Physics, 05.02.2020 10:55 bobiscool3698
We can describe a nonrelativistic closed string fairly accurately by having the string wrapped around a cylinder of large circumference 27 r on string tension to. we assume that the string out experiencing any friction. let x be a coordinate along the circumference of the cylinder: x + 27t r and let y be a coordinate perpendicular to x, thus running parallel to the axis of the cylinder. as expected, the general solution for transverse motion is given by which it is kept taut by the can move on the surface of the cylinder with- x у(х, 1) — һ+(x — vot) + h-(x + vot), _ where h+(u) and h-(v) are arbitrary functions of single variables u and v with го/ мо- u, v < 0. the string has mass per unit length juo, and vo -oo (a) state the periodicity condition that must be satisfied by y(x, t) on account of the iden- tification that applies to the x coordinate. show that the derivatives h (u) and h' (v) respectively, periodic functions of u and v are, (b) show that one can write h+ (u) — си + f (u), h-(v) bv g(v), where f and g are periodic functions and a and b are constants. give the relation between o and b that follows from (a) (c) calculate the total momentum carried by the string in the y direction. is it conserved?
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Unpolarized light of intensity i_0=750w/m^2 is incident upon two polarizers. after passing through both polarizers the intensity is i_2=280w/m^2. (a) what is the intensity of the light after it passes through the first polarizer in w/m^2? (b) write an equation for the angle between the polarizers in terms of the initial (i_0) and final (i_2) intensities. (c) find the angle between the polarizers in degrees.
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We can describe a nonrelativistic closed string fairly accurately by having the string wrapped aroun...
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