Two blocks of masses m and $$2m$$ are kept on a smooth horizontal surface. They are connected by an ideal spring of force constant k. Initially, the spring is unstretched. A constant force is applied to the heavier block in the direction as shown in figure. Suppose at time t, displacement of smaller block is x, then displacement of the heavier block at this moment would be

Question

Infinity Learn · Accepted Answer

$$XCM=mx+2mx2mm+2m$$∴        $$12aCMt2=x+2x2m3$$∴    $$32F3mt2=x+2x2m$$                                 [∵ $$F=MaCM$$]∴                    $$x2m=Ft24m-x2$$

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