Mechanics : Which will hit first ?

Classical Mechanics Level pending

the two block given in the figure above are fully identical and the length of the string on both sides is same. find which of the events will happen first.

Given: the pulley, surfaces and strings are all ideal.

data insufficient A will hit the pulley first both will hit at the same time B will hit the surface first first

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1 solution

at every instant, the horizontal force on A (T) is greater than or equal to the force on B (T cos(Ө)) if the change in angle of string is Ө.

so at any instant , the velocity of A is grater then or equal to that of B.

so A will reach the pulley before B will reach the surface as their horizontal displacements are of same modulus

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