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Expalin the motion of blocks connected by a string (i) verticla motion (ii) Horizontal motion |
Answer» Solution : Verticalmotion : Let us considertwoblocksof masses `m_(1)` and `m_(2) (m_(1) gtm_(2))`connectedby alightandinextensiblestringthatpassesovera pulley  Let thetensionin thestringbe Tand ACCELERATION aWhenthe systemisreleasedboth theblocksboth thestartmoving`m_(2)`verticallyupwardwithsameaccelerationa. The gravitationalforce `m_(1)`gon MASS `m_(1)` is usedto lift the mass `m_(2)` theupwarddirection is selectedas YDIRECTION. the free bodydiagrams ofbothmasses.  Horizontal motion : in this case mass `m_(2)` is kept on a horizontal table and mass `m_(1)`is hanging through a smalll pulley it is assumed that there is no friction on the surface  As both the blocks are connectedto the unstrechable stringif `m_(1)` moves with an acclereation a downward athen `m_(2)`also moves iwth the same acceleration a horizontally The forces acting on mass `m_(2)`are (i) horizontal tension (T) exerted by the string (ii) upward normal force (N) exerted by the surface (III) Downard normal gravitational force `(m_(2)g)` The forces acting on mass `m_(1)` are (i)Tension (T) acting upwards (ii) Downward gravitational force `(m_(1)g)` the free body diagrams for both the masses is 
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