Practice Equation of Motion - 3.3.2 | 3. Mathematically Model Dynamic Systems and Derive Transfer Functions | Control Systems
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 role of mass in a Mass-Spring-Damper system?

πŸ’‘ Hint: Think about what object is affected by the applied force.

Question 2

Easy

Name the three components of a Mass-Spring-Damper system.

πŸ’‘ Hint: Focus on what elements make up the system.

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 equation of motion for a mass-spring-damper system?

πŸ’‘ Hint: Remember to include the mass, damping coefficient, and spring constant.

Question 2

The damping coefficient affects the motion of the mass. True or False?

πŸ’‘ Hint: Think about the role of friction in stopping motion.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a mass of 5kg, a spring constant of 300 N/m, and a damping coefficient of 20 Ns/m, derive the equation of motion for this mass-spring-damper system when a force of F(t) = 50sin(2t) is applied.

πŸ’‘ Hint: Start by using Newton's second law to relate the mass, damping, and spring forces.

Question 2

How will the oscillation frequency change if the damping coefficient is reduced from 20 Ns/m to 5 Ns/m while keeping the mass and spring constant the same?

πŸ’‘ Hint: Consider how damping affects the oscillation period and frequency.

Challenge and get performance evaluation