51-100 Flashcards
- Given that one side of a triangle is equal to 8 meters, the base of is equal to b meters and a height of 4 meters. The area of this triangle is equal to?
a. 16 m2
b. 32 m2
c. 8b m2
d. 4b m2
e. 2b m2
e. 2b m2
- A trapezium is a plane figure that has four (4) sides with
a. no two sides that are parallel.
b. opposite sides which are parallel and all angles equal.
c. opposite sides parallel and only opposite angles equal.
d. opposite sides parallel and equal, and opposite angles equal.
e. two opposite sides parallel, the other two sides not.
a. no two sides that are parallel.
- When given the three sides of a triangle the area of this triangle may be solved by using the formula:
a. A = 1/2 bl
b. A = 0.433a
c. A = s square root (s-a) (s-b) (s-c)
d. A = square root of s (s-a) (s-b) (s-c)
e. None of the above
d. A = square root of s (s-a) (s-b) (s-c)
- A right triangle has a vertical height of 7 m and a base of 4 m, find the area.
a. 28 m2
b. 17 m2
c. 14 m2
d. 11 m2
e. 10.5 m2
c. 14 m2
- A rhomboid is a plane figure, which has four (4) sides with?
a. All sides parallel.
b. Opposite sides parallel and all angles equal.
c. Opposite sides parallel and only opposite angles equal.
d. Opposite sides parallel and equal and opposite angles equal.
e. Two opposite sides parallel, the other two sides not.
c. Opposite sides parallel and only opposite angles equal.
- Any four sided plane figure having straight lines as sides is:
a. A rectangle
b. A square
c. A quadrilateral
d. An octagon
c. A quadrilateral
- An isosceles triangle has an area of 121 m2 and a base length of 13 m. What is the vertical height of this (isosceles) triangle?
a. 9.23 m
b. 13.33 m
c. 15.78 m
d. 16.63 m
e. 18.62 m
e. 18.62 m
- A rhombus is a plane figure. It has four (4) sides:
a. All sides are parallel.
b. Opposite sides are parallel and all angles are equal.
c. Opposite sides are parallel and only opposite angles are equal.
d. Opposite sides are parallel and equal and opposite angles are equal.
e. Two opposite sides are parallel, the other two side are not.
d. Opposite sides are parallel and equal and opposite angles are equal.
- The area of a trapezium can be determined by the formula:
a. Divide the trapezium by a diagonal line then find the area of each triangle, add the area of the two triangles to give the total area of the trapezium.
b. A = a+b divide by 2 times b
c. A = d1 times d2 divide by 2
d. A = b1
a. Divide the trapezium by a diagonal line then find the area of each triangle, add the area of the two triangles to give the total area of the trapezium.
- An equilateral triangle has sides of 11 meters. What is its area and height?
a. A = 42.76 m2, h = 6.00 m
b. A = 52.39 m2, h = 9.53 m
c. A = 66.38 m2, h = 12.02 m
d. A = 68.39 m2, h = 12.24 m
e. A = 121 m2, h = 11 m
b. A = 52.39 m2, h = 9.53 m
- A trapezoid is a plane figure, which has four (4) sides, and?
a. All sides are parallel.
b. Opposite sides are parallel and all angles are equal.
c. Opposite sides are parallel and only opposite angles are equal.
d. Opposite sides are parallel and equal, and opposite angles are equal.
e. Two opposite sides are parallel, the other two side are not.
e. Two opposite sides are parallel, the other two side are not.
- A rhombus is a rhomboid having:
a. All sides of equal length
b. All angles equal
c. Only two sides
d. All sides different lengths
a. All sides of equal length
- An equilateral triangle has an area of 63.92 m2. What is the height of this equilateral triangle?
a. 49.20 m
b. 40.12 m
c. 23.15 m
d. 10.52 m
e. 9.15 m
d. 10.52 m
- A polygon is a figure bounded by:
a. Two sides
b. Any number of straight lines
c. Three sides
d. Hexagon
b. Any number of straight lines
- A sector of a circle is a part of a circle bounded by two radius lines and a portion of the circumference called a/an:
a. Ellipse
b. Chord
c. Arc
d. Segment
c. Arc
- What is the area of a triangle whose sides measure 4 km, 5 km and 7 km?
a. 9.80 km2
b. 10.78 km2
c. 20.00 km2
d. 35 km2
e. 140 km2
a. 9.80 km2
- The area of any triangle can be found if the data given includes:
a. The altitude, or height, and the length of the base of any triangle.
b. The length of the side of an equilateral triangle.
c. The lengths of the three sides of any triangle.
d. A and C only
e. A,B and C.
c. The lengths of the three sides of any triangle.
