ISRO Scientist or Engineer Mechanical Dec 2017

Instructions

For the following questions answer them individually

Question 61

A carton carrying vessel of mass 10 tons (width = length = 5 m, height = 6 m), floats on water. The mass of contents of the vessel are symmetrically placed. If the vessel tilts by 0.01 radians by moving a 50 kg carton from the centre by a distance of 2 m towards side in horizontal direction, the metacentric height of the vessel is (g = 10m/s$$^2$$)

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Question 62

The maximum value of reduction in rolling process is
Where โ€˜Dโ€™ is roll diameter and โ€˜$$\alpha$$โ€™ is the angleof bite

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Question 63

Which of the following is TRUE for vibration of a mechanical system

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Question 64

What is the maximum rate that a heat pump which uses 1 kW of electric power can supply heat to a house at $$27^\circ C$$ when the outside temperature is $$12^\circ C$$

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Question 65

Evaluate $$\int_{0}^{1} \int_{0}^{1} \frac{1}{\sqrt{(1 - x^2)(1 - y^2)}} dxdy$$

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Question 66

White iron structure consists of

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Question 67

A cantilever beam of rectangular cross section (depth โ€˜dโ€™, width โ€˜bโ€™ & length โ€˜Lโ€™) is subjected to a shear force โ€˜Fโ€™ at its free end as shown in figure. The beam is made of material which follows maximum shear stress theory. Which of the following is TRUE?

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Question 68

A jet engine consumes 1 kgof fuel for each 40 kg ofair intake. Fuel consumption is 1 kg/sec. When aircraft travels in still air at 200 m/sec, velocity of discharge gases with respect to engine is 700 m/sec. The power developed by engine is

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Question 69

Which of the following is most appropriate for vapour power cycles?

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Question 70

Load Vs Displacement curve shown in the following figure pertains to

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