MCQ in Engineering Mechanics Part 2 | ECE Board Exam

This is the Multiple Choice Questions Part 2 of the Series in Engineering Mechanics as one of the General Engineering and Applied Sciences (GEAS) topics. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize yourself with each and every question compiled here taken from various sources including past Board Questions in General Engineering and Applied Sciences (GEAS) field, GEAS Books, Journals, and other GEAS References.

Continue Practice Exam Test Questions Part 2 of the Series

⇐ MCQ in Engineering Mechanics Part 1 | ECE Board Exam

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51. “The condition of equilibrium or motion of a rigid body remains unchanged if a force acting at a given point of the rigid body is replaced by a force of same magnitude and direction, but acting at a different point provided that the two forces have the same line of action”. This statement is known as ______.

A. Pappus Propositions

B. Principle of Transmissibility

C. Parallelogram Law

D. Varignon’s Theorem

52. “If two forces acting simultaneously on a particle can be represented by the two sides of a triangle taken in order that the third side represents the resultant in the opposite order”. This statement is known as ______.

A. Principle of Transmissibility

B. Parallelogram Law

C. Varignon’s Theorem

D. Triangle Law of Forces

53. “If a number of concurrent forces acting simultaneously on a particle, are represented in magnitude and direction by the sides of polygon taken in order, then the resultant of this system of forces is represented by the closing side of the polygon in the opposite in the opposite order”. This statement is known as _____.

A. Principle of Transmissibility

B. Parallelogram Law

C. Polygon Law

D. Triangle Law of Forces

54. A beam with more than one supports is called ______.

A. cantilever beam

B. simple beam

C. complex beam

D. continuous beam

55. A truss consisting of coplanar members is called _____.

A. plane truss

B. space truss

C. ideal truss

D. rigid truss

56. A truss consisting of non-coplanar members is called ______.

A. plane truss

B. space truss

C. ideal truss

D. rigid truss

57. What method of determining the bar force of a truss if only few members are required?

A. Methods of joints

B. Method of section

C. Maxwell’s diagram

D. Method of superposition

58. Which of the following statements about friction is FALSE?

A. The direction of frictional force on a surface is such as to oppose the tendency of one surface to slide relative to the other.

B. The total frictional force is dependent on the area of contact between the two surfaces.

C. The magnitude of the frictional force is equal to the force which tends to move the body till the limiting value is reached.

D. Friction force is always less than the force required to prevent motion.

59. In the analysis of friction, the angle between the normal force and the resultant force _____ the angle of friction.

A. may be greater than or less than

B. is greater than

C. is less than

D. is equal to

60. When a block is place on an inclined plane, its steepest inclination to which the block will be in equilibrium is called _______.

A. angle of friction

B. angle of reaction

C. angle of normal

D. angle of repose

61. What is usually used to move heavy loads by applying a force which is usually smaller that the weight of the load?

A. Axle

B. Incline plane

C. Wedge

D. Belt

62. The angle of inclined plane of a jack screw is also known as ______.

A. angle of thread

B. angle of lead

C. angle of friction

D. angle of pitch

63. Center of gravity for a two dimensional body is the point at which the entire _____ acts regardless of the orientation of the body.

A. mass

B. weight

C. mass or weight

D. volume

64. Second moment of area is the product of:

A. area and square of the distance from the reference axis

B. area and distance from the reference axis

C. square of the area and distance from the reference axis

D. square of the area and square of the distance from the reference axis

65. Moment of inertia of an area about an axis is equal to the sum of moment of inertia about an axis passing through the centroid parallel to the given axis and _______.

A. area and square of the distance between two parallel axes

B. area and distance between two parallel axes

C. square of the area and distance between two parallel axes

D. square of the area and square of the distance between two parallel axes

66. What is the unit of mass moment of inertia?

A. kg-m⁴

B. kg-m³

C. kg-m

D. kg-m²

67. The number of independent degrees of freedom is:

A. Square root of the square of the difference of total degrees of freedom – number of constrain equations

B. Square root of the total degrees of freedom – number of constrain equations

C. Total degrees of freedom – number of constrain equations

D. Total degrees of freedom – half the number of constrain equations

68. What velocity is normally referred to as the derivative of position vector with respect to time?

A. Decreasing velocity

B. Average velocity

C. Instantaneous velocity

D. Increasing velocity

69. What refers to a force by which work done on a particle as it moves around any closed path is zero?

A. Natural force

B. Virtual force

C. Conservative force

D. Non-conservative force

70. When a force causes a change in mechanical energy when it moves around a closed path, it is said to be ______ force.

A. natural

B. virtual

C. conservative

D. non-conservative

71. The following are quantities that describe motion and uses Newton’s law of motion and d’Alembert’s principle except one. Which one?

