A particle of mass m is executing the damped oscillations. Which of the following statements regarding the damped oscillations are true? 1. The amplitude of underdamped oscillations decays exponentially with time. 2. The trajectory of the particle executing the overdamped oscillations decreases monotonically to zero. 3. In overdamped oscillations, the particle overshoots the origin multiple times if the motion towards the origin is relatively quick. 4. The weak damping limit in the damped oscillations is →∞. Here, is the angular frequency of undamped oscillations and is relaxation time. Select the correct answer choice:
A particle of mass m is executing the damped oscillations. Which of the following statements regarding the damped oscillations are true? 1. The amplitude of underdamped oscillations decays exponentially with time. 2. The trajectory of the particle executing the overdamped oscillations decreases monotonically to zero. 3. In overdamped oscillations, the particle overshoots the origin multiple times if the motion towards the origin is relatively quick. 4. The weak damping limit in the damped oscillations is →∞. Here, is the angular frequency of undamped oscillations and is relaxation time. Select the correct answer choice:
Related questions
Question
Transcribed Image Text:A particle of mass m is executing the damped oscillations. Which of the following
statements regarding the damped oscillations are true?
1. The amplitude of underdamped oscillations decays exponentially with time.
2. The trajectory of the particle executing the overdamped oscillations decreases
monotonically to zero.
3. In overdamped oscillations, the particle overshoots the origin multiple times if the
motion towards the origin is relatively quick.
4. The weak damping limit in the damped oscillations is 0,7→∞0. Here, is the
angular frequency of undamped oscillations and is relaxation time.
Select the correct answer choice:
(a) 1 and 2
(b) 2 and 4
(c) 1,3, and 4
(d) 1,2, and 4
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images
