131
78.5k

310+ Applied Mechanics Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Mechanical Engineering .

151.

The centre of gravity of a plane lamina will not be at its geometrical centre if it is a

A. Square
B. Equilateral triangle
C. Circle
D. Rectangle
E. Right angled triangle
Answer» E. Right angled triangle
152.

Coulomb friction is

A. Friction between solids and liquids
B. Friction between electrically charged bodies
C. Friction between lubricated surface
D. Friction between dry surfaces
E. Friction between bodies having relative motion
Answer» D. Friction between dry surfaces
153.

A framed structure is perfect if it contains members equal to

A. n - 3
B. 2n - 3
C. 2n - 2
D. n - 2
E. 2n - 1
Answer» B. 2n - 3
154.

Coulomb's law for the force between electric charges most closely resembles

A. Newton's laws of motion
B. Law of conservation of energy
C. Gauss's theorem
D. Newton's law of gravitation
E. None of the above
Answer» D. Newton's law of gravitation
155.

A number of forces acting at a point will be in equilibrium if

A. Sum of the forces is zero
B. Algebraic sum of the forces is zero
C. Sum of the resolved parts in any two perpendicular directions are both zero
D. None of the above
E. The metacentre of the body
Answer» D. None of the above
156.

The springs A and B are identical except that A is stiffer than B, that is KA > kB. If both the springs are stretched by the same amount

A. more work will be expended on A than B
C. same work will be expended in both springs.
D. less work will be expended on A than B
E. 107 dynes
Answer» A. more work will be expended on A than B
157.

A rigid body is suspended vertically at a point and oscillates with a small amplitude under the action of the force of gravity. Such an arrangement is called

A. Simple pendulum
B. Rigid pendulum
C. Second's pendulum
D. Compound pendulum
E. Newton's pendulum
Answer» D. Compound pendulum
158.

A block slides down a frictionless incline making an angle ? with an elevator floor. The acceleration relative to the incline will be maximum when

A. the elevator ascends at constant speed v
B. the elevator descends at constant speed v
C. 107 dynes
D. elevator descends with deceleration a
E. the elevator descends with acceleration a
Answer» D. elevator descends with deceleration a
159.

An automobile is travelling at 25 m/s. It takes 0.3 second to apply the brakes after which the deceleration is 6 m/s2. How far, in meters, does the automobile travel before it stops?

A. 45
B. 107 dynes
C. 40
D. 50
E. 60
Answer» E. 60
160.

A single purchase crab has a handle 45 cm long and a drum of 25 cm diameter. The pinion has 30 teeth and spur has 150 teeth. The efficiency of the machine is 75%. If the maximum force that can be applied is 500 newtons, the maximum load that can be lifted will be

A. 9860 N
B. 6750 N
C. 20250 N
D. 1250 N
E. 13500 N
Answer» B. 6750 N
161.

A body in Simple Harmonic Motion will attain maximum velocity when it passes through

A. Point of 0.75 amplitude
B. Extreme point of the oscillation of L.H.S.
C. Point of half amplitude
D. Extreme point of the oscillation at R.H.S.
E. Mean position
Answer» E. Mean position
162.

A body of weight W is resting at a plane inclined at 30? to the horizontal. It is attached to a string making an angle of 60? with horizontal. If the angle of friction be 30? the tension in the string would be

A. Zero
B. W
C. W/2
D. 2W
E. None of the above
Answer» C. W/2
163.

A 5 m ladder of mass 25 kg is placed in a position where its inclination to a vertical wall is at 30?. A 100 kg man is to climb the ladder. If the coefficient of static friction is 0.25 the height along ladder at which the slipping will be induced would be

A. 2.4 m
B. 1.6 m
C. 0.8 m
D. 1.2 m
E. 0.5 m
Answer» C. 0.8 m
164.

Which one of the following is not the law of dry friction?

A. If friction is neglected, the reactions are always normal to the surfaces on contact
B. Friction always acts to oppose the relative motion of the free body
C. If static friction is acting, the value of the friction force may vary from zero to its maximum value
D. The force of friction is always normal to the surface
E. All of the above
Answer» D. The force of friction is always normal to the surface
165.

A 3.2 m diameter balloon is filled with Helium. The total weight of balloon, gas and pay load is 10 kg kg. In an isothermal atmosphere having conditions identical to N.T.P. the balloon will rise to a height of about

A. 6000 m
B. 1500 m
C. 3000 m
D. 2000 m
E. 1000 m
Answer» A. 6000 m
166.

The statement the resultant of the external forces applied to a body (rigid or non-rigid) composed of a system of particles is equivalent to the vector summation of the effective forces acting on all particles-is known as

A. Corollary to Newton's laws of motion
B. Principle of dynamics
C. D' Alembert's principle
D. Nowton's law
E. Mohr's principle
Answer» C. D' Alembert's principle
167.

The moment of a force

A. Occurs about a point
B. Measures the capacity to do useful work
C. Occurs only when bodies are in motion
D. Measures the ability to produce turning or twisting about an axes
E. None of the above
Answer» D. Measures the ability to produce turning or twisting about an axes
168.

In a slider crank mechanism, the crank is rotating at 200 rpm. If length of connecting rod is 8 mts and crank shaft is 2 mts, velocity of crosshead at 30? rotation of crank shaft equals.

A. 30.2 m/s
B. 33.2 m/s
C. 35.8 mts/s
D. 107 dynes
E. 25.5 m/s
Answer» E. 25.5 m/s
169.

If the angle of friction is zero a body will experience

A. Infinite friction
B. Zero friction
C. The force of friction will act normal to the plane
D. The force of friction will act in the direction of motion
E. None of the above
Answer» B. Zero friction
170.

The excape velocity for the moon is nearly

A. 5 km/s
B. 11.2 km/s
C. 107 dynes
D. 2.4 km/s
E. 1.1 km/s
Answer» D. 2.4 km/s
171.

Williot-Mohr diagram is used to determine

A. slope of beams
B. 107 dynes
C. deflection in beams
D. deflection in trusses
E. slope of trusses
Answer» D. deflection in trusses
172.

A body is pushed with a force of 10 N for 0.5 second. The impulse given to the body is

A. 107 dynes
B. 50 Ns
C. 3.5 Ns
D. 5 Ns
E. 2.5 Ns
Answer» D. 5 Ns
173.

A couple applied to a flywheel of mass 5 kg and of radius of gyration 20 cm produces an angular acceleration of 4 radians/sec2. The torque applied in dyne cm is

A. 8 x 104
B. 8 x 106
C. 8 x 107
D. 8 x 108
E. 8 x 1010
Answer» B. 8 x 106
174.

The tension T2 will be

A. 60 N
B. 5 N
C. 107 dynes
D. 15 N
E. 30 N
Answer» E. 30 N
175.

The number of revolutions through which a pulley will rotate from rest if its angular acceleration is increased uniformly from zero to 12 rad per sec2 during 4 sec and then uniformly decreased to 0 rad per sec2 during the next 3 sec would be

A. 46.4
B. 26.74
C. 11.6
D. 3.2
E. 17.7
Answer» B. 26.74
176.

The angular velocity of hour hand of a watch is

A. 0.0001745 sec-1
B. 0.0001455 sec-1
C. 0.0000145 sec-1
D. 0.1045 sec-1
E. 0.001745 sec-1
Answer» B. 0.0001455 sec-1
177.

A plane is inclinea at angle ? to horizontal. If a body can just rest on a plane, determine the least force to draw the body up the plance

A. W sin2?
B. 2 W cos2?
C. 107 dynes
D. W cos2?
E. 2 W sin2?
Answer» A. W sin2?
178.

A stone is dropped into a deep shaft without any initial velocity. The sound of the stone hitting the bottom is heard after 4 seconds. If the velocity of sound is 330 m/sec the depth of the shaft will be

A. 33.1 m
B. 660 m
C. 165 m
D. 66.2 m
E. 330 m
Answer» D. 66.2 m
179.

Maximum acceleration in above problem is

A. 107 dynes
B. 2?2/3 m/s2
C. ?2/s m/s2
D. 3?2 m/s2
E. 4?2/9 m/s2
Answer» E. 4?2/9 m/s2
180.

A body weighing 500 kg falls 8 cm and strikes a 500 kg/cm spring. The deformation of the spring will be

A. ?8 cm
B. 8 cm
C. 4 cm
D. 20.5 cm
E. 2 cm
Answer» C. 4 cm
181.

Given that the area of a figure varies as square of mean ordinate. The area of the figure is 154 sq. cm when the mean ordinate is 7 cm. The area of the figure when mean ordinate is 10.5 cm will be

A. 364.9 cm
B. 364.5 cm
C. 360.6 cm
D. 346.5 cm
E. 356.3 cm
Answer» D. 346.5 cm
182.

The weight of a 72 kg man on earth's surface is

A. 100.3 N
B. 72 N
C. 107 dynes
D. 706.3 N
E. 760 N
Answer» D. 706.3 N
183.

If four turms of rope around a horizontal post will hold a 100 kg weight with a pull of 1 kg, then

A. 107 dynes
B. 0.25
C. 0.18
D. 0.3
E. 0.11
Answer» C. 0.18
184.

In the second system of pulleys, if there are two pulley blocks having 'n1' and 'n2' pulleys in the first and second pulley blocks respectively, then the velocity ratio of the whole system will be equal to

A. 2n1 + n2
B. n1 - n2
C. 107 dynes
D. 2n1 + 2n2
E. n1 + n2
Answer» B. n1 - n2
185.

The power of a locomotive is 315 kW and the total weight of the train is 2000 kN. If the track resistance is 15 N per kN, the maximum speed that the locomotive can attain on level track will be

A. 43 kmph
B. 83 kmph
C. 103 kmph
D. 107 dynes
E. 38 kmph
Answer» E. 38 kmph
186.

A particle is of wieght 8 kg. When it is allowed to fall under the force of gravity its momentum at the time t = 2 sec would be

A. 8 kg sec
B. 32 kg sec
C. 2 kg sec
D. 16 kg sec
E. 48 kg sec
Answer» D. 16 kg sec
187.

The maximum velocity of a body in SHM with amplitude of 150 mm and a frequency 2 vibrations/sec is equal to

A. 1.885 m/sec
B. 0.01885 m/sec
C. 0.1885 m/sec
D. 18.55 m/sec
E. 185.5 m/sec
Answer» A. 1.885 m/sec
188.

A wheel 8 mts in diameter coasts to rest from a speed of 800 rpm in 10 minutes. Its angular deceleration is

A. 308/min2
B. 683 rad/min2
C. 502 rad/min2
D. 107 dynes
E. 809 rad/min2
Answer» C. 502 rad/min2
189.

The moment of inertia of a hollow circular section whose external diameter is 8 cm and interial diameter is 6 cm about the axis passing through its centre is

A. 66.8 cm4
B. 137.5 cm4
C. 550 cm4
D. 33.4 cm4
E. 275 cm4
Answer» B. 137.5 cm4
190.

A rope of weight 0.5 kg/m hangs from a drum for a height of 6 m. The work done in winding up the rope will be

A. 9 kg-m
B. 3 kg-m
C. 12 kg-m
D. 18 kg-m
E. 6 kg-m
Answer» A. 9 kg-m
191.

The x coordinate of the centroid of the area enclosed by the parabolas y = x2 and x = y2 will be

A. 107 dynes
B. 0.44
C. 0.43
D. 0.45
E. 0.46
Answer» D. 0.45
192.

According to Kepler's law of motion the square of the time period T of a planet around the sun is proportional to the

A. mean distance
B. square of the mean distance of planet from sun
C. cube of the mean distance of planet from sun
D. 107 dynes
E. 3/2 power of the mean distance
Answer» C. cube of the mean distance of planet from sun
193.

Let the only force acting on two bodies be their mutual interactions. If both bodies start from rest, the distances travelled by each will be a

A. proportional to the respective masses of the bodies
B. 107 dynes
C. inversely proportional to the respective masses of the bodies
D. directly proportional to the square of the respective masses of the bodies
E. inversely proportional to the square of the respective masses of the bodies
Answer» C. inversely proportional to the respective masses of the bodies
194.

Kinetic friction is

A. Maximum value of frictional force when a body is about to move
B. Friction between two well lubricated bodies
C. Friction force acting when the body is in motion
D. Driction force which keeps a body in motion
E. None of the above
Answer» C. Friction force acting when the body is in motion
195.

When two forces acting at a point are such that if the direction of one is reversed, the direction of the resultant is turned through a right angle, the forces must be

A. inclined at more than 90?
B. inclined at less than 90?
C. equal in magnitude
D. acting at 180?
E. 107 dynes
Answer» C. equal in magnitude
196.

If w is the angular velocity of the pulley and T1 and T2 are tensions of driving and driven side then power transmitted equals

A. (T1 + T2) w
B. (T1 + 2T2) w
C. 107 dynes
D. (T1 - T2) w
E. wT1
Answer» D. (T1 - T2) w
197.

The ideal angle of banking provided on roads

A. Depends on (velocity)2 of vehicle
B. Depends on the nature of road surface
C. Depend on coefficient of friction between the road and the vehicle cantact point
D. Depends on weight of the vehicle
E. All above
Answer» A. Depends on (velocity)2 of vehicle
198.

The moment of inertia of a thin ring about an axis perpendicular to plane of ring is

A. 1/3 Mr3
B. Mr2
C. Mr
D. Mr3
E. 1/2 Mr3
Answer» B. Mr2
199.

A 2 kg block is dropped from a height of 4 metre onto a spring of force constant k = 1960 N/m. The spring will be compressed through

A. 1 cm
B. 4.5 cm
C. 3 cm
D. 8 cm
E. 107 dynes
Answer» D. 8 cm
200.

A boy sitting in a rail road car throws a ball straight up into the air. The ball will fall back into his hands when the rail road car is

A. moving at constant velocity
B. accelerating forward while going around a curve of radius equal to the maximum height attained by the ball
C. 107 dynes
D. accelerating forwardA block A is dropped down a smooth inclined plane, while another identical block B is released for free fall from the same height
E. decelerating
Answer» A. moving at constant velocity

Done Studing? Take A Test.

Great job completing your study session! Now it's time to put your knowledge to the test. Challenge yourself, see how much you've learned, and identify areas for improvement. Don’t worry, this is all part of the journey to mastery. Ready for the next step? Take a quiz to solidify what you've just studied.