A. Time

B. Mass

C. Acceleration

D. Force

72. Which of the following set of quantities that describe motion and uses the principle of work and energy?

A. Force, mass, velocity, time

B. Force, mass, acceleration

C. Force, mass, distance, velocity

D. Force, weight, distance, time

73. Which of the following set of quantities that describe motion and uses the principle of impulse and momentum?

A. Force, mass, velocity, time

B. Force, mass, distance, velocity

C. Force, mass, distance, velocity

D. Force, weight, distance, time

74. The principles of kinetics of particles are derived from which law?

A. Newton’s first law

B. Newton’s second law

C. Newton’s third law

D. d’Alembert’s principle

75. What type of impact is when the motion of one or both of the colliding bodies is not directed along the line impact?

A. Central impact

B. Eccentric impact

C. Direct impact

D. Oblique impact

76. What type of impact is when the centers of mass of colliding bodies are not located on the line of impact?

A. Central impact

B. Eccentric impact

C. Direct impact

D. Oblique impact

77. If the coefficient of restitution is zero, the impact is ______.

A. partially plastic

B. perfectly inelastic

C. perfectly elastic

D. partially elastic

78. A uniform circular motion can be considered as a combination of ______.

A. linear velocity and impulse

B. simple harmonic motion and momentum

C. two simple harmonic motions

D. rectilinear translation and curvilinear translation

79. The motion of a particle is defined by the relation x = (1/3)t³ – 3t² + 8t + 2 where x is the distance in meters and is the time in seconds. What is the time when the velocity is zero?

A. 2 seconds

B. 3 seconds

C. 5 seconds

D. 7 seconds

80. A particle moves along a straight line with the equation x = 16t + 4t² – 3t³ where x is the distance in ft and t is the time in second. Compute the acceleration of the particle after 2 seconds.

A. –28 ft/s²

B. –30 ft/s²

C. –17 ft/s²

D. –24 ft/s²

81. Two cars A and B traveling in the same direction and stopped at a highway traffic sign. As the signal turns green car A accelerates at constant rate of 1 m/s². Two seconds later the second car B accelerates at constant rate of 1.3 m/s². When will the second car B overtakes the first car A?

A. 16.27 s

B. 30.45 s

C. 20.32 s

D. 10.45 s

82. Two buses start at the same time towards each other from terminals A and B, 8 km apart. The time needed for the first bus to travel from A to B is 8 minutes, and of the second bus from B to A is 10 minutes. How much is the time needed by each bus to meet each if they traveled at their respective uniform speeds?

A. 5.45 min

B. 10.7 min

C. 4.44 min

D. 2.45 min

83. A train changes its speed uniformly from 60 mph to 30 mph in a distance of 1500 ft. What is its acceleration?

A. –1.94 ft/s²

B. 2.04 ft/s²

C. –2.04 ft/s²

D. 1.94 ft/s²

84. A car starts from rest and has a constant acceleration of 3 ft/s². Find the average velocity during the first 10 seconds of motion.

A. 13 ft/s

B. 15 ft/s

C. 14 ft/s

D. 20 ft/s

85. A man aimed his rifle at the bull’s eye of a target 50 m away. If the speed of the bullet is 500 m/s, how far below the bull’s eye does the bullet strikes the target?

A. 5.0 cm

B. 6.8 cm

C. 5.7 cm

D. 6.0 cm

86. A man driving his car at a constant rate of 40 mph suddenly sees a sheep crossing the road 60 feet ahead. Compute the constant deceleration (in feet/second²) required to avoid hitting the sheep? Assume a reaction time of 0.5 second before the man applies the brake.

A. 34.65

B. 44.54

C. 55.65

D. 67.87

87. A ball is thrown vertically into the air at 120 m/s. After 3 seconds, another ball is thrown vertically. What is the velocity must the second ball have to pass the first ball at 100 m from the ground?

