The smallest allowable depth is
for the milled portion of bar.
<u>Explanation:</u>
Given,
Magnitude of force,


Allowable stress,
cross sectional area of bar,


e - eccentricity

The internal forces in the cross section are equivalent to a centric force P and a bending couple M.



Allowable stress


Moment of Inertia,









By substituting values we get,


On solving above equation we get,

Answer:
2
Explanation:
So for solving this problem we need the local heat transfer coefficient at distance x,

We integrate between 0 to x for obtain the value of the coefficient, so
Substituing

The ratio of the average convection heat transfer coefficient over the entire length is 2
Answer:
The density of the unknown liquid is 1.025 kg/m³ (considering the density of the water as 1.000 kg/m³)
Explanation:
The hydrometer works by the Archimedes principle. The cylinder floats in the liquid because the hydrostatic thrust is equal to the weight force. This means:

If we measure 2 fluids, the weight of the hydrometer is the same, so:

If the original watermark height is 12.3cm (H₁) and the mark for water has risen 0.3 cm above the unknown liquid–air interface, the height of the unknown liquid mark is 12cm (H₂). Therefore:
