Answer to question no. 36
Acc to eq. Mg -T1 = Ma .......... ( 1 )
( T1 - T2) R = Ia/R
( T1 - T2 ) = Ia/R^2 .......... ( 2 )
( T2 - T3 ) R = Ia/R^2 .......... ( 3 )
T3 - mg = ma .......... ( 4 )
By adding eq ( 2 ) & ( 3 ),
( T1 - T3 ) = 2Ia/R^2 .......... ( 5 )
By adding eq ( 1) & ( 4 ),
-mg + Mg + ( T3 - T1 ) = Ma + ma ........ ( 6 )
Substituting the value of T3 - T1 ,
Mg - mg = Ma + ma + 2Ia/R^2
a = ( M - m )g/ ( M + m + 2I/R^2 )
Moderation Team
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