Q. 16

The surface density (mass/area) of a circular disc of radius α depends on the distance from the centre as p(r) =A +Br. Find its moment of inertia about the line perpendicular to the plane of the disc through its centre.

Answer :

The moment of inertia =


Given


The radius of the circular disc is “a”, and the distance from the center to the edge of the disc is given as. Hence to find moment of inertia we find the relationship mass and moment of inertia in terms of area.


Formula Used


The inertia of the body for a point of mass is the product of the square of the radius with the mass of the body. The formula is



where


I is the moment of Inertia, A is the area of the object and r is the radius of the object.


Explanation


The moment of inertia of a disc is






Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Pseudo ForcePseudo ForcePseudo Force52 mins
Inelastic collisions in 1 DInelastic collisions in 1 DInelastic collisions in 1 D44 mins
Elaborative Lecture on Constraint MotionElaborative Lecture on Constraint MotionElaborative Lecture on Constraint Motion59 mins
A Lecture on Head-on CollisionA Lecture on Head-on CollisionA Lecture on Head-on Collision49 mins
Motion in 1 DMotion in 1 DMotion in 1 D38 mins
Questions Based on Equilibrium of a particleQuestions Based on Equilibrium of a particleQuestions Based on Equilibrium of a particle37 mins
NLM HCV Objective | Interactive QuizNLM HCV Objective | Interactive QuizNLM HCV Objective | Interactive Quiz63 mins
Newton Laws of Motion (Lecture 7)Newton Laws of Motion (Lecture 7)Newton Laws of Motion (Lecture 7)45 mins
Moment of Inertia | Understanding the basicsMoment of Inertia | Understanding the basicsMoment of Inertia | Understanding the basics51 mins
Challenging Quiz on Newton Laws of Motion Part 3Challenging Quiz on Newton Laws of Motion Part 3Challenging Quiz on Newton Laws of Motion Part 364 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :