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April 2017

In tossing a coin, what is the probability of getting three consecutive heads or tails

Submitted by Jhun Vert on Wed, 04/19/2017 - 07:26

If Benjie throws a coin until a series of three consecutive heads or three consecutive tails appears, what is the probability that the game will end on the fourth throw?

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Solve for $x$: $\dfrac{1}{x} + \dfrac{1}{x + 2} = 1$

Submitted by Jhun Vert on Wed, 04/19/2017 - 07:01

Determine the value of x from the following equation:
$\dfrac{1}{x} + \dfrac{1}{x + 2} = 1$

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Problem 916 | Combined Axial and Bending

Problem 916
For the structure shown in Figure P-916 is hinged to fixed supports at A and E. Compute the maximum compressive stress developed in bar BDE if its cross section is 200 mm square. Neglect the weights of the members.
 

916-given-structural-assembly.gif

 

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Angle of Elevation

Submitted by esmilitar on Mon, 04/17/2017 - 23:00

Please help to solve this problem:
The angle of elevation of a point C from a point B is 29042'; the angle of elevation of C from another point A 31.2 m directly below B is 59023'. How high is C from the horizontal line through A?

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Problem 915 | Combined Axial and Bending

Problem 915
For the structure in Problem 914, compute the maximum tensile stress developed in bar CB.
 

914-two-bar-structure.gif

 

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Maximum possible volume, given1200cm^2 of material, square base and open top

Submitted by deep076 on Sun, 04/16/2017 - 23:02

I need help

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Problem 914 | Combined Axial and Bending

Problem 914
The structure shown in Figure P-914 is hinged to fixed is hinged to fixed supports at A and C. Assume that the pin connections at A, B, and C are frictionless. The bars are each 4 in. by 4 in. in section. Compute the maximum compressive stress developed in bar AD.
 

914-two-bar-structure.gif

 

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Problem 913 | Combined Axial and Bending

Problem 913
Solve Problem 912 if P = 6 kips and F = 10 kips.
 

912-rectangular-link.gif

 

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Inner Circle Reading of the Double Vernier of a Transit

Problem
Figure P-SF01 is a double vernier of a transit and the dashed line indicate the two sets of coincident lines. What is the reading of the inner circle?
 

01-008-vernier-circle-reading.gif

 

A.   175° 42' C.   184° 18'
B.   193° 8' D.   181° 3'

 

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Problem 912 | Combined Axial and Bending

Problem 912
Compute the stresses at A and B on the link loaded as shown in Figure P-912 if P = 9000 lb and F = 3000 lb.
 

912-rectangular-link.gif

 

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