• # question_answer Two blocks of mass M and m are kept on the trolley whose all surfaces are smooth. Select the correct statement A) If F = 0 blocks cannot remain stationaryB) For one unique value of F, blocks will be stationaryC) Blocks cannot be stationary for any value of F because all surfaces are smoothD) Both (1) and (2)

Correct Answer: D

Solution : Let us assume that the blocks do not move with respect to the trolley if the acceleration of the trolley is A. Making observations with respect to ground: $F=(M+m+{{m}_{o}})A\Rightarrow A=\frac{F}{(M+m+{{m}_{o}})}$ Making observations with respect to the trolley: $T=MA,T=mg$ $\Rightarrow$$MA=mg\Rightarrow \frac{MF}{(M+m+{{m}_{o}})}=mg$ $\therefore$    $F=\frac{(M+m+{{m}_{o}})mg}{M}$ Thus for $F=\frac{(M+m+{{m}_{o}})mg}{M}$the blocks remain at rest with respect to the trolley. From above relations for F = 0, A = 0 and T = 0, so the blocks move with respect to the trolley if F=0. Hence, the correction option is (d). LIMITED OFFER HURRY UP! OFFER AVAILABLE ON ALL MATERIAL TILL TODAY ONLY!

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