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(D) Consider the frame of the trolley. The block $m$ experiences a pseudo force $ma_0$ to the left. The tension $T$ in the string balances the weight

Vedclass · Accepted Answer

All of the above.

Vedclass · Answer

(D) Consider the frame of the trolley. The block $m$ experiences a pseudo force $ma_0$ to the left. The tension $T$ in the string balances the weight $mg$ and the friction forces. When $a_0$ is small,the pseudo force is insufficient to hold $m$ against gravity,so it tends to slide down. $a_{min}$ is the threshold where friction acts upwards to prevent this.When $a_0$ is large,the pseudo force increases the normal force on the vertical surface,increasing friction. If $a_0$ exceeds $a_{max}$,the upward friction force is no longer enough to counteract gravity,or the system dynamics change such that $m$ moves upward relative to the surface.Within the range $a_{min} \leq a_0 \leq a_{max}$,the static friction force is sufficient to keep the block $m$ in equilibrium relative to the trolley.Thus,all statements are correct.

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