Practice Examples and Applications - 7 | Rigid Body Motion in the Plane | Engineering Mechanics
K12 Students

Academics

AI-Powered learning for Grades 8โ€“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 skillsโ€”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 relating velocity and angular velocity for a rolling object?

๐Ÿ’ก Hint: Think about how rolling involves both linear and angular motion.

Question 2

Easy

Describe one scenario where rotary motion is observed.

๐Ÿ’ก Hint: Consider everyday objects that roll or spin.

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 relationship defines rolling motion without slipping?

  • v<sub>CM</sub> = ฯ‰
  • v<sub>CM</sub> = Rฯ‰
  • v<sub>CM</sub> = 2Rฯ‰

๐Ÿ’ก Hint: Think about how the distance traveled relates to the rotation.

Question 2

True or False: The angular momentum of a rigid body only changes if it is acted upon by an external torque.

  • True
  • False

๐Ÿ’ก Hint: Reflect on Newton's laws in relation to rotation.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A wheel with radius 0.5 m rolls down a hill height of 2 m. What is its final speed at the bottom assuming no energy losses?

๐Ÿ’ก Hint: Break down energy conservation into parts!

Question 2

Analyze a uniform rod of length l swinging from a pivot. Determine the angular velocity at the lowest point if released from a height h.

๐Ÿ’ก Hint: Remember the difference between translational and angular forms of energy.

Challenge and get performance evaluation