a body of dimension 10m (length)× 3m (breadth)× 5m (height) is lying on the force how it should be kept so that exerts maximum pressure on the floor?
Answers
Answer:
we should keep it on its breadth
Explanation:
hope it will help you.
Given info : a body of dimension 10m (length) × 3m (breadth) × 5m (height) is lying on the force.
To find : how it should be kept so that exerts maximum pressure on the floor ?.
solution : pressure is the force acting on the surface per unit area.
i.e., pressure = force/area
in above case, force = weight of body (constant)
so, pressure = weight of body/area
∴ pressure ∝ 1/area
here you see, pressure is inversely proportional to area.
it means, pressure will be maximum if area is minimum.
now when will area minimum ?
we have given,
Length = 10 m, breadth = 3 m and height = 5m
here, length × breadth = 10 × 3 = 30 m²
breadth × height = 3 × 5 = 15 m²
height × length = 5 × 10 = 50 m²
we see, breadth × height = 15m² is minimum, isn't it ?
Therefore the pressure will be maximum when the face of body is breadth × height lying on the floor.