Mathematics 1

Their strength generally cannot be increased by heat treatment

Low carbon steel are generally used in the
“as rolled” or ‘as fabricated” state. What is the reason for this?

The total resistance is the sum of the individual resistors

Which of the following rules does not apply to a parallel circuit?

60

The number of board feet in a plank 3 inches thick, 1 foot wide and 20 feey length is

Design stress= ultimate stress/factor of safety

In general the design stress and factor of safety are relate as:

Weight

The dimension of “Acceleration x Mass” is the same as that of

Interest, taxes, amortization, insurance, rent

Considered as fixed charges

dC/dP=0

An economic study is made of the total annual cost (C) for a series of alternative investment (P) given project. If C is plotted as the ordinate versus P, the most desirable investment occurs when

Zinc

Galvanized iron is a term referring to iron coated with

Maximum at the wall

In a cantilever beam with a concentrated load at the free end, the moment is

Depends on the materials and the finish condition of the surfaces

The coefficient of friction for dry surfaces

Interest

The following cost item which is common to both fixed and operating cost of an enterprise, is

2/3 from the vertex

The center of gravity of an isoceles triangle whose height h is on the median line

A straight line on log log paper

The equation PV^1/8= constant is

Heat transfer

What ascertains the effectiveness and size of a condenser?

Ninety degrees is equal to

1.57 radians

35.30 km/hr/s

The standard acceleration due to gravity, g is equal to

Lime

it is required to speed up sedimentation of sewage. What is that chemical most commonly used for the given problem?

Always conserved

In a steady flow system, the mass of the working substance is

FT= Mdeltav

A general principle in the motion of a body can be stated as follows

F= MLT^-2

In mechanics, if mass M, length L, and time T, are selected as primary units, force F will have the following equation

The shear at the center of the beam is zero

For a simple beam supported at each end and which is uniformly loaded

Vortex

The phenomenon by which air enters a submerged suction pipe from the water surface is called

Additive

Chemicals added to oil to increase the resistance to oxidation

Displacement volume+clearance volume/Clearance Volume

Compression ratio of an engine

Portable boiler

An internal fired boiler which is self contained and primarily intended for temporary location and construction and usage is obviously not permanent

360 degrees

Spherical degree is a unit of spherical area taken as 1/720 of the surface of the sphere. How many spherical degrees a hemisphere have

The sum of all interior angles of a spherical triangle is 260

False statement about spherical trigonometry

360

The sum of the sides of a spherical triangle is always less than

Less than 180 + the third angle

The sum of any two angles of a spherical triangle

Latitude

Refers to the angular distance from the equator measured along a meridian

Longitude

Refers to the angle at either pole between the meridian passing through a point and some fixed meridean is known as the prime meridian

Meridian

Half of a great circle terminated by the north pole and south pole

The two legs are on the same quadrant

When the hypotenuse of a right spherical triangle is less than 90 degrees.

One leg is on the first quadrant and the other on the second quadrant

When the hypotenuse of a right spherical triangle is greater than 90

Zenith

The point where a ray from the center of the earth through an observer’s position on it intersects the celestial sphere is call the observer

Nadir

The point is diametrically opposite the zenith is called

Hour circles and Celestial Meridians

The great circles through the north and south celestial poles are called

Law of extremities

An annulus is a plane figure which is composed of two concentric circles. The area of the annulus can be calculated by getting the difference between the area of the smaller circle. Also, its area can be calculated by removing the hole.

Square

Each of the faces of a regular hexahedron is a

Prism

It is a polyhedron of which two faces are equal polygon in a parallel planes and the other faces are parallelograms

Radius

Apotherm of a polygon is ____ of its inscribed circle

150

Each angle of a regular dodecagon is equal to _____ degrees.

The area bounded by two concentric circle is called

Annulus

Quadrant

One-fourth of a great circle is called

Coplanar

Points that lie on the same plane are called

Theorem

The volume of a circular cylinder is equal to the product of its base and altitude

Solid Geometry

The study of the properties of a figures in three dimensions

Circle

A plane closed curve, all points of which are the same distance from a point within, called the center.

