JEE Exam  >  JEE Questions  >  Two masses m and m are suspended together by ... Start Learning for Free
Two masses m₁ and m₂ are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m₁ is removed without disturbing the system, then the angular velocity of oscillation of m₂ is
  • a)
    √k/m₁
  • b)
    √k/m₂
  • c)
    √k/m₂ +m₁
  • d)
    √k/m₁+m₂
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two masses m and m are suspended together by a massless spring of spri...
The system can be modeled as a simple harmonic oscillator with a reduced mass of m/2. When the mass m is removed, the remaining mass m/2 will continue to oscillate with the same frequency as before, but with a smaller amplitude since the total energy of the system has decreased.

The angular frequency of the oscillator is given by:

ω = √(k/m_eff)

where m_eff is the reduced mass of the system. Initially, m_eff = m/2, so the initial angular frequency is

ω_1 = √(k/(m/2)) = √(2k/m)

After m is removed, the reduced mass becomes m, so the new angular frequency is

ω_2 = √(k/m)

The ratio of the two frequencies is:

ω_2/ω_1 = √(m/2m) = 1/√2

Therefore, the angular velocity of oscillation of m after m is removed is reduced by a factor of 1/√2 compared to its initial value.
Explore Courses for JEE exam
Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two masses m and m are suspended together by a massless spring of spring cosntant k. When the masses are in equilibrium, m is removed without disturbing the system, then the angular velocity of oscillation of m isa)√k/mb)√k/mc)√k/m +md)√k/m+mCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

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