February 2017

Itz Temple Emenike's picture

A solid shaft made from copper is 90mm diameter and 8m long

Submitted by Itz Temple Emenike on February 22, 2017 - 10:38pm

A solid shaft made from copper is 90mm diameter and 8m long. If this shaft is joined to a 1.5m long solid steel shaft and 120mm diameter, estimate the maximum shear stress in each material and the total angle of twist of the entire shaft, if a torque of 20KN-m is applied to each end of shaft. GC=40GN/m2 G=90GN/m2

ailevya's picture

Integral calculus: Centroid of area bounded by $y = 2(1 + x^3)$ and the coordinate axes

Submitted by ailevya on February 26, 2017 - 12:04pm

Help please. Find the centroid of the area. Where the area bounded by the curve y=2(1+x^3) and the coordinate axes

Problem 906 | Combined Axial and Bending

Problem 906
For the 2-in. by 6-in. wooden beam shown in Fig. P-906. Determine the normal stress at A and B. Are these the points of maximum normal stress? If not, where are they located and what are their values?
 

906-beam-with-inclined-load.gif

 

Jhun Vert's picture

Sunk cost of a concrete mixer

Submitted by Jhun Vert on February 27, 2017 - 2:53pm

A concrete mixer was bought for P30,000 six years ago. It will have a salvage value of P3,000 four years from now. It is sold now at P8,000. What is the sunk cost if the depreciation used is sinking fund method at 6%? Hint: sunk cost is the difference between the book value and the selling price.

Jhun Vert's picture

Nominal rate of a quarterly payment

Submitted by Jhun Vert on February 27, 2017 - 2:55pm

At what nominal rate compounded quarterly will payments of P800 quarterly for 5 years discharge all liabilities of a debtor who borrows P14,000 today?

Jhun Vert's picture

Price that an investor is willing to pay for the mine

Submitted by Jhun Vert on February 27, 2017 - 2:56pm

The annual income from the mine is P100,000 and the life of the mine is 20 years. Find the price that an investor is willing to pay for the mine if he considers that money is worth 5% and if he is to accumulate a sinking fund at 6% in order to replace the capital he invested.

Jhun Vert's picture

Book value at the end of 3 years using SOYD

Submitted by Jhun Vert on February 27, 2017 - 2:58pm

The first cost of a certain machine is P90,000. After 8 years it will have a salvage value of P18,000. Compute the book value at the end of 3 years by using the sum of the years digit method.

Jhun Vert's picture

Present value of increasing payments

Submitted by Jhun Vert on February 27, 2017 - 2:59pm

Find the present value of installment payments of P1,000 now, P2,000 at the end of the first year, P3,000 at the end of the second year, P4,000 at the end of the third year, P5,000 at the end of the fourth year, if money is worth 10% compounded annually.

Jhun Vert's picture

Find (5 + 4i) + 2(2 - 3i) - i(1 - 5i)

Submitted by Jhun Vert on February 27, 2017 - 3:02pm

Perform the indicated operation and express the answer in the form of $a + bi$: $(5 + 4i) + 2(2 - 3i) - i(1 - 5i)$

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