Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
3.9k views
in Physics by (355 points)

Please log in or register to answer this question.

1 Answer

0 votes
by (60.8k points)

Theorems of Moment of Inertia

  • There are two general theorems which proved themselves to be of great importance on moment of inertia
  • These enable us to determine moment of inertia of a body about an axis if moment of inertia of body about some other axis is known.

Perpendicular Axis Theorem 

The moment of inertia (MI) of a plane area about an axis normal to the plane is equal to the sum of the moments of inertia about any two mutually perpendicular axes lying in the plane and passing through the given axis. 

That means the Moment of Inertia Iz = Ix+I

Parallel Axis Theorem 

The moment of area of an object about any axis parallel to the centroidal axis is the sum of MI about its centroidal axis and the prodcut of area with the square of distance of from the reference axis. 

Essentially, IXX= IG+Ad2 

A is the cross-sectional area. d is the perpendicuar distance between the centroidal axis and the parallel axis. 

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...