In the given Fig. 7.154 , two masses 2 kg each are attached to a string which passes over a smooth massless pulley P . The surface PQ is smooth and anglePQR = 45^(@) . The surface PR is rough , with coefficient of kinetic friction (1)/(sqrt3) and anglePRQ = 30^(@) .The acceleration of the system is :

In the given Fig. 7.154 , two masses 2 kg each are attached to a strin

1.	In the given Fig. 7.154 , two masses 2 kg each are attached to a string which passes over a smooth massless pulley P . The surface PQ is smooth and anglePQR = 45^(@) . The surface PR is rough , with coefficient of kinetic friction (1)/(sqrt3) and anglePRQ = 30^(@) .The acceleration of the system is :
Answer» `(g (sqrt2 - 1))/(2 sqrt2)` along PR zero because the masses are equal `(g)/(2)` along PR `(g (sqrt2 - 1))/(2 sqrt2)` along PQ SOLUTION :Mg sin `45^(@) - T= Ma "" …. (i) ` ` T + MU Mg cos 45^(@) - Mg sin 45^(@) = Ma "" …. (II)` Solving EQNS. (i) and (ii) , we get a .