Recent content by custer

got it from a slide in my lecture note.. no wonder ;P thank you :)

Why does Emec= P/\rho + v^2/2 + gz ? The units resulting from the three expressions are m^2/s^2 but unit for energy is supposed to be Joules? where does the mass go? If the three expressions were already divided by the mass then why Emec still remains as Emec?

I know that for 4x-y+2z=7 has normal vector (4,-1,2). I also know that 4x-y+2x=7 is perpendicular to the plane containing the P1 and P2, and thus the normal vector is parallel to the line P1P2. Therefore I should find P1P2 and cross with the normal vector (4,-1,2) and get a normal to the plane...

I've encountered this question but I do not know how to solve it? Help anyone? I need some clues. Find a plane through the points P1 (1,2,3) and P2(3,2,1) and perpendicular to the plane 4x - y + 2z = 7 Another question, When given point A (1,2,3) and B (3,2,1) , I'm asked to find the line...

I think it should be y[e^{-1/2(x^2+y^2)} - x^2e^{-1/2(x^2+y^2)}]= y(1- x^2) e^{-1/2(x^2+ y^2)}= 0 x[e^{-1/2(x^2+y^2)} - y^2e^{-1/2(x^2+y^2)}]= x(1- y^2)e^{-1/2(x^2+ y^2)}= 0

Find the stationary points for the surface. And find the local and absolute maxima or minima for the following function. \f(x,y)= xye^{-1/2(x^2+y^2)} Is there any stationary points for this surface? Let z = f(x,y) I found the \delta{z}/\delta{x} = y[e^{-1/2(x^2+y^2)} - x^2e^{-1/2(x^2+y^2)}]...

I'm told that this integration can't be solved, can it ? ʃ dx/(sin (x) . exp((csc x)^2)

why they can fly freely in the car without hitting the rear no matter how fast the car is going forward?

Say A,B and C are points on a plane. By taking the magnitude of the cross product of AB and BC gives you the area of the parallelogram. The direction of the answer will be perpendicular to both AB and BC, but what I don't understand is why we are getting the area? Is the area pointing in that...

i have no idea how to solve these 2 questions.. please direct me to the right way. 1. Find the vector from the origin to the center of mass of a thin triangular plate (uniform density) whose vertices are A(7, 7, 2), B(7, 4, 6), and C(4, 10, 1). 2. Find the area of the parallelogram determined...

Can anyone tell me how to find the angle between tensile force and slip direction under these conditions:- 1. Tensile force is applied along [010] direction for a single crystal of iron(BCC). 2. rss is directed along (110) plane and in a [-111] direction when tensile stress of 52 MPa is...