Wednesday, July 28, 2010

Schedule of 2010 Board Exam of Mechanical Engineers and other Professions in Middle East Released






The Professional Regulations Commission (PRC) announces the schedule of 2010 Special Board Examination for architects, certified public accountants, civil engineers, electronics engineers, registered electrical engineers, registered master electricians, and MECHANICAL ENGINEERS. These exams will be held simultaneously in Al-Khobar and Riyadh, Kingdom of Saudi Arabia, Doha,Sstate of Qatar and Abu Dhabi, United Arab Emirates on November 16, 17, and 18, 2010.

This special board examination was in compliance with Executive Order No. 835 signed by President Gloria Macapagal Arroyo last October 6, 2009. This order gave an opportunity to Overseas Filipino Workers (OFWs) in the Middle East to have their license outside the country.

The official announcement was posted at PRCs official website last June 21, 2010. For more details including the requirements and payment please see the original document here.

http://www.prc.gov.ph/articles.asp?sid=4&aid=3702

Tuesday, July 13, 2010

ANSWERS TO MECHANICAL BOARD EXAM QUESTIONS: ENGINEERING ECONOMY PART 2






Below are the answer to the questions posted on the subject Engineering Economy.

1. It is a depreciation method based on the assumption that the value of a property is directly proportional to its age.
A. Straight Line Method

2. Which of the following is NOT a requirement of a depreciation method?
D. The book value should be higher than the market value

3. The decrease in the purchasing power of money
C. Inflation

4. Equal periodic payment of a debt.
B. Amortization

5. Minimum number of years required for a bond redemption.
C. 10 years

6. Amount of money spent on a business operation which cannot be recovered due to certain reason.
B. Sunk cost

7. Represents share in the ownership of the capital corporation.
C. Stock

8. It is the actual interest earned by the principal in ONE YEAR.
A. Effective interest

9. A type of annuity where the payment goes on indefinitely
B. Perpetuity

10. An economic situation when there is only one vendor of a product or service.
B. Monopoly

If there's something wrong on any of the answer, I would appreciate if you could bring that out for me. You can email (admin@tupmechanical.com) or just put a comment.

Friday, July 9, 2010

MECHANICAL BOARD EXAM QUESTIONS: ENGINEERING ECONOMY PART 2






With Engineering Economy comprising almost half of Mathematics questions during the board exam, I think it's a wise choice to really focus additional attention to that subject. Here's the second batch of questions on Engineering Economy.
Instruction: Choose the BEST answer.

1. It is a depreciation method based on the assumption that the value of a property is directly proportional to its age.
a. Straight Line Method
b. Sinking Fund Method
c. Declining Balance Method
d. Service Output Method

2. Which of the following is NOT a requirement of a depreciation method?
a. It should be simple
b. It should recover the capital
c. BIR approved
d. The book value should be higher than the market value

3. The decrease in the purchasing power of money
a. Devaluation
b. Depreciation
c. Inflation
d. Depletion

4. Equal periodic payment of a debt.
a. Annuity
b. Amortization
c. Depreciation
d. Bond

5. Minimum number of years required for a bond redemption.
a. 5 years
b. 1 year
c. 10 years
d. 15 years

6. Amount of money spent on a business operation which cannot be recovered due to certain reason.
a. Fixed cost
b. Sunk cost
c. First cost
d. Increment cost

7. Represents share in the ownership of the capital corporation.
a. Bond
b. Mutual fund
c. Stock
d. Burse

8. It is the actual interest earned by the principal in ONE YEAR.
a. Effective interest
b. Exact interest
c. Simple interest
d. Compounded interest

9. A type of annuity where the payment goes on indefinitely
a. Ordinary annuity
b. Annuity due
c. Perpetuity
d. Deferred annuity

10. An economic situation when there is only one vendor of a product or service.
a. Oligopoly
b. Monopoly
c. Communism
d. Socialism

Reference: Engineering Economy by H. Sta. Maria


Answers will be posted next week.

Wednesday, July 7, 2010

Mechanical Engineering Review Question: Mechanics (Answers and Solutions)






Here are the answers and solutions to the posted questions on Engineering Mechanics.

