TECHNOLOGICAL INSTITUTE OF THE PHILIPPINES

Quezon City

Name: Date:

Lecture Section/Schedule: Room:

3. Determine the order of the differential equation:

2. Radium decomposes at the rate proportional to

the amount present. If the half life is 1600 years, find

the percentage remaining after 2000 years.

1. Find the differential equation of the family of

parabolas having their vertices at the origin and foci

on the x-axis.

4. A 100-kg block shown below rests in a plane

inclined 25 degrees with the horizontal. If P = 0,

determine the minimum coefficient of friction required

to avoid motion.

Quiz 1 & 2 - Finals - Differential Equations, Statics of Rigid Bodies, Engineering Economy, Elementary Surveying

General Instructions: Solve the following questions carefully. Provide a complete and comprehensive

solution. Write your solutions legibly. Box your final answers. Avoid cheating (cheating will result to the

automatic failure of the course). Quiz 1 is items 1 - 6, while Quiz 2 is items 7 - 12.

College of Engineering and Architecture

Civil Engineering Department

CE 304 - Integration Course in CE 1 (Special Topics 1)

2

2

3

+ 3

= 12

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TECHNOLOGICAL INSTITUTE OF THE PHILIPPINES

Quezon City

1

2

3

4

Determine the resultant force.

BS FS

BM-A 1.201

TP-1 1.642 1.574

TP-2 1.087 2.235

BM-B 1.003

50.5

37.4

25

16

129

304

345

6. The following are forces acting on a single point

and their respective angles from the positive x-axis,

measured counter-clockwise.

Force (kN) Angle (degrees)

46

Elevation (m)

12.324

10. Determine the difference in elevation between

BM-A and BM-B.

5. If coefficient of friction is equal to 0.45, determine

the minimum required horizontal force, P, to move

the block up the plane in problem number 3.

9. An equipment has an initial cost of P100,000.00. It

is estimated to be usuable for 6 years with a salvage

value of P25,000.00. Determine the book value after

4 years using Sum-of-the-years-digit (SOYD)

method.

7. An amount of P50,000.00 is deposited in a bank

with an interest of 2% compounded continuousy.

Determine the total interest gained after 8 years.

8. If the money mentioned in item 7 is deposited

instead in an account having an interest rate of 2%

compounded monthly, determine the total interest

gained after 8 years.

CE 304 - Integration Course in CE 1 (Special Topics 1)

Quiz 1 & 2 - Finals - Differential Equations, Statics of Rigid Bodies, Engineering Economy, Elementary Surveying

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TECHNOLOGICAL INSTITUTE OF THE PHILIPPINES

Quezon City

Line Distance Bearing

1-2 100 N 50 35' E

2-3 123.5 S 78 10' E3-1 200 S 79 45' W

CE 304 - Integration Course in CE 1 (Special Topics 1)

Quiz 1 & 2 - Finals - Differential Equations, Statics of Rigid Bodies, Engineering Economy, Elementary Surveying

11. A traverse line is to be surveyed from point A

having coordinates of (25, -60) to point B having

coordinates of (-10, 50). Find the length of the line,

and its bearing.

12. Given the following traverse data:

Determine the corrected distance of line 1-2 using

transit rule.

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