Two blocks A and B of masses $$m1$$ and $$m2$$ , also $$m1$$ $$=$$ $$7.5m2$$ are connected by a light inextensible string passes over a smooth and light pulley at the top corner of a long carriage as shown in the figure. The upper surface of the carriage is frictionless and vertical side is rough. The carriage moves with an acceleration (g/7) towards right. If the blocks remain stationary with respect to the carriage, the coefficient of friction between the block B and the vertical side of the carriage is

Question

Two blocks A and B of masses $$m1$$ and $$m2$$ , also $$m1$$ $$=$$ $$7.5m2$$ are connected by a light inextensible string passes over a smooth and light pulley at the top corner of a long carriage as shown in the figure. The upper surface of the carriage is frictionless and vertical side is rough. The carriage moves with an acceleration (g/7) towards right. If the blocks remain stationary with respect to the carriage, the coefficient of friction between the block B and the vertical side of the carriage is

Infinity Learn · Accepted Answer

a pseudo force acting on both the masses towards left and this force on $$m2$$ will press it to the left wall produce frictional force help it prevent sliding down. for $$m1m1g7$$ $$=T$$   tension in the string at equilibrium for   $$m2$$        $$T-m2g$$ $$=$$μ$$m2a$$  substiuting the value of T from previous $$equationm1g7-m2g=$$μ$$m2g7$$  putting $$m1=7.5$$ $$m27.5$$ $$m2g7-m2g$$ $$=$$μ$$m2g7$$μ$$=0.5$$

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