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Imagine the situation in which the given arrangement is placed inside a trolley that can move only in the horizontal direction, as shown in figure. If the trolley is accelerated horizontally along the positive $x$ -axis with $a_0$, then Choose the correct statement $(s)$.
  • AThere exists a value of $a_0 = \beta$ at which friction force on block $M$ becomes zero
  • BThere exists two values of $a_0 = (\beta + \alpha )$ and $(\beta - \alpha )$ at which the magnitudes of friction acting on block $M$ are equal
  • CThe maximum value of static friction force acts on the block $M$ at two accelerations $a_1$ and $a_2$ such that $a_1 + a_2 = 2\beta$
  • D
    All of the above
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