A rolling disk of radius ‘R’ and mass ‘M’ is connected to one end of a linear spring of stiffness ‘K’ as shown in figure. The natural frequency of oscillation is given by:
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Solution
If the speed of engine varies between 390 rpm and 410 rpm in a cycle of operation,then the coefficient of fluctuation of speed will be ________.
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Solution
In a reaction turbine,the enthalpy drop in a stage is 60 units.The enthalpy drop in the moving blader is 32 units. Then, the degree of reaction will be ________.
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Solution
In a redundant truss, number of member are
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Solution
In a redundant truss,
number of members (n) > 2j – 3
where,j = Number of joints
Which one of the following factor is most relevant to show complete solubility of two metals in each other.
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Solution
Complete solubility of metals in each other depends mostly on their crystal structure.
Starting from x0= 1, one step of Newton-Raphs on method in solving the equation x3+ 3x –7 =0 gives the next value of x1 as ________.
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Solution
The degree of the differential equation satisfying \(\sqrt{1-x^{2}}+\sqrt{1-y^{2}}=a(x-y)\) is_________ .
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Solution
Match the correct pairs
Numerical Integration Order of Fitting
Scheme
P.Simpson’s 3⁄8 Rule 1.First
Q.Trapezoidal Rule 2.Second
R.Simpson’s 1⁄3 Rule 3.Third
The inverse Laplace transform of \(\frac{1}{s^{2}+s}\) is
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Solution
Changing the order of the integration in the double integral \(I=\int_{0}^{8}\int_{x/4}^{2}f(x,y)dy\, dx\) leads to \(I=\int_{r}^{s}\int_{p}^{q}f(x,y)dydx\) What is q?
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Solution