GATE ME 2011

Stream line and equipotential line in a flow field are perpendicular to each other

The moist air in an airtight vessel is heated to a higher temperature. This process is treated as sensible heating. In sensible heating process, the relative humidity of the air decreases with increase in dry bulb temperature at constnat specific humidity
This process is shown on psychrometic chart in Fig.

\begin{aligned} \therefore \quad \mathrm{LMTD} &=\frac{\Delta T_{1}-\Delta T_{2}}{\ln \left(\frac{\Delta T_{1}}{\Delta T_{2}}\right)} \\ &=\frac{30-15}{\ln (2)}=21.64^{\circ} \mathrm{C} \end{aligned}

Let us assume the direction of R_{P} and R_{Q} as ,
upward. Now,
\therefore \quad R_{P}+R_{Q}=0
\therefore Taking moment about point Q we get:
\begin{aligned} R_{P} \times 1+1 &=0 \\ R_{P} &=-1 \mathrm{kN}\\ \therefore R_{Q}&=+1 \mathrm{kN} \end{aligned}
since our assume direction of R_{p} is wrong therefore
R_{P}=1 \mathrm{kN} which act in the down was direction
and R_{Q}=1 \mathrm{kN} acting in upward direction.

This is a special case because the link between & parallel to P and Q is redundant as its presence does not effect the mechanism. Hence the DOF is 1.

The main objective in rolling is to decrease the thickness of the metal.
The relation for the rolling is given by

F=\mu P_r

where,
F= tangential frictional force
\mu = Coefficient of friction
P_r= Normal force between the roll and work piece

Now, from the increase in \mu, the draft in cold rolling of sheet increases.

Operation in which oil is permeated into the pores of powder metallurgy product is known as impregnation.

It is case of transition fit
Since

Heat and work are path function. These are not point function.

Assuming both ends of column to be hinged. Given:
\begin{aligned} \qquad L_{\mathrm{eq}}&=1 \mathrm{m} \\ \text { Slenderness ratio }&=\frac{\mathrm{L}_{\mathrm{eq}}}{r_{\min }} \\ r_{\min }= \sqrt{\frac{I_{\min }}{A}}&=\frac{\sqrt{\frac{1}{12} \times(10)^{3} \times 20 \times 10^{-12}} }{10 \times 20 \times 10^{-6}}\\ &=2.88 \times 10^{-3}\\ \text{Slenderness }&=\frac{1}{2.88 \times 10^{-3}}=347.22 \approx 346 \end{aligned}