PhysicsA spring of unstretched length l has a mass m with one end fixed to a rigid support. Assuming spring to be made of a uniform wire, the kinetic energy possessed by it if its free end is pulled with uniform velocity ν is: 

A spring of unstretched length l has a mass m with one end fixed to a rigid support. Assuming spring to be made of a uniform wire, the kinetic energy possessed by it if its free end is pulled with uniform velocity ν is: 

  1. A

    122

  2. B

    132

  3. C

    2

  4. D

    162

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Let linear mass density ω=ml

    dx element's velocity and x's distance from rigid support are,

    v'=vxl

    Now the mass of this element of thickness (dx)=ωdx=dm

    Kinetic energy of particle of thickness dx = 12dmv2

    KE=0L12ωdxvxL2

    KE=12mLv2L20Lx2dx

    KE=mv22L3x33L0

    KE=16mv2

    Hence the correct answer is 16mv2.

    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.