1. A 20kg block is resting in a horizontal surface. Calculate the force required to move it if the coefficient of static and dynamic friction are 0.75 and 0.6 respectively.
Solution:
F= (COF) N
N=W=mg= (20kg) (9.81m/s2)
F= 0.75 (20) (9.81) ; use static COF if the body is at rest
F= 147.15 N (B)

2. A 100kg object is sliding over a surface with static and dynamic coefficient of friction values of 0.5 and 0.3 respectively. If the initial velocity of the object is 10m/s, how long will it travel before it completely stops?
Solution:
FBD
free body diagram

Assuming dynamic equilibrium:

Summation of horizontal force:
REF-Fr=0
REF=Fr
REF= (W/g) (a)
Fr= (COF) (N)

Summation of Vertical forces:
N=W
(W/g)(a)=(COF)(N)
a/g=COF
a= (COF) (g)

Note: Use dynamic COF value since the body is already in motion.

a=0.3 (9.81) = 2.943 m/s2
a=-2.943 (negative, because the body is decelerating)

Using the rectilinear motion equation:
V^2= v0^2+2aS
S= (V2-v02)/ (2a)

Since the final velocity is zero
S= (0-10) ^2/ (2) (-2.943)
S=16.989 m (A)

3. A 1kg ball is tied at the end of a 1.5m long rope and then rotated at the speed of 100 RPM. Calculate the tension on the rope.

F=ma;
a=v^2/r (normal acceleration for revolving bodies)
v= (pi)(D)(N)/60=2pirN/60
v=2(3.1416)(1.5)(100/60)
v=15.708 m/s
a= (15.708)^2/1.5
a=164.5 m/s2
F=1(164.5)
F=164.5 N (D)

4. A bullet is fired vertically from a gun situated 2 m above the ground. If the initial speed of the bullet is 100m/s, how high will it travel before it starts falling? Assume negligible air resistance.

V^2=v0^2+2as; a=-g (decelerating at the value of freely falling acceleration)
V=0; since at the highest point, the bullet will stop and starts falling down.
0=100^2+2 (-9.81)(S)
S=509.7 m+2m
S=511.7 m (D)

5. A missile is fired from North Korea and is targeted towards South Korea. If the distance between the two countries is 100km and the firing angle is 45 degrees, at what velocity should the missile be fired to reach its target? Assume negligible air resistance.

From projectile derived equations:

Range=v0^2 (sin2X)/g
100000m= (v0^2) (sin(90)/(9.81m/s2)
V0=990.45 m/s (C)

6. Calculate the polar moment of inertia of a 30 cm diameter circular board.
J=(pi)D^4/32
J=(pi) (30 cm) ^4/32
J=(3.1416)25312.5 cm^4
J=79521.6 cm^4

7. A 20mm thick, 50 cm in diameter wheel made of cast iron (density: 6.0kg/cu m) starts rotating from rest and in 1 minute, attained an angular speed of 200 RPM. Calculate the angular acceleration in rad/s2?

α= (ω- ω0)/t
ω0=0 (from rest)
ω=200 rev/min (1min/60s) (2pi rad/rev)
ω = 20.944 rad/s
α = (20.944 rad/s)/ (60s)
α =0.349 rad/s2 (B)

8. A 2kg ball starts rolling down from the top of a 100m-high hill towards the plains. Calculate the final speed of the ball when it reaches the foot of the hill. Assume negligible friction.

V^2=v0^2+2as; a=g=9.81m/s2
V^2=0+2(9.81) (100)
V=44.294 m/s (D)

9. A 500kg car is moving around a 500 m radius road with 5 degrees banking. If the minimum friction between the tires and the road is 0.2 during rainy days, calculate the maximum speed limit.
Tan (X) =v^2/gR; for speed limit computation, the assumption is NO FRICTION (for safety factor)
Tan (5) =v^2/ ((9.81) (500))
V= 20.715 m/s
V=74 kph (C)

10. A 2kg object with a velocity of 10m/s hits a 3kg object at rest, sticks with it and move together in the same direction. Find the resulting velocity.

Conservation of momentum

m1v1+m2v2= (m1+m2) (v)
v= (m1V1+m2v2)/ (m1+m2)
v= (2kg (10m/s) +3kg (0))/ (2kg+3kg)
v = 4m/s (C)


For any question/correction/suggestion please comment below or email me at admin@tupmechanical.com.


