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MECHANICAL ENGINEERINGPROBLEMSENGR. VIRNE B. DALISAY

Mobile # 0928-7199790

MATHEMATICSNAME:________________________________________________________________

_________DATE:____________

INSTRUCTION: Encircle the letter that corresponds to the correct answer of yourchoice.

MULTIPLE CHOICE:

1. An asset is purchased for P7000. Its estimated life is 8 years, after which it will besold for P900. Find the book value during the 5 th year if the sum-of-the-years digitdepreciation is used?

A. P5181 B. P4405 C. P1354 D. P19192. The height y and the distance x along the horizontal plane of a projectile on a certainplanet (assume no surrounding air) are given by y = (4t-3t2) meter and x = t2 meter, t =sec. With what velocity the projectile is projected?

A. 1 fps B. 2.19 fps C. 3.1 fps D. 6 fps3. Mikes bowling score of 167 was 79 less than 3 times his weight. How much doesMike weight?

A. 78 B. 80 C. 82 D. 844. Two cylinders having weight of 50 N to 100 N with radii of 50 mm and 120 mmrespectively, and are placed with the heavier weight above the lighter weight and bothof them are placed in a container having a width of 300 mm. Assuming the lengths ofthe cylinder at the cylinders to be same, what is the reaction between the cylinders?

A. 200.42 N B. 150.39 N C. 130.50 N D. 100.25 N5. Solve for 2x + ydy/dx = 2

A. y2=4x-x2+C B. y2=x2-2x+C C. y2=4x-x2+CD. y2=x2+2x+C

6. Five weights of 100, 150, 300, 90 and 200 lbs hang in one plane from a horizontalsupport at distances 1, 2, 3, 4 and 5 m respectively, from the wall. What single force

would replace these six weights? A. 840 @ 3.166 m B. 840 @ 3.0 m C. 840 @ 2.166 mD. 840 @ 2 m

7. What is the acceleration of the body that increases in velocity from 35 m/s to 90 m/sin 12 sec?

A. 6.1 B. 5.03 C. 4.58 D. 3.1258. With what speed in miles/hr (1 m/s = 2.23 mi/hr) must an object be thrown to reach aheight of 81.5 m (equivalent to one football field)? Assume negligible air resistance.

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A. 89.15 B. 90.1 C. 94.4 D. 1209. Two resistors, 2 ohms and 10 ohms are connected in parallel and the combination isconnected across the 440V source. Find the voltage across the 2 ohms resistor.

A. 26.35V B. 40V C. 60V D. 73.33V10. A heater is rated at 800 W. If the current flowing is 15 amperes, find the load

resistance of the circuit. A. 3.55 ohms B. 5 ohms C. 8 ohms D. 10 ohms11. The motion of a particle is defined by the relation S = 2t 4 t3 + t2 4, where S,meters and t, seconds. Determine the acceleration when t = 2 seconds.

A. 75 m/s2 B. 80 m/s2 C. 82 m/s2 D. 85 m/s212. Solve for x in the equations: 4(x+y) = 50 and 3(x-y) = 5.

A. 50.73 B. 30.73 C. 25.73 D. 20.7313. How many sides have a polygon if the sum of the interior angles is 1980 degrees?

A. 11 B. 12 C. 13 D. 1414. What is the minimum value of force P acting on the center, which may be includingat any angle with the horizontal, necessary to pull the 360 N, 8 cm radius roller over a 4

cm obstruction, neglect friction? A. 300 N B. 312 N C. 240 N D. 200 N15. Solve for x + y dy/dx = 2

A. y2 = 4x x2 + C B. y2 = 4x + x2 + C C. y = 4x x2 + C D. y = 4x + x2+ C

There are no secrets to success. It is the result of preparation, hard work learning from failure. ~ General Colin Powell