Oblique angle

What is the angle of pi and less than 2 pi

57.3 degrees

What is the value in degrees of 1 radian

Increase the hardness

The use of carbon in steel is

Equal to the weight of fluid displaced

The loss of weight of a body submerged in a fluid is

1 RME and 2 CPM

To comply the requirements of the Mechanical Engineering Law on the minimum compliment of mechanical engineers, a mechanical plant with a combined prime mover rating of 373 KW must have employ

4 years

Before an RME may be allowed to take the licensure examinations for PME, he must have an active practice of

He has 4 years of active practice as an MPE

Mechanical Plant engineer (MPE) may be allowed to take the licensure examination for PME if

Only in the philippines

The only country that recognizes the mechanical engineering license of Filipinos issued by the Professional Regulation Commission and allowed to use the license in their country is

Proportion

A statement of equality between two ratios

Hypotenuse

The side opposite the right angle of a right triangle

Circle

A plane close curve, all points of which are the same distance from a point within, called the center is

Theorem

Two triangles are congruent if two angles and the included side of one arc are equal respectively to two angles and the included side of the other.

The volume of a circular cylinder is equal to the product of its base and altitude

Theorem

Output over Input

Efficiency

Hydrometer

An instrument for measuring specific gravity of fluids

Capacity Factor

The ratio between the average load and total available capacity

PSME

The national association for mechanical engineers accredited by PRC

PME

Minimum grade of Mechanical Engineer required in the design and preparation of plans of a 280 KW diesel power plant

Depreciation

The decrease in value of property due to passage time

Sunk Cost

Difference between the book value and the actual lower resale value

Monopoly

It occurs when a unique product or service is available only from a single supplier and entry of all other possible suppliers prevented

342.72

The pressure reading of 35 psi in Kpa is

1.477

The radius of a circle inscribed in a triangle with sides 5,7,10 is

2304 in^4

The moment of inertia of a section 2” wide x 2” high about an axis 1” above the bottom edge of the section is

Has a reaction equal to the load

A cantilever beam having increasing load toward the fixed end:

Benefit-to-cost ratio

The ratio of the annual revenues to the annual expenses

0.05

The reciprocal of 20 is:

Bases

Prisms are named according to their

Conjugate arcs

In a plane geometry, two circulaer

Sides

Polygons are classified according to the number of

Dihedral angle

When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the

Grad

An angular unit equivalent to 1/400 of the circumference of a circle is called

800

Express 45 deg in mills

Radian

The arc length equal to the radius of the circle is called

Pentagram

A five pointed star is also known as

Concurrent

If two or more have a single which lies on all of them, then they are

Superposition

The action of bringing one geometric figure into coincidence with another is called

Transversal

A line that intersect two or more distinct points

Radian

An arclength equal to the radius of a circle

Gon

An angle which is 1/400th of the full revolution

Grad aand Centesimal degree

Another term for gon

Inscribed Angle

An angle whose vertex is a point on the circle and whose sides are chords is known as

Obtuse angle

An angle greater than the right angle but less than a straight angle

Reflex

Any angle greater than a straight angle but less than two straight angle is known as ____ angle

Exterior Angle

The angle formed by the prolongation of one side and the adjacent side of a polygon

Vertical Angles

Two angle which have the same vertex and the side of one form by extending the sides of one are form by extending the sides of the other

Deflection angle

Another term for exterior angle

Always equal to 360 degree

Sum of the deflection angle in a given polygon

480 degrees

The coterminal angle of 120 degree is

Dihedral angle

Two planes intersect each other. What is the term for the angle formed perpendicular to the intersection of two planes

Quadrantal angle

When a terminal side of an angle coincides with an axis, the angle is a

An acute angle

If the exterior angle of a polygoin is obtuse, its corresponding interior angle is