Recent content by faiz4000

In electrical circuits, VIcosθ is actual electrical power while VIsinθ is magnetic power. This expression looks very similar to W=FScosθ, the work done by a force relation. Is there some significance to FSsinθ in a similar way?

got it thanx.

Yes i get that. If I were finding the area of in 2D, i would draw lines parallel to x or y-axis and find the curves between which they lie. These would be the limits of inner integral. then i find the lowest and highest value of the outer integral and that becomes the limits for it... but in 3D...

thanx for your help

those were eqn numbers...eqn 1 and eqn 3... I had left space but it didn't reflect in the post...I found my mistake... it was in solving the simultaneous eqns...you actually get X=(s+1)/(s^2+4) Y=-s/(s^2+4)

Homework Statement By using triple integral, find the volume of the tetrahedron bounded by the coordinate planes and the plane 2x+3y+2z=6.Homework Equations Volume= ∫vdv=∫∫∫dxdydz The Attempt at a Solution find intercepts of the plane on the axes, x-intercept=3 y-intercept=2...

Solving Simultaneous Differential Equations using Laplace Transform Homework Statement The coordinates (x,y) of a particle moving along a plane curve at any time t, are given by \frac{dy}{dt} + 2x=sin2t, \frac{dx}{dt} - 2y=cos2t If at t=0, x=1 and y=0, using Lapace transform show...

Sorry those fractions didn't come properly

Homework Statement The coordinates ##(x,y)## of a particle moving along a plane curve at any time t, are given by \frac{dy}{dt} + 2x=\sin 2t, \frac{dx}{dt} - 2y=\cos 2t. If at ##t=0##, ##x=1## and ##y=0##, using Lapace transform show that the particle moves along the curve 4x^2+4xy+5y^2=4...

thanks.

Homework Statement The displacement of a particle along x-axis given by x=A sin^2(wt), where the symbols have their usual meaning. Is the particle motion simple harmonic? also find its time period. Homework Equations simple harmonic eqn iss of the form x=Asin(wt) or x=acos(wt)...

How can wave optics explain total internal reflection?

yes, but there must be unified way that works in all situations. does somebody know the conventional rule written somewhere for the purpose?? your method of using the radius seems OK but do you know that its the proper way?

it seems an odd way to name figures. for other things we use a set of points to name other types of figures. for example, quadrilateral ABCD. shouldn't the circle be named like that too?

how do you name a circle? Obviously you could name it by its centre example a circle with centre at O would be called circle O. but what if you have two concentric circles?