an axis passign through 100cm mark and perpendicular to the meter scale is

Three particles of masses 1 g, 2g and 3 g are kept at points (2cm,0), (0.6 cm), (4cm, 3cm) find moment of inertia of all three particles (in gm -cm(2)) about (a) x-axis (b). Y-axis (c). Z-axis.

Three particles, each of mass 200 g are kept at the corners of an equilateral triangle of side 10 cm. Find the moment of inertia of the system about an axis a. joining two of the particles and passing through lone of the particle and perpendicular to the plane of the particles.

Three particles each of mass 12 g are located at the vertices of an equilateral triangle of side 10 cm. Calculate the moment of inertia of the system about an axis passing through the centroid and perpendicular to the plane of the triangle?