Question

7) In a village a 10 litre vessel is attached to a rope which is wound and unwound over a cylinder rotating against its own axis. This arrangement is fixed on the wall of a well. The water surface is 12 m below the cylinder. Initially the rope is fully wound on the cylinder show that its free end and the vessel is at the cylinder. A boy used the arrangement to draw 30 litre water out of the well. Comment on the motion of the vessel, the distance travelled and the displacement.

Answer 1

Answer:

he moment of inertia of the hollow cylinder about its geometric axis:

I=mr  

2

=3×0.4  

2

kgm  

2

 

The Torque developed is given by:

τ=rF=0.4×30Nm=12Nm

We know that the relation between the torque and angular acceleration is:

τ=Iα

⟹α=25rads  

−2

 

Thus linear acceleration(a)=rα=0.4×25m/s  

2

=10m/s  

2

Explanation: