Law of Machines
Describe briefly all the Law of Machines?
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Machines that are employed to lift a load are governed by the ‘Law of machines’ that states that the effort to be exerted on the machine (p) is associated to the weight (w) that it can lift as:
p = mw + c
Here m and c are the positive constants that are the features of machine.
In a series adding connection, two coupled coils have equivalent inductances LA; in a series opposing connection, LB. Determine an expression for M in terms of LA and LB. What does the outcome suggest?
Laplace equation (P. Laplace): For the steady-state heat conduction in 1-dimension, the temperature distribution is the explanation to Laplace's equation, which defines that the second derivative of temperature with respect to displac
Gauss' law for magnetic fields (K.F. Gauss): The magnetic flux via a closed surface is zero (0); no magnetic charges present; in its differential form, div B = 0
Coulomb: C (after C. de Coulomb, 1736-1806): The derived SI unit of an electric charge, stated as the quantity of charge shifted by a current of 1 A in a period of 1 s; it therefore has units of A s.
Right-hand rule: The trick for right-handed coordinate systems to establish which way the cross product of two three-vectors will be directed. There are some forms of this rule, and it can be exerted in many manners. If u and v are two vectors that ar
Olbers' paradox (H. Olbers; 1826): If the Universe is infinite, consistent, and unchanging then the whole sky at night would be bright -- concerning as bright as the Sun. The further you stared out into space, the more stars there would be, and theref
Constancy principle (A. Einstein): One of the postulates of Sir Einstein's special theory of relativity that puts forth that the speed of light in vacuum is computed as similar speed to all observers, in spite of of their relative mot
What do you mean by the term nucleus? Describe in brief.
Biot-Savart law (J.B. Biot, F. Savart) - The law which explains the contributions to the magnetic field by an electric current. This is analogous to the Coulomb's law. Mathematically: dB = (mu0 I)/(4 pi r2) dl cross e
Fermat's principle: principle of least time (P. de Fermat): The principle, put onward by P. de Fermat that explains the path taken by a ray of light among any two points in a system is for all time the path which takes the least time.
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