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A rod of length 3 m has its mass per unit length directly proportional to the distance x from one of its ends. At what distance from the same end will be its centre of mass?
Two particles A and B are connected by a rigid rod AB. The rod slides alog mutually perpendicular rails as shown in diagram. The velocity of A to the left is 10 m/s. What is the velocity of B when angle α = 60 degrees?
A thin wire of length L and uniform linear density ρ is bent into a circular loop with center at O as shown in figure. The moment of inertia of the loop about the axis XX' is
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"We know very little, and yet it is astonishing that we know so much and still more astonishing that so little knowledge can give us so much power." - Bertrand Russel
“The most incomprehensible thing about the world is that it is comprehensible” - Einstein
“It is more important to have beauty in the equations of physics than to have them agree with experiments”. - P. A. M. Dirac
"The chess-board is the world; the pieces are the phenomena of the universe; the rules of the game are what we call the Laws of Nature. The player on the other side is hidden from us. We know that his play is always fair, and patient. But also we know, to our cost, that he never overlooks a mistake, or makes the smallest allowance for ignorance" - Thomas Huxley
"Nature and Nature's laws lay hid in night,
God said "Let Newton be", and all was light." - Alexander Pope
"Big whirls have little whirls,
That feed on their velocity
And little whirls have lesser whirls,
An so on to viscosity" -- Lewis Richardson
"An ocean traveller has even more vividly the impression that
the ocean is made of waves that that it is made of water" - A.S. Eddington