- The area of a sector of a circle can be determined by:
a. Area of circle minus area of triangle
b. Area of segment minus area of triangle
c. Area of triangle minus area of segment
d. Area of circle minus the angle of the sector divided by 360
e. Area of circle times the angle of the sector divided by 360
e. Area of circle times the angle of the sector divided by 360
- An octagon has sides 4 cm long. How much larger is its area than a circle with a radius which is also 4 cm long?
a. 8.66 cm2
b. 18.01 cm2
c. 22.67 cm2
d. 27.01 cm2
e. 64.72 cm2
d. 27.01 cm2
- What is the maximum side a hexagonal metal bar can be machined out from a steel rod having a diameter of 10 cm? No material is lost.
a. 2.480cm2
b. 4.318 cm2
c. 5.00 cm2
d. 5.496 cm2
e. 10.991 cm2
d. 5.496 cm2
- The length (major axis) of the shadow of a football measures 38 cm. The shadow has an area of 418 cm2. Assume that the shadow of the football is a perfect ellipse. What is the width (minor axis) of the shadow?
a. 7 cm
b. 14 cm
c. 16 cm
d. 28 cm
e. 32 cm
b. 14 cm
- A hexagon is machined from a circle having a diameter of 8 cm. How much area needs to be removed from the circle?
a. 5.012 cm2
b. 6.147 cm2
c. 6.862 cm2
d. 7.147 cm2
e. 8.862 cm2
e. 8.862 cm2
- A horizontal boiler shell is 180 cm in diameter and 5 m long. It is filled with water to a depth of 160 cm. What is the area of the segment of the end plate above the water line?
a. 1.87 m2
b. 1.98 m2
c. 2.17 m2
d. 2.24 m2
e. 2.45 m2
e. 2.45 m2
- Calculate the number of 8 cm diameter tubes that can be attached to a circular tube sheet of a heat exchanger that is 1.0 m in diameter. Assume that 50% of the sheet area is used for spacing between the tubes.
a. 72
b. 78
c. 88
d. 98
e. 156
b. 78
- A reinforced concrete beam requires a cross-sectional area of reinforcing steel equal to 25 cm2. If 2 cm diameter steel rods are used, how many will be required?
a. 6 rods
b. 7 rods
c. 8 rods
d. 10 rods
e. 12 rods
c. 8 rods
- Plane figures have length and width with:
a. No size
b. Only one straight edge
c. No thickness
d. No measurement
c. No thickness
- A sector has a radius of 5 m. It encompasses the angle of 36°. Calculate the area of this sector.
a. 7.184 m2
b. 7.854 m2
c. 8.112 m2
d. 8.334 m2
e. 9.122 m2
b. 7.854 m2
- The formula for finding the lateral surface area of a cylinder is:
a. pi D2h
b. 2 (0.7854 D2)
c. pi Dh+2 (0.7854 D2)
d. 1/2 bh
e. pi D h
e. pi D h
- The difference between a vector and a scalar is that:
a. The scalar is a quantitive measure while vector is a sign only.
b. The vector is not only a quantitive measure but also requires a directional indication while scalar is a quantitive measure only.
c. The scalar is not only a quantitive measure but also requires a directional indication while vector is a quantitive measure only.
d. The unit must be used for vectors.
b. The vector is not only a quantitive measure but also requires a directional indication while scalar is a quantitive measure only.
- A system of several vectors can be replaced by a single vector which will have the same effect, or will be equivalent to the effect created by the several vectors. This single vector is called the?
a. X component
b. Y component
c. Scalar
d. Equilibrant
e. Resultant
e. Resultant
- The equilibrant is equal in magnitude and opposite in direction to the resultant. The number of equilibrant/s in a system is?
