The pulley shown in figure has a radius 10 cm and moment of inertia 0.5 kg-m^2 about its axis. Assuming the inclined planes to be frictionless, calculate the acceleration of the 4.0 kg block.

The pulley shown in figure has a radius 10 cm and moment of inertia 0.

1.	The pulley shown in figure has a radius 10 cm and moment of inertia 0.5 kg-m^2 about its axis. Assuming the inclined planes to be frictionless, calculate the acceleration of the 4.0 kg block.
Answer» Correct Answer - 4 `(T_(1)-T_(1))R=Ialpha` `(T_(2)-T_(1))R=I(a/R)to(i)` `4g sin 45^(@)-T_(2)=4ato(ii)` `T_(1)=2g sin 45^(@)=2ato(iii)` Solving (i), (ii),(iii) we get `a=0.25 m//s^(2)`

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The pulley shown in figure has a radius 10 cm and moment of inertia 0.5 kg-m^2 about its axis. Assuming the inclined planes to be frictionless, calculate the acceleration of the 4.0 kg block.

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