Mathematics · Differential Equations
A mass-spring-damper system is modeled by the differential equation: m x"(t) + c x'(t) + kx(t) = F(t) where m is mass, c is the damping coefficient, k is the spring constant, F(t) is the external force, and x(t) is displacement. The system is subjected to a unit step input F(t) = 1 for t ≥ 0. If the damping ratio ζ = 0.5 and the natural frequency ωn = 2 rad/s, what is the peak time Tp of the system's response?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1π2 seconds
- 2π√3 seconds✓
- 3π4 seconds
- 4π3 seconds
Correct answer
π√3 seconds
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Differential Equations MCQs →Want more practice questions on Differential Equations?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Differential Equations