The-linear-mass-density-i-e-mass-per-unit-length-of-the-rope-varies-from-0-to-from-one-end-to-another-The-acceleration-of-the-combined-system-will-be-

Question Number 22139 by Tinkutara last updated on 11/Oct/17

The linear mass density, i . e . mass per

unit length of the rope, varies from 0 to

λ from one end to another . The

acceleration of the combined system

will be

Commented by Tinkutara last updated on 11/Oct/17

Commented by ajfour last updated on 11/Oct/17

l e t m a s s o f r o p e b e m .

m = \int d m = \int_{0}^{L} μ d x = \int_{0}^{L} (\frac{λ x}{L}) d x

= \frac{λ x^{2}}{2 L} ∣_{0}^{L} = \frac{λ L}{2}

a c c e l e r a t i o n = \frac{F}{M + m}

a = \frac{2 F}{2 M + λ L} .

Commented by Tinkutara last updated on 11/Oct/17

Thank you very much Sir!