Class 11 Exam  >  Class 11 Questions  >  Two point masses of 3 Kg and 2 Kg are attache... Start Learning for Free
Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.
  • a)
    2.05 Hz
  • b)
    2.17 Hz
  • c)
    3.15 Hz
  • d)
    1.9 Hz
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two point masses of 3 Kg and 2 Kg are attached at the two ends of a ho...

View all questions of this test
Most Upvoted Answer
Two point masses of 3 Kg and 2 Kg are attached at the two ends of a ho...
Free Test
Community Answer
Two point masses of 3 Kg and 2 Kg are attached at the two ends of a ho...
Natural frequency of vibration is the frequency at which a system oscillates when it is disturbed from its equilibrium position and left to oscillate freely.

To find the natural frequency of the system consisting of two point masses attached to a horizontal spring, we can use the formula:

f = (1/2π) * sqrt(k/m)

where f is the frequency (in Hz), k is the spring constant (in N/m), and m is the total mass (in kg) of the system.

Given:
k = 200 N/m
m = 3 kg + 2 kg = 5 kg

Calculating the natural frequency using the formula:

f = (1/2π) * sqrt(k/m)
= (1/2π) * sqrt(200/5)
= (1/2π) * sqrt(40)
= (1/2π) * 2√10
= 1/π * √10
≈ 0.318 * 3.16
≈ 1.006 Hz

Therefore, the natural frequency of vibration of the system is approximately 1.006 Hz.

Comparing the calculated value with the given options, we can see that the closest option is 2.05 Hz (option A).
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Top Courses for Class 11

Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer?
Question Description
Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.a)2.05 Hzb)2.17 Hzc)3.15 Hzd)1.9 HzCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev