March 2018

Roland Joseph Quitola's picture

Normal shock wave

Submitted by Roland Joseph Q... on March 1, 2018 - 10:46am

1. Consider a NSW with a downstream-upstream temperature ratio of 3.5 what is the mach number upstream and downstream of the shock? Show your solution.

2. The flow just upstream of a NSW is at SSLC and the mach number downstream is 0.6152 determine the pressure, temperature, density, velocity, and the total pressure and temperature. Show your solution

3. The mach number behind of a NSW is 0.4752
What is the mach number in front of the wave and the pressure ratio across the shock? Show your solution.

Dynamics

Submitted by Reinreiii on March 2, 2018 - 12:02am

Hi! Pahelp please? Anyone who has a good heart huhuhu. I badly need your help. Anyone who can answer this? I mean with the process.

The collar has a mass of 3kg and is supported on the rod having a coefficient of kinetic friction Uk=0.4. The attached spring has an unstretched length of 0.2m and stiffness k=50N/m. Determine the speed of the collar after the applied force F=200N causes it to be displaced s=1.5m from pt. A. When s=0 the collar is held at rest?

What is the process?

Algebra

Submitted by Benjie Magallano on March 8, 2018 - 2:34pm

A company has a certain number of machines of equal capacity that produced a total of 180 pieces each working day. If two machines breakdown, the workload of the remaining machines is increased by three pices per day to maintain production. Find the number of machines?

Algebra

Submitted by Benjie Magallano on March 8, 2018 - 2:43pm

A 1,260-galloon tank is filled by two pipes in as many as the smaller pipe brings in galloons per minute. How long will it take each pipe to fill the tank if the larger pipe brings in one galloon per minute more than the smaller pipe?

Audu King Josy's picture

Hoops stress

Submitted by Audu King Josy on March 9, 2018 - 7:43pm

A steel ring of outer diameter 300mm and internal diameter of 200mm is shrunked unto a solid steel shaft , the interference is arranged such that the radial pressure between the meeting surfaces will not fall bellow 300MN/m^2 while the assembly rotates in circles. If the maximum circumferencial stress on the inside of d surface of the ring is limited to 240MN/m^2. Determine the maximum speed at which the assembly can be rotated . Assuming that no relative slip occur between the shaft and the ring.

larry's picture

Asking

Submitted by larry on March 12, 2018 - 9:00am

I just want to ask sir if it is possible to have a PDF copy of all the discussions/topics of this site? I just want to have one for me to have hard copy reference. :) please help me

Kian Rynan Biñan's picture

Laplace

Submitted by Kian Rynan Biñan on March 12, 2018 - 2:17pm

Laplace of e5t+1(t sin (t))

Joshua Melegrito Peralta's picture

Help please: $(1+e^x y+x e^x y) dx + (x e^x + 2) dy=0$

Submitted by Joshua Melegrit... on March 14, 2018 - 8:49am

Help please.
(1+e^(x) y+x e^(x) y) dx + (x e^(x) + 2) dy=0

Joshua Melegrito Peralta's picture

Please Help.

Submitted by Joshua Melegrit... on March 14, 2018 - 8:54am

Please Help. (1+e^(x) y+x e^(x) y) dx + (x e^(x) + 2)dy=0

Yom TK's picture

Advanced Math

Submitted by Yom TK on March 14, 2018 - 11:04pm

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Help me solve this problems.Thanks. :)

Projectile Motion

Submitted by Sam Simeon on March 21, 2018 - 4:48pm

Hello guys, how can I solve for the projectile's speed, horizontal distance and maximum height reached if the only given in the problem is the time of flight and the angle of inclination from the horizontal.
The projectile is thrown from the cliff by the way, thanks :)

Three Dissimilar Right Triangles

Submitted by BobDH on March 22, 2018 - 10:36am

PROPOSITION: The hypotenuses of two dissimilar right triangles “A” and “B”, are twice the legs of a known right triangle “C”, and the altitude to hypotenuses in each of A and B triangles are identical to that in C.

HYPOTHESIS: The sum of the greater segments on each of the hypotenuses of A and B, caused by the altitude to hypotenuse in C, will equal the Perimeter of C.

For instance, triangle C can be any right triangle whose 3 sides are known.

Let “m” and “n” be the long and short legs, respectively, of C.

ADVANCED MATH: Determinants

Submitted by danedison on March 22, 2018 - 9:14pm

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Pahelp naman po.
Paano mo gagawin dito? Paano din po ung solution. Thank you po.

Hansen's Theorem

Submitted by BobDH on March 30, 2018 - 7:19am

For those of you not familiar with Hansen's Theorem, it is very useful when deriving the radii of the excircles of a right triangle. It states that the Sum of the squares of the radii of the three excircles of a right triangle, plus the square of the radius of its incircle is equal to the sum of the squares of the sides of the triangle.

The theorem also shows an elegant and quick method for calculating the radii of the 3 excircles of the triangle, and proves that the Sum of the 4 radii is equal to the Perimeter of the triangle.