A plant is held at an angle α to the horizontal (figure) on two fixed supports A and B. The plank can slide against the supports (without friction) because of it's weight Mg. Acceleration and direction in which a man of mass m should move so that the plank does not move –
A
g sin α 
down the incline
down the incline
B
g sin α 
down the incline
down the incline
C
g sin α 
up the incline
up the incline
D
g sin α 
up the incline
up the incline
Text Solution
Verified by ExpertsThe correct answer is:
B
F.B.D. of man and plank are
For plank to be at rest, applying Newton's second law of plank along the incline
Mg sin α = f ….. (1)
and applying Newton's second
law of man along the incline
Mg sin α + f = ma …..(2)
a = g sin α 
down the incline
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