ISRO Scientist or Engineer Mechanical 2009

Instructions

For the following questions answer them individually

Question 21

Two particles with masses in the ratio 1:4 are moving with equal kinetic energies. The magnitude of their linear momentums will conform to the ratio

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Question 22

Whichof the following stresses are associated with the tightening of a nut on a stud?
1. Tensile stresses due to stretching of stud
2. Bending stresses of stud
3. Transverse shear stresses across threads
4. Torsional shear stresses in threads due to frictional resistance
Select the correct answer using the codes given below:

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Question 23

A flywheel weighs $$\frac{981}{\pi}kg$$ and has a radius of gyration of 100 cm. It is given a spin of 100 rpm aboutits horizontal axis. The whole assembly is rotating abouta vertical axis at 6 rad/sec. The gyroscopic couple experienced will be

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Question 24

Determine the diameter of solid shaft which will transmit 90kw at 160 rpm, if the shear stress in the shaft is limited to $$60 N/mm^2$$.

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Question 25

A roller of weight W is rolled over the wooden block shown in the given figure. The pull required just to cause the said motion is

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Question 26

For one-dimensional isentropic flow in a diverging passage,if the initial static pressure is $$P_1$$), and the initial Mach numberis $$M_1 (M_1 < 1),$$ then for the downstream flow

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Question 27

Ina furnace madeof bricks,
Inside heat transfer coefficient = $$35 W/m^2 K$$
Outside heattransfér coefficient = $$25 W/m^2 K $$
Thermal conductivity of bricks (15 cm thick) = $$0. 15 W/m K$$
The overall heat transfer coefficient $$(in W/m^2 K)$$ will be closer to the

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Question 28

Two systems have the same wet bulb temperature of $$20^\circ C.$$ System ‘A’ has Dry bulb temperature of $$25^\circ C$$ since it has a relative humidity of 65%. System ‘B’ has a relative humidity of 30%. What will be its dry bulb temperature

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Question 29

Four rods with different radii r and length l are connected to two reservoirs at different temperature. Which one of them will conduct most heat?

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Question 30

A 1000 kg vehicle travelling at 80 m/s impacts a plunger attached to a piston-cylinder arrangement.If all of the energy of the vehicle is absorbed by the 20 kg of liquid contained in the cylinder, what is the maximum tempcrature rise of the liquid? (The specific heat of the liquid is $$4.0 kJ/kg.^\circ C)$$

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