Three blocks are kept as shown in the figure. The $$5$$ kg block is kept over $$3$$ kg block and the $$2$$ kg block touches $$3$$ kg block. The coefficient of friction µ between $$5$$ kg and $$3$$ kg blocks are µ $$=$$ $$0.1$$. The $$3$$ kg block is being pushed by force $$F1$$ $$=$$ $$30$$ N and the block $$2$$ kg is being pushed by force $$F2$$ $$=$$ $$10$$ N. The ground is smooth. Find the contact force between $$3$$ kg and $$2$$ kg block.

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Infinity Learn · Accepted Answer

If the $$5$$ kg block does not slip on $$3$$ kg block , acceleration of the system , $$a=F1$$−$$F210=2m/s2In$$ this case pseudo force on the $$5$$ kg block $$=$$ $$5$$×$$2$$ N $$=$$ $$10$$ N which is greater than maximum frictional force $$fmax=0.1$$×$$5$$×$$10$$ N  $$=5$$ N .Therefore $$5$$ kg block will slip on $$3$$ kg block .So acceleration of $$3$$ kg and $$2$$ kg blocks $$=$$ $$30$$ $$-$$ $$10-53+2$$ $$m/s2$$ $$=$$ $$3$$ $$m/s2$$∴contact force $$=$$ $$10$$ $$+$$ $$3$$ × $$2$$ $$=$$ $$16$$ N.

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