A classical mechanics problem by Abhiram Rao

A block of mass M M is pulled along a horizontal frictionless surface by a rope of mass m m . If a force P P is applied at the free end of the rope, the force exerted by the rope on the block will be __________ \text{\_\_\_\_\_\_\_\_\_\_} .

PM/M+m Pm/M+m P PM/M-m

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1 solution

Rishab Pramodh
Jan 12, 2018

L e t t h e t e n s i o n i n t h e r o p e c o n n e c t i n g b l o c k M a n d b l o c k m b e T " , a n d t h e a c c e l e r a t i o n o f b o t h t h e b l o c k s b e a . a = P ( m + M ) T = M P ( m + M ) . Let\quad the\quad tension\quad in\quad the\quad rope\quad connecting\quad block\quad M\quad and\quad block\quad m\quad be\quad 'T",\quad and\quad \\ the\quad acceleration\quad of\quad both\quad the\quad blocks\quad be\quad 'a'.\\ \\ \\ \therefore \quad a\quad =\quad \frac { P }{ (m+M) } \\ \\ ⇒\quad T\quad =\quad \frac { MP }{ (m+M) } .

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