Practice Second Moment of Area (Moment of Inertia) - 7 | Mechanics of Beams | Mechanics of Deformable Solids
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for the moment of inertia of a rectangle?

πŸ’‘ Hint: Think about the base and height of the rectangle.

Question 2

Easy

Calculate the moment of inertia for a rectangular beam with dimensions 4 in (base) and 6 in (height).

πŸ’‘ Hint: Use the standard formula.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the Moment of Inertia for a circle with a diameter of 4 in?

  • (Ο€/32) * 4^4
  • (Ο€/64) * 4^4
  • (Ο€/2) * 4^4

πŸ’‘ Hint: Recall the standard formula for circles.

Question 2

True or False: A larger Moment of Inertia indicates a beam is less resistant to bending.

  • True
  • False

πŸ’‘ Hint: Think about what I represents.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A beam has a rectangular cross-section of 10 cm wide and 20 cm high. Calculate its Moment of Inertia about the neutral axis.

πŸ’‘ Hint: Use the rectangle moment of inertia formula.

Question 2

Determine the Moment of Inertia for a composite I-section beam where the flange is 5 cm wide and 2 cm thick and the web is 8 cm high and 1 cm thick. Calculate separately, then sum.

πŸ’‘ Hint: Break down into flange and web, apply the rectangle formula.

Challenge and get performance evaluation