PhysicsParticles of masses m, 2m, 3m,…… nm grams are placed on the same line at distances l, 2l, 3l, …. nl cm from a fixed point.  The distance of centre of mass of the particles from the fixed point in centimetres is

Particles of masses m, 2m, 3m,...... nm grams are placed on the same line at distances l, 2l, 3l, .... nl cm from a fixed point.  The distance of centre of mass of the particles from the fixed point in centimetres is

  1. A

    (2n+1)l3

  2. B

    ln+1

  3. C

    n(n2+1)l2

  4. D

    2ln(n2+1)

    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:

    Given, the masses of the particle be m, 2m , 3m .... nm

    and line at distance l, 2l, 3l,.....nl

    COM=m1x1+m2x2+m3x3.......+mnxnm1+m2+m3+.......+mn

    COM=12ml+22ml+32ml+.......+n2ml21m+2m+3m+.......+nm

    COM=ln(n+1)(2n+1)6n(n+1)2=l.(2n+1)3

    Hence the correct answer is l(2n+1)3.

     

    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.