My apologies if the solution is not easy to follow. It's hard to write computation solution in a webpage :-)

Tuesday, July 6, 2010

ANNOUNCEMENT: SECOND PHASE OF 2010 MECHANICAL ENGINEER BOARD EXAM SCHEDULE CHANGE






In a resolution issued by the Board of Mechanical Engineering dated June 21, 2010 and was approved by the Professional Regulation Commission, the original schedule of the second phase of the 2010 Registered Mechanical Engineers and Certified Plant Mechanic licensure examination originally dated October 12-13, 2010 was moved to SEPTEMBER 9 and 10 ( Thursday and Friday).

Accordingly, the deadline for submission of application was also moved from September 22, 2010 to AGUGUST 25, 2010 (Wednesday).

According to the same resolution, after series of dialogues between the Board, the Philippine Society of Mechanical Engineers (PSME) and the Academe, it has been decided to move the exam date to coincide with the annual PSME Convention which will be held September 2010.

Earlier this year, the Board also announced the movement of the schedule for the First Phase of RME and CPM exam.

To view the actual document, follow this link below.
http://www.prc.gov.ph/documents/2010%20ME%20and%20CPM%20-%20%20Resolution%202010-22.pdf

Monday, July 5, 2010

Mechanical Engineering Review Question: Mechanics (Computation)






Mathematics and Engineering Sciences coupled with Engineering Economy comprise 35% of the board exam rating. This is mandated by Republic Act 8495 or The Philippine Mechanical Engineering Act of 1998. With that in mind, I created practice questions for review in preparation for the upcoming 2nd Phase of Mechanical engineering Board Exam this October 2010. I have below some practice questions specifically on the topic, Engineering Mechanics. I hope it will help a bit specially to those who are self-reviewing.

Instruction: Choose the BEST answer.

1. A 20kg block is resting in a horizontal surface. Calculate the force required to move it if the coefficient of static and dynamic friction are 0.75 and 0.6 respectively.
a. 118 N
b. 147 N
c. 196 N
d. 132 N

2. A 100kg object is sliding over a surface with static and dynamic coefficient of friction values of 0.5 and 0.3 respectively. If the initial velocity of the object is 10m/s, how long will it travel before it completely stops?
a. 17 m
b. 10.2 m
c. 20.4 m
d. 34 m

3. A 1kg ball is tied at the end of a 1.5m long rope and then rotated at the speed of 100 RPM. Calculate the tension on the rope.
a. 263.2 N
b. 41 N
c. 16.7 N
d. 164.5 N

4. A bullet is fired vertically from a gun situated 2 m above the ground. If the initial speed of the bullet is 100m/s, how high will it travel before it starts falling? Assume negligible air resistance.
a. 509.7 m
b. 507.7 m
c. 501.7 m
d. 511.7 m

5. A missile is fired from North Korea and is targeted towards South Korea. If the distance between the two countries is 100km and the firing angle is 45 degrees, at what velocity should the missile be fired to reach its target? Assume negligible air resistance.
a. 1981m/s
b. 120 m/s
c. 991 m/s
d. 556 m/s

6. Calculate the polar moment of inertia of a 30 cm diameter circular board.
a. 25312.5 cm^3
b. 79521.6 cm^4
c. 12656 cm^3
d. 12656.5 cm^4

7. A 20mm thick, 50 cm in diameter wheel made of cast iron (density: 6.0kg/cu m) starts rotating from rest and in 1 minute, attained an angular speed of 200 RPM. Calculate the angular acceleration in rad/s2?
a. 0.06 rad/s2
b. 0.35 rad/s2
c. 0.11 rad/s2
d. 0.17 rad/s2

8. A 2kg ball starts rolling down from the top of a 100m-high hill towards the plains. Calculate the final speed of the ball when it reaches the foot of the hill. Assume negligible friction.
a. 31.3 m/s
b. 62.6 m/s
c. 14 m/s
d. 44.3 m/s

9. A 500kg car is moving around a 500 m radius road with 5 degrees banking. If the minimum friction between the tires and the road is 0.2 during rainy days, calculate the maximum speed limit.
a. 136 kph
b. 112 kph
c. 74 kph
d. 83 kph

10. A 2kg object with a velocity of 10m/s hits a 3kg object at rest, sticks with it and move together in the same direction. Find the resulting velocity.
a. 6 m/s
b. 5 m/s
c. 4m/s
d. 3m/s

Answers and solution will be posted after one week. Let me know if there's any concern with the question or the choices.