Two blocks of masses $$25$$ kg and $$5$$ kg are placed on a horizontal table as shown in figure. A massless string passes over a frictionless and massless pulley whose one end is connected to $$25$$ kg block and the other end is connected to block M. The coefficient of friction between two blocks is μ$$=0.3$$ and between the $$5$$ kg block and ground is zero. The system is released from rest. If M $$=$$ $$45$$ kg the force of friction between two blocks (in$$ $$N) $$is__________$$ (Take$$ g $$=$$ $$10$$ $$m/s2)

Question

Two blocks of masses $$25$$ kg and $$5$$ kg are placed on a horizontal table as shown in figure. A massless string passes over a frictionless and massless pulley whose one end is connected to $$25$$ kg block and the other end is connected to block M. The coefficient of friction between two blocks is μ$$=0.3$$ and between the $$5$$ kg block and ground is zero. The system is released from rest. If M $$=$$ $$45$$ kg the force of friction between two blocks (in$$ $$N) $$is__________$$ (Take$$ g $$=$$ $$10$$ $$m/s2)

Infinity Learn · Accepted Answer

Let say all blocks are moving with same acceleration and friction is static (no$$ $$slipping).45g$$−$$T=45a$$............$$(1)T$$−$$f=25a$$...............$$(2)f=5a$$.......................$$(3)⇒$$45g=75a$$⇒$$a=45g75=6ms$$−$$2So$$, $$f=56=30NLimiting$$ Friction $$fL=$$μ$$25g=75NSince$$  f

Friction

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Friction

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Let say all blocks are moving with same acceleration and friction is static (no slipping).45g−T=45a............(1)T−f=25a...............(2)f=5a.......................(3)⇒45g=75a⇒a=45g75=6ms−2So, f=56=30NLimiting Friction fL=μ25g=75NSince f<fL So, f is static =30N

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