QUESTIONS CARRY TWO MARKS EACH.
A 40 KW engine has a mechanical efficiency of 80%. If the frictional power is assumed to be constant with load,the approximate value of the mechanical efficiency at 50%of the rated load will be …………….
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Solution
QUESTIONS CARRY TWO MARKS EACH.
A link is under a pull which lies on one of the faces as shown in figure. The magnitude of maximum compressive stress in the link will be…………….
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Solution
QUESTIONS CARRY TWO MARKS EACH.
A short column of symmetric cross-section made up of abrittle material is subjected to an eccentric vertical load P at an eccentricity e. To avoid tensile stress in the short column, the eccentricity e should be less than or equal to:
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Solution
In case of rectangular section, there will be no tensile stress to be developed in the column if the eccentricity e is being applied in the limits of h/6.
QUESTIONS CARRY TWO MARKS EACH.
A differential pulley is subjected to belt tensions as shown in figure. The resulting force and the moment when transferred to the center of the pulley are ________
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Solution
QUESTIONS CARRY TWO MARKS EACH.
If average arrival rate in a queue is 6/h and the average service rate in 10/h, which one of the following is the average number of customers in the line, including the customer being served ?
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Solution
Using the following formula,
ω = L/a
where, ω = Average time a customer spends in system
L = Average number of customer in system
a= Average rate of customer arrivals
QUESTIONS CARRY TWO MARKS EACH.
The real part of an analytic function f (z), where z= x+ j y is given by e– y cos (x). The imaginary part of f (z) is
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Solution
QUESTIONS CARRY TWO MARKS EACH.
Consider an unbiased cubic dice with opposite faces coloured identically and each face coloured red, blue orgreen such that each colour appears only two times on the dice. If the dice is thrown thrice, the probability of obtaining red colour on top face of the dice at least twice is ……………. .
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Solution
QUESTIONS CARRY TWO MARKS EACH.
Equation ex– 1 = 0 is required to be solved using newton’s method with an initial guess x0= –1 Then after one step of newton’s method, estimate x, of the solutions will be given by
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Solution
f (x) = ex– 1 = 0
f '(x) = ex
QUESTIONS CARRY TWO MARKS EACH.
Consider the shaded triangular region P shown in the figure. What is \(\int \int_{P}\)xydxdy ?
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Solution
QUESTIONS CARRY TWO MARKS EACH.
The eigen value of the matrix \(\begin{bmatrix} 1 &2 \\ 0 & 2 \end{bmatrix}\) are written in the form \(\begin{bmatrix} 1\\ a \end{bmatrix}\) and \(\begin{bmatrix} 1\\ b \end{bmatrix}\). Then, the value of a + b is …………..
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Solution