ISRO Scientist or Engineer Mechanical 2013

Instructions

For the following questions answer them individually

Question 41

In a heat exchanger, the hot liquid enters with a temperature of $$180^\circ$$ and leaves at $$160^\circ$$ C. C. The cooling fluid enters at $$30^\circ$$C and leaves at $$110^\circ$$ C. The capacity ratio of the heat exchanger is

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Question 42

A system of massesrotating in different parallel planesis in dynamic balance if —

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Question 43

A torsion bar with a spring constant ‘k’ is cut into ‘n’ equal lengths. The spring constant for each portion would be

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Question 44

Logarithmic decrement of a dampedsingle degree of freedom system is 6. If stiffness of the spring is doubled and massis madehalf, then logarithmic decrementof the new
system will be equal to

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Question 45

To ensureself locking in a screw jackit is essential that helix angle is

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Question 46

For a particular load distribution and support condition in a beam of length “L, bending momentat any section ‘x’ (O <x <L)is given by $$M(x) = Ax-Bx^{2}$$, where A and B are constants. The shear force in the beam will be zero at ‘x’ equal to

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Question 47

If A is $$\begin{bmatrix}8 & 5 \\7 & 6 \end{bmatrix}$$ then $$\mid {A^{121}-A^{120}} \mid$$ is

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Question 48

If Ais Square Matrix of order 3, then product of A and its transpose is

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Question 49

The Matrix A=$$\begin{bmatrix}0 & -4 & 1 \\4 & 0 & -5 \\-1 & 5 & 0 \end{bmatrix}$$ is

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Question 50

Vector a= 3i + 2j — 6k, vector b= 4i — 3j + k, angle between abovevectorsis

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