a. one
b. two
c. three
d. four
e. unlimited
a. one
- A body can be put into equilibrium by applying an additional force equal in magnitude but opposite in direction to the:
a. resultant
b. scalar
c. equilibrant
d. component
e. vector
a. resultant
- The force that is equal in magnitude but opposite in direction to the resultant force is called:
a. The component
b. The element
c. The displacement
d. The equilibrant
e. the impedance
d. The equilibrant
- A displacement of 9 m north of point A, and another of 6 m west of point A can be added to produce a resultant displacement of:
a. 3 m N of W
b. 10 m N of W
c. 10.8 m N of W
d. 12.5 m N of W
e. 15 m N of W
c. 10.8 m N of W
- Three different methods of constructing the vector diagram are: 1. Parallelogram method 2. Graphical method 3. Polygon method 4. Analytical method 5. Method of components
a. 1, 3, 4
b. 2, 4, 5
c. 1, 3, 5
d. 2, 3, 5
c. 1, 3, 5
- Any vector may be considered to be made up of two or more other vectors which are called the:
a. Resultants
b. Scalar quantities of the resultant
c. Static of motion
d. Components of the original vector
d. Components of the original vector
- A body can be put into equilibrium by applying an additional force equal in magnitude but opposite in direction to the:
a. Scalar
b. Vector
c. Equilibriant
d. Resultant
d. Resultant
- An aircraft flies at 20° North of West at 100 km/h. The east/west component of the velocity vector is:
a. 94 km/h west
b. 34.2 km/h west
c. 36.4 km/h west
d. 30.3 km/h east
e. 18.79 km/h west
a. 94 km/h west
- The resultant of a 4 kN force acting upward and a 3 kN force acting horizontally is:
a. 1 kN
b. 5 kN
c. 7 kN
d. 12 kN
e. 6 kN
b. 5 kN
- Two slings of equal length are slung from a horizontal beam and connected to a common shackle at their lower ends. The slings and beam form an equilateral triangle. The force in one sling when a load of 100 kN hangs from the common shackle is:
a. 25 kN
b. 50 kN
c. 57.7 kN
d. 115.4 kN
e. 43.3 kN
c. 57.7 kN
- An aircraft flies northwest at 200 km/h. The velocity vector would have the following rectangular components:
a. X = 70 km/h y = 70 km/h
b. X = -141 km/h y = 141 km/h
c. X = 180 km/h y = 180 km/h
d. X = 40 km/h y= 40 km/h
e. X = 100 km/h y = 100 km/h
b. X = -141 km/h y = 141 km/h
- The minimum number of unequal forces whose vector sum can equal zero is:
a. 1
b. 2
c. 3
d. 4
e. 5
c. 3
- A 10 kN and a 5 kN force act on a body. The resultant force on the body must be:
a. Between 5 and 10 kN
b. Between 5 and 15 kN
c. More than 5 kN
d. More than 10 kN
e. Less than 5 kN
b. Between 5 and 15 kN
- Into how many components can a single vector can be resolved?
a. none
b. one
c. two
d. four
e. unlimited
c. two
- A ten newton force pushes a body ten metres along a horizontal surface and does work amounting to 100 joules.
a. True
b. False
a. True
- Analytical solutions for mechanical problems involve the use of:
a. Vectors
b. Graphs
c. Mathematics
d. Variegation
c. Mathematics
- One of the conditions that a force system in equilibrium is:
a. The sum of the upward forces must equal the sum of the downward forces.
b. The resultants of the upward forces and downward force may cause rotation.
c. The sum of all the forces must act to one direction.
d. The resultant of the forces cause an acceleration.
e. None of the above
a. The sum of the upward forces must equal the sum of the downward forces.
- One of the conditions of a force system in equilibrium is:
a. There are no forces acting parallel to each other.
b. The resultant of the forces produce an acceleration.
c. The sum of the forces to the left must equal the sum of the forces to the right.
d. All the forces in the system must act to the same direction.
e. None of the above
c. The sum of the forces to the left must equal the sum of the forces to the right.
- A wooden box is loaded and its mass is 40 kg. It is pulled horizontally by a force of 150 N which just sets it in motion. Determine the coefficient of friction.
a. 3.75 N
b. 2.616
c. 0.382
d. 0.382 N
e. 0.368
c. 0.382
- A wooden box is loaded and its mass is 40 kg. A force of 150 N just sets it in motion. If this force is increased to 170 N, what will occur?
a. The wooden box will move faster at steady velocity.
b. The wooden box will accelerate.
c. The wooden box will slow down.
d. The wooden box will stop.
e. The wooden box will continue to move at a constant velocity.
b. The wooden box will accelerate.
