In the figure,two blocks $M$ and $m$ are tied together with an inextensible and light string. The mass $M$ is placed on a rough horizontal surface with coefficient of friction $\mu$ and the mass $m$ is hanging vertically against a smooth vertical wall. The pulley is frictionless. When the downward acceleration of the elevator becomes equal to $g$,then

  • A
    both the blocks remain stationary with respect to the elevator
  • B
    both the blocks accelerate vertically downwards with $g$ with respect to ground
  • C
    the tension in the string becomes equal to zero
  • D
    All of the above

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$A$ block of mass $15 \;kg$ is placed on a long trolley. The coefficient of static friction between the block and the trolley is $0.18$. The trolley accelerates from rest with $0.5 \;m s^{-2}$ for $20 \;s$ and then moves with uniform velocity. Discuss the motion of the block as viewed by
$(a)$ a stationary observer on the ground,
$(b)$ an observer moving with the trolley.

For the given system,find the value of ${\theta _1}$ in degrees.

What is the ratio of the accelerations of both systems?

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