A monkey of mass $$25$$ kg is holding a vertical rope. The rope does not break, if a body of mass $$30$$ kg issuspended from it, but the rope breaks, if the mass of the body suspended with the rope exceeds $$30$$ kg. What will be the maximum acceleration with which the monkey can climb up along the rope? (Take$$, g $$=$$ $$10$$ $$ms-2) [JCECE $$2012$$]

Question

A monkey of mass $$25$$ kg is holding a vertical rope. The rope does not break, if a body of mass $$30$$ kg issuspended from it, but the rope breaks, if the mass of the body suspended with the rope exceeds         $$30$$ kg. What will be the maximum acceleration with which the monkey can climb up along the rope? (Take$$, g $$=$$ $$10$$ $$ms-2)  [JCECE $$2012$$]

Infinity Learn · Accepted Answer

The maximum weight which can be suspended with the rope without breaking it $$=$$ $$30$$ $$kg-wt$$.or  $$Fmax=30$$×$$10=300$$ N∴  $$300=mg+ma$$⇒  $$ma=300-mg=300-25$$×$$10=50$$ N⇒  $$a=50m=5025=2$$ $$ms-2$$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material