A plank having mass M is placed on smooth horizontal surface. Block of mass m is placed on it coefficient of friction between block and plank is μ$$0+kx2$$, where k is constant and x is relative displacement between block and plank. A force F is applied on block where F $$=$$ at, where a $$=$$ $$10$$; t is in second. Find $$t0$$ when relative motion will occur between block and plank

Question

A plank having mass M is placed on smooth horizontal surface. Block of mass m is placed on it coefficient of friction between block and plank is μ$$0+kx2$$, where k is constant and x is relative displacement between block and plank. A force F is applied on block where F $$=$$ at, where a $$=$$ $$10$$; t is in second. Find $$t0$$ when relative motion will occur between block and plank

Infinity Learn · Accepted Answer

Let at time $$t0$$ relative motion will occurμ$$0mg=Ma$$    ......(1)10$$ $$t0$$−μ$$0mg=ma$$   .......$$(2)From$$ $$(1) and (2) ; $$t0=$$μ$$0m+$$μ$$0m2M$$

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