ISRO Scientist or Engineer Mechanical 2013

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

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

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

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

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

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

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

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

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

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