Two blocks M and m are tied together with an ideal string. The mass M is on the horizontal surface and the mass m is hanging vertically against a vertical wall as shown in the figure. The coefficient of friction at all surfaces in contact is µ and the pulley is ideal.

(i) If T is tension in the string then –
Text Solution
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(i) : If the blocks remain stationary then mg < µMg
Or m < µ M
then T = mg
( ii) : If the system is placed in lift which is accelerating downwards then normal reaction of M decrease therefore friction on it decreases. System will acceleration only if
m (g – a) > µ M (g – a)
or m > µ M
(iii) : If lift has downward acceleration g then blocks will fall freely and tension, frictional force becomes zero.
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