A. 105.89 m/s

B. 107.72 m/s

C. 108.12 m/s

D. 110.72 m/s

88. A ball is dropped from a height of 60 meters above ground. How long does it take to hit the ground?

A. 2.1 s

B. 3.5 s

C. 5.5 s

D. 1.3 s

89. A ball is thrown vertically upward from the ground and a student gazing out of the window sees it moving upward pass him at 5 m/s. The window is 10 m above the ground. How high does the ball go above the ground?

A. 15.25 m

B. 14.87 m

C. 9.97 m

D. 11.28 m

90. A ball thrown vertically upward with an initial velocity of 3 m/s from the window of a tall building. The ball strikes the sidewalk at the ground level 4 seconds later. Determine the velocity with which the ball strikes the ground.

A. 39.25 m/s

B. 38.50 m/s

C. 37.75 m/s

D. 36.24 m/s

91. A player throws a baseball upward with an initial velocity of 30 ft/sec and catches it with a baseball glove. When will the ball strike the glove? Assume the glove is position in the same elevation when the ball left his hand.

A. 0.48 s

B. 0.60 s

C. 1.20 s

D. 1.86 s

92. A highway curve has a super elevation of 7 degrees. What is the radius of the curve such that there will be no lateral pressure between the tires and the roadway at a speed of 40 mph?

A. 265.71 m

B. 438.34 m

C. 345.34 m

D. 330.78 m

93. A baseball is thrown a horizontal plane following a parabolic path with an initial velocity of 100 m/s at an angle of 30o above the horizontal. Solve the distance from the throwing point that the ball attains its original level.

A. 890 m

B. 883 m

C. 858 m

D. 820 m

94. Compute the minimum distance that a truck slides on a horizontal asphalt road if it is traveling at 20 m/s? The coefficient to sliding friction between asphalt and rubber tire is at 0.50. The weight of the truck is 8000 kg.

A. 40.8

B. 48.5

C. 35.3

D. 31.4

95. A projectile is fired from a cliff 300 m high with an initial velocity of 400 m/s. If the firing angle is 30o from the horizontal, compute the horizontal range of the projectile.

A. 15.74 km

B. 14.54 km

C. 12.31 km

D. 20.43 km

96. A 25 g mass bullet was fired at the wall. The bullet’s speed upon hitting the wall is 350 m/s. What is the average force (in Newton) if the bullet penetrates 10 cm?

A. 14,543.2 N

B. 11,342.2 N

C. 10,543.3 N

D. 15,312.5 N

97. A girl tied 80 gram toy plane of a string which he rotated to form a vertical circular motion with a diameter a 1000 mm. Compute for the maximum pull exerted on the string by the toy plane if got loose leaving at the bottom of the circle at 25 m/s.

A. 0.002 kN

B. 0.05 kN

C. 0.2 kN

D. 0.1 kN

98. A gun is shot into a 0.50 kN block which is hanging from a rope of 1.8 m long. The weight of the bullet is equal to 5 N with a muzzle velocity of 320 m/s. How high will the block swing after it was hit by the bullet?

A. 0.51 m

B. 0.53 m

C. 0.32 m

D. 0.12 m

99. A train weighing 1000 KN is being pulled up a 2% grade. The train’s resistance is 5N/kN. The train’s velocity was increased from 6 to 12 m/s in a distance of 300 m. Compute the maximum power developed by the locomotive.

A. 600 kW

B. 450 kW

C. 520 kW

D. 320 kW

100. Determine the angle of super elevation for a highway curve of 600 ft radius so that there will be no side thrust for a speed of 45 mph.

A. 13.45°

B. 12.71°

C. 11.23°

D. 10.45°

101. An airplane acquires a take-off velocity of 150 mph on a 2-mile runway. If the plane started from rest and the acceleration remains constant, what is the time required to reach take-off speed?

A. 40 s

B. 45 s

C. 58 s

D. 96 s

102. Water drops from a faucet at the rate of 4 drops per second. What is the distance between two successive drops 1 second after the first drop has fallen.

A. 5.32 ft

B. 8.24 ft

C. 7.04 ft

D. 9.43 ft

103. A body which is 16.1 lb rests on a horizontal plane and acted upon by a 10-lb force. Find the acceleration of the body if the coefficient of friction between the plane and the body is 0.2. Note: 1 lbf = 32.2 lbm-ft/s².

