Too much variables?

Classical Mechanics Level 5

A cylindrical pulley of mass M M & radius R R is connected to another cylindrical pulley of mass M 2 \dfrac{M}{2} and radius R 2 \dfrac{R}{2} through a massless string as shown in figure. If sufficient string is wrapped over larger pulley, find the acceleration of mass M M attached to the smaller pulley, when whole system is released from rest.

A s s u m e t h e r e i s n o s l i p p i n g i n e i t h e r p u l l e y \large{Assume~there~is~no~slipping~in~either~pulley} .

Take g = 9.8 m s − 2 g=9.8~ms^{-2}


The answer is 3.92.

Purushottam Abhisheikh by Purushottam Abhisheikh , 24, India

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