If the annular wheel of an epicyclic gear train has 100 teeth and the planet wheel has 20 teeth, the number of teeth on the sun-wheel is ________.
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Solution
Given : Teeth on annular wheel (TA) = 100
Teeth on planet wheel (TP) = 20
TA= 2 TP + TS [where TS = Teeth on sun wheel]
100 = 2 × 20 + TS
TS= 100 – 40 = 60
If I =mass moment of inertia, w = average rotational speed, k= coefficient of fluctuation of speed K = coefficient of fluctuation of speed, then the maximum fluctuation of energy during a cycle for flywheel is:
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Solution
In rolling operation, the maximum draft is given by the following formula(where r = roll radius, μ =coefficient of friction):
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Solution
Maximum possible draft = µ2r
Tempering is a process of annealing:
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Solution
Tempering is a heat-treatment process which is performed by controlling the heating operation of quenched work piece to a temperature below lower critical temperature. Further heating above their temperature is avoided to protect the very strong and tough martensitic microstructure.
The strain energy with respect to bending of a cantilever beam, where L = Length of beam, I= Moment of inertia and E= Young’s modulur of elasticity, will be:
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Solution
If \(\frac{d^{2}y}{dx^{2}}+5\frac{dy}{dx}+6y=0\) ,then
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Solution
D2+ 5 D + 6 =0
D2+ 2D +3D + 6= 0
D(D +2)+ 3(D + 6) = 0
D = –2, –3
y =c1 e–2x+ c2 e–3x
Value of \(\underset{x\rightarrow \infty }{lim}x^{n}e^{-x}\) is_______ .
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Solution
The residue of z cos 1⁄z at z = 0 is
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Solution
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Solution
Let A and B be non-singular square matrices of the same order.Consider the following statements.
(I)(AB)T= ATBT.
(II)(AB)–1= B–1 A–1
(III)adj(AB) = (adj A) (adj B)
(IV)ρ(AB) = ρ(A)ρ(B)
(v)|AB| = |A| . |B|
Which of the following statements are false?
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Solution
(AB)T= BTAT.
(AB)–1= B–1 A–1
adj(AB) = adj B adj A
ρ(AB) ≠ ρ(A) ρ(B)
|AB| = |A| . |B|