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| 312312 Engineering Mechanics Important Questions for MSBTE K Scheme Exam |
Welcome to our valuable resource on 312312 Engineering Mechanics Important Questions for the MSBTE K Scheme Exam. Our aim is to provide you with a comprehensive guide to the crucial topics and concepts in Engineering Mechanics that are likely to appear on your exams. By studying these important questions and their solutions, you'll be well-prepared to tackle your exams confidently. This guide is brought to you by MSBTE All Clear, your trusted source for academic success.
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Subject Name: APPLIED MECHANICS
Course: CH/ME
Semester: II
Unit 1: MECHANICS AND FORCE SYSTEM
1) Explain the principle of transmissibility of a force. (2 marks)
2) Why is an understanding of mechanics essential for engineers? (2 marks)
3) What is force? Define its unit. (2 marks)
4) List the various coplanar force systems. (2 marks)
5) Distinguish between scalar and vector quantities. (4 marks)
6) Identify the derived units for the following:
i) Velocity
ii) Acceleration
iii) Weight
iv) Force (4 marks)
Unit 2: SIMPLE LIFTING MACHINES
1) Define Mechanical Advantage and Velocity Ratio. (2 marks)
2) What sets an ideal machine apart from an actual machine? (2 marks)
3) Provide the formula for effort lost due to friction. (2 marks)
4) Discuss the law of machines and its importance. (2 marks)
5) Define a self-locking machine and state its condition. (2 marks)
6) A screw jack raises a load of 30 KN using an effort of 400 N with a handle length of 60 cm. Given the screw pitch as 15 mm, compute the velocity ratio, mechanical advantage, and efficiency of the machine. (4 marks)
7) In a worm and worm-wheel system with an 80-tooth worm wheel, and effort wheel and load drum diameters of 200 mm and 100 mm respectively, determine the velocity ratio. (4 marks)
8) A machine with a velocity ratio of 250 operates under the law \( P = 0.01W + 5 \) expressed in Newtons. Calculate:
i) Mechanical Advantage
ii) Efficiency
iii) Effort lost due to friction at a load of 1000 N.
Determine if the machine is reversible. (4 marks)
9) Given a machine law as \( P = 0.09W + 6 \) N, calculate the effort needed to lift a 6KN load. Find the maximum mechanical advantage and classify the machine type for a velocity ratio of 20. Also, compute the frictional loss for the load. (4 marks)
Unit 3: RESOLUTION AND COMPOSITION
1) Determine the force components of a 50 N force from point (2, 2) to (2,-4). (2 marks)
2) A loaded wagon at rest on a railway track is pulled by a 1.5 KN force at a 45° angle to the track. Calculate the forward-moving force. (4 marks)
3) Resolve a 300 N force acting North-West into two components: one along North-East and the other along 30° South-West. (4 marks)
4) A man exerts a 150 N force at a 30° angle to the ground while pulling a hand roller on a cricket pitch. Determine the forward-moving force on the roller. (4 marks)
5) Decompose a 20N force into two components that are perpendicular to each other and have a ratio of 3:4. (4 marks)
6) Three forces, 20N, 40N, and 50N, act along the sides AB, BC, and AC, respectively, of an equilateral triangle with a side length of 60mm. Calculate the resultant moment about point 'A'. (4 marks)
7) Enumerate the limitations of the Law of Parallelogram of forces. (2 marks)
8) What is meant by Resultant Force? (2 marks)
9) Define the terms "resolution" and "composition" of force. (2 marks)
10) Four forces of 10N, 20N, 30N, and 40N act upwards. The horizontal distances between the 10N and 20N forces, 10N and 30N forces, and 10N and 40N forces are 2m, 4m, and 6m respectively. Determine the resultant force and its location using the analytical method. (4 marks)
11) Two forces of 10KN and 20KN act towards and away from a point, with an angle of 60° between them. Calculate their resultant. (4 marks)
12) Forces of 2KN, 3KN, 4KN, and 5KN act sequentially along the sides of a rectangle. Determine the magnitude and direction of their resultant. (4 marks)
14) Four forces of magnitudes 10N, 25N, 30N, and 50N are inclined at angles of 0°, 30°, 90°, and 150°, respectively, to the positive X-axis. Determine their resultant graphically and illustrate it on the provided sketch. (4 marks)
15) Arrange the given forces: 10KN, 35KN, 7KN, 15KN, 20KN. Calculate their resultant. (3 marks)
16) Identify the largest and smallest forces among the given forces. (2 marks)
Unit 4: Equilibrium
Q-1) Explain the relationship between the resultant and equilibrant forces. (2 Marks)
Q-2) List the analytical conditions required for the equilibrium of a coplanar concurrent force system. (2 Marks)
Q-3) Define a free body and describe what a free body diagram represents. (2 Marks)
Q-4) Describe Lami’s theorem. What are its limitations? (2 Marks)
Q-5) A sphere with a weight of 400N rests on smooth inclined surfaces inclined at 60° and 30° to the horizontal. Determine the reactions at the contact surfaces analytically. (4 Marks)
Q-6) A beam ABC is hinged at A and supported by a roller at B. The span AB is 5m, and the overhang BC is 2m. The beam carries a UDL of 20 KN/m over the span BC along with a point load of 50 KN positioned 2.5m from support A. Calculate the support reactions graphically. (4 Marks)
Q-7) A truck weighing 150KN is stopped due to a breakdown while crossing a bridge AB, which has a 20m span and is assumed to be simply supported. The truck is stopped 4m from support B. Determine the upward force needed to be exerted by the end supports if the self-weight of the bridge is 5KN/m. (4 Marks)
Q-8) A weight of 100N is suspended by a knot from two strings, attached to a horizontal beam. The strings make angles of 45° and 30° with the horizontal. Determine the tensions in the strings graphically. (4 