January 2016

Norwena Hechanova Caguitquit's picture

Discussion on: Solution to Problem 114 Normal Stress

Submitted by Norwena Hechano... on January 1, 2016 - 7:20pm

Following is a discussion on the Reviewer item titled: Solution to Problem 114 Normal Stress. Feel free to add your own comments!

Ahmed Mahmoud's picture

Discussion on: Solution to Problem 313 Torsion

Submitted by Ahmed Mahmoud on January 6, 2016 - 10:04pm

Following is a discussion on the Reviewer item titled: Solution to Problem 313 Torsion. Feel free to add your own comments!

01 - Solution to Radical Equations

Solve for $x$ from the following equations

  1. $\sqrt{3 - x} + \sqrt{4 - 2x} = \sqrt{3 - 3x}$
     
  2. $\sqrt{\dfrac{2x + 4}{x - 5}} + 8\sqrt{\dfrac{x - 5}{2x + 4}} = 6$

02 - Solution to Radical Equations

Determine the value of $x$ from the following equations:

  1. $\sqrt{(4 - x^2)^3} + 3x^2\sqrt{4 - x^2} = 0$
     
  2. $\dfrac{1}{3x - 2} - \dfrac{8}{\sqrt{3x - 2}} = 9$
     

Problem 431

Submitted by rr on January 12, 2016 - 11:25am

Can anyone help me how to calculate the zero moments in the questions?

03 - Solved Problems Involving Exponents and Radicals

Solve for $x$ from the following equations:

  1. $\left( \dfrac{x^2 - 15}{x} \right)^2 - 16\left( \dfrac{15 - x^2}{x} \right) + 28 = 0$
     
  2. $\dfrac{x}{\sqrt{x} + \sqrt{9 - x}} + \dfrac{x}{\sqrt{x} - \sqrt{9 - x}} = \dfrac{24}{\sqrt{x}}$

Example 05 - Simultaneous Non-Linear Equations of Two Unknowns

Problem
Solve for x and y from the given system of equations.
$x + 2y = 6$   ←   Equation (1)

$\sqrt{x} + \sqrt{y} = 3$   ←   Equation (2)
 

Example 06 - Simultaneous Non-Linear Equations of Two Unknowns

Problem
Solve for $x$ and $y$ from the given system of equations.
$x^2y + y = 17$   ←   Equation (1)

$x^4y^2 + y^2 = 257$   ←   Equation (2)
 

Example 07 - Simultaneous Non-Linear Equations of Two Unknowns

Problem
Solve for $x$ and $y$ from the given system of equations.
$\dfrac{3}{x^2} - \dfrac{4}{y^2} = 2$   ←   Equation (1)

$\dfrac{5}{x^2} - \dfrac{3}{y^2} = \dfrac{17}{4}$   ←   Equation (2)
 

01 - Solution of Logarithmic Equations

Solve for x from the following:

  1. $\log_6 (x - 2) + \log_6 (x + 3) = 1$
     
  2. $x^{\log x} = 10\,000$

02 - Solution to Equations Involving Variable Exponent

Solve for the value of x from each of the following equations:

  1. 9x - 6(9-x) - 1 = 0
  2. 2x + 1 · 3x = 5x + 3

 

Reference Books for "Strength of Materials" or "Mechanics of Materials"

Submitted by borquelking on January 17, 2016 - 5:32pm

What reference books used by this site? I know that it's Singer, right, but what edition? Thanks. Your reply is highly appreciated.

04 - Solution of Radical Equation

Problem 7
Determine the value of $x$ from $\sqrt[4]{3^{x^2}\sqrt{3^{x - 1}}} = \sqrt[8]{9^{x + 1}}$
 

13 - Length of Belt Connecting Two Pulleys

Problem
Two flat belt pulleys have a center to center distance of 137 cm, and diameters of 72 cm and 36 cm, respectively. Neglecting the sagging of belt...

  1. compute the length of belt if both pulleys will rotate in the same direction.
    A.   464.5 cm C.   446.0 cm
    B.   553.1 cm D.   535.4 cm
  2. compute the length of belt if the belt will be cross-connected to make the pulleys rotate in opposite directions.
    A.   654.1 cm C.   564.2 cm
    B.   465.2 cm D.   645.1 cm
  3. determine the distance of the point from the center of the bigger pulley where the belt will cross when cross-connected.
    A.   91.3 cm C.   89.4 cm
    B.   100.4 cm D.   98.7cm

 

Engineering Mechanics: Position of a particle is given as $S(t)=2t^2-8t+5$

Submitted by omehgodwin on January 19, 2016 - 5:09pm

The position of a particle is given as S(t)=(2t^2-8t+5). Determine the time when its velocity is zero. Calculate its total distance at t=3seconds.

Mechanics

Submitted by omehgodwin on January 19, 2016 - 6:36pm

calculate the centroid of the parabola y^2=4ax between the points x=0 and y=b.

01 - Example of Mixture Related Problem

Problem
In a class experiment, a student needs 5 liters of 6% solution. He found a 4% and a 10% solution in the laboratory. How many liters of each solution should he mix in order to obtain 5 liters of 6% solution?
A. 3.33 liters of 4% and 1.67 liters of 10% solution
B. 1.67 liters of 4% and 3.33 liters of 10% solution
C. 3.67 liters of 4% and 1.33 liters of 10% solution
D. 1.33 liters of 4% and 3.67 liters of 10% solution
 

Regular Polygons

Submitted by Gaudencio Catubao on January 22, 2016 - 6:34am

Please verify property number 8 of a regular polygon: “Diagonals of regular polygon will cross each other at the center. Length of diagonals is equal to the diameter of the circumscribing circle.” This statement is inconsistent with the formula for determining the number of diagonals D.

I suggest that the phrase “isosceles triangle” in property number 9 (Segment of regular polygon is an isosceles triangle whose equal sides are radius of circumscribing circle” be changed to “equilateral triangle” if it is true that segments have equal sides.

01 - Sound of impact of the bullet hitting the target

Problem
A bullet is fired at a target 1,342 m away. At what point along its path would the sound of the impact of the bullet be heard 1/4 second before the report of the gun, assuming that sound travels at the rate of 335 m/sec and the bullet is 503 m/sec.
 

Dutsky Kamdon's picture

Growth problems: mold grows at a rate proportional to its present size

Submitted by Dutsky Kamdon on January 26, 2016 - 11:24pm

A mold grows at a rate proportional to its present size. Initially there is 2 oz of this mold,
and two days later there is 3 oz. Find (a) how much mold was present after one day and (b)
how much mold will be present in ten days.
pls answer this probem..

Gerald DeLa Cruz Trinidad's picture

homogeneous differential equations: $ydx = \left[ x + (y^2 - x^2)^{1/2}\right] dy$

Submitted by Gerald DeLa Cru... on January 27, 2016 - 11:48am

solve for homogeneous

ydx = [ x + (y^2 - x^2)^1/2] dy

pa help naman poh pls

02 - Cars moving in opposite directions

Problem
A car leaves city A for city B, 40 km distant, traveling 50 kph. Thirty minutes later, another car leaves city B for city A at 40 kph. At what point of their path will the first car pass 6 minutes before the second car?
 

03 - In rowing a boat: find the rate of stream

Problem
A man can row 77 km and back in 14 hours. If he can row 6.5 km with the stream at the same time as 4.8 km against the stream, find the rate of the stream.
 

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