Recent content by cyt91

Thanks for the reply. I have already solved the question. Turned out there's a mistake when I calculated the weight of water after 10 seconds and I did not include the gc factor. And yes, momentum of the falling water is already included in the momentum equation.

Fluid Mechanics --Momentum Equation Homework Statement A large weigh tank is to be used in the calibration of a flow metre. Measurements of weights as a function of time are to be made. Water enters the tank vertically from the flow metering system at a speed of 20 ft/s through a 1.5 in...

Homework Statement Find the equilibrium points for the following equation. Determine if the equilibrium points are stable and if stable,approximate the angular frequency. (i) d2y/dx2 = cosh(x). Homework Equations The Attempt at a Solution For equilibrium points, do we...

Find the area of the surface consisting of the part of the sphere of radius 2 centered at origin that lies above the horizontal plane z = 1. (Equation of this sphere is given by x^2 + y^2 + z^2 = 2^2 .) x^2+y^2+1=4 x^2+y^2=3 This is the base of the solid. But how do we find the required...

Ok. Thanks.

Is the line x=1-2t,y=2+5t,z=-3t parallel to the plane 2x+y-z=8? I've used the approach of finding the dot product of the directional vector of the line and the vector normal to the plane in this question. The line is not parallel to the plane. But I'm not too sure if my working is correct...

Got it! You're right. When in doubt,draw. Thanks.

Got it! Yes. I did not pick a point on the first plane through which the normal vector passes. Thanks.

"Then this normal line passing through the chosen point has the vector equation < x, y, z > = < 2t , 2t, -t - 1 > " Is this derived from : r(t) = r0 + tv ,where r0 and v are vectors which is the vector equation for a straight line?

This is my working. I calculated the distance to be 5/6. But the right answer is 1/2. What is wrong with my approach...

This is my working. I'm still stuck... :mad: https://skydrive.live.com/?sc=photos&cid=6b041751c72e14ad#!/?cid=6b041751c72e14ad&sc=photos&uc=1&id=6B041751C72E14AD%21149!cid=6B041751C72E14AD&id=6B041751C72E14AD%21159&sc=photos

A and B are 2 non-zero constant vectors and |B| =1. If the angle between them is pi/4, find the limit of (|A+xB|-|A|)/x as x approaches 0. I'm stuck at this question. I've tried using dot product and vector product. But...I don't see the connection ... Any useful hints would be helpful...

Homework Statement Find the shortest distance between the 2 planes: 2x+2y-z=1 and 4x+4y-2z=5 How do we approach this problem? I used the approach of finding the point at which the normal of one plane intersects the other plane and then determining the length of this vector. The...

Hi. Thanks a lot for your help. I've found c_19 = -1 and c_20 = 0. Just one more clarification: when we are finding c_19 / c_18 /c _20 , we are in fact finding the 19th / 18th/ 20th order of Taylor's polynomial right? So,for instance,if we want to look for c_18, we'll be looking at 3n...

I've tried loading the pictures(by right-clicking and selecting open in new tab). They loaded just fine. Sorry,I'm not that good in Latex.