A. 12.34 ft/s²

B. 11.57 ft/s²

C. 15.57 ft/s²

D. 13.56 ft/s²

104. A man on an elevator weighs 180 lbf. Compute the force exerted by the man on the floor of the elevator if it is accelerating upward at 5 ft/s².

A. 207.95 lbf

B. 210.45 lbf

C. 190.56 lbf

D. 205.54 lbf

105. A 10-lb stone is fastened to a 2-ft cord and is whirled in a vertical circle. Determine the tension in the cord when it is rotated at 100 rpm.

A. 47.95 lbf

B. 58.08 lbf

C. 19.56 lbf

D. 20.54 lbf

106. An archer must split the apple atop his partner’s head from a distance of 30 m. The arrow is horizontal when aimed directly to the apple. At what angle must he aim in order to hit the apple with the arrow traveling at a speed of 35 m/s.

A. 8.35°

B. 10.55°

C. 3.25°

D. 6.95°

107. A hollow spherical shell has a radius of 5 units and mass of 10. What is its mass moment of inertia?

A. 108.45

B. 123.34

C. 187.54

D. 165.67

108. A coin 20mg is place on the smooth edge of a 25 cm-radius phonograph record as the record is brought up to its normal rational speed of 45 rmp. What must be the coefficient of friction between the coin and the record if the coin is not to slip off?

A. 0.45

B. 0.56

C. 0.64

D. 0.78

109. The acceleration due to gravity on the moon is 1.67m/s2. If an astronaut can throw a ball 10 m straight upward on earth, how high should this man be able to throw the ball on the moon? Assume that the throwing speeds are the same in the two cases.

A. 58.67

B. 50.84

C. 65.67

D. 45.67

110. A tennis ball is dropped into a cement floor from a height of 2 m. It rebounds to a height of 1.8 m. What fraction of energy did it lose in the process of striking the floor?

A. One-tenth

B. One-fourth

C. One-third

D. One-seventh

111. A car is a rest on a sloping driveway. By experiment the driver releases the brake of the car and let the car move at constant acceleration. How fast will the car be moving when it reaches the street? Note: The street is 4 m below the original position of the car.

A. 8.86 m/s

B. 50.45 m/s

C. 6.65 m/s

D. 9.65 m/s

112. A solid sphere is placed at the top of a 45° incline. When released, it freely rolls down. What will be its linear speed at the foot of the incline which is 2.0 m below the initial position of the cylinder?

A. 4.86 m/s

B. 5.29 m/s

C. 6.43 m/s

D. 3.55 m/s

113. A ball is dropped from a height y above a smooth floor. How high will rebound if the coefficient of restitution between the ball and the floor is 0.60?

A. 0.45y

B. 0.40y

C. 0.60y

D. 0.36y

114. A ball is thrown at an angle of 32.5° from the horizontal towards a smooth floor. At what angle will it rebound if the coefficient of between the ball and the floor is 0.30?

A. 11.33°

B. 8.67°

C. 9.12°

D. 10.82°

115. A 1.62-ounce marble attains a velocity of 170 mph (249.3 ft/s) in a hunting slingshot. The contract with the sling is 1/15th second. What is the average force on the marble during contact?

A. 12.54 lbf

B. 14.56 lbf

C. 11.75 lbf

D. 10.67 lbf

116. A man weighs 128 lb on the surface of the earth (radius = 3960 miles). At what distance above the surface of the earth would he weight 80 lb?

A. 3000 miles

B. 2345 miles

C. 7546 miles

D. 1049 miles

117. A steel wheel 800 mm in diameter rolls on a horizontal steel rail. It carries a load of 700 N. The coefficient of rolling resistance is 0.250 mm. What is the force P necessary to roll the wheel along the rail?

A. 0.34 N

B. 0.54 N

C. 0.44 N

D. 0.14 N

118. An electron strikes the screen of the cathode ray tube with a velocity of 10 to the 9th power cm/s. Compute its kinetic energy in erg. The mass of an electron is 9 x 10^-31 kg?

A. 4.5 x 10^-10 erg

B. 3.0 x 10^-10 erg

C. 2.5 x 10^-10 erg

D. 1.5 x 10^-10 erg

119. One calculates the work of a force on a rigid body exactly the same as one would calculate the work for a particle.

A. power of a couple

B. work of a force

C. work of a couple

D. work-energy relation

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