A plank is held at an angle µ to the horizontal (Fig.) on two fixed supports A and B. The plank can slide against the supports (without friction) because of its weight Mg. With what acceleration and in what direction, a man of mass m should move so that the plank does not move.
down the incline
down the incline
up the incline
up the incline
Text Solution
Verified by ExpertsB
F.B.D. of man and plank are
For plank be at rest, applying Newton's second law to plank along the incline
Mg sin µ = f ..........................
and applying Newton’s second law to man along the incline.
mg sin µ + f = ma .......................
a = g sin µ 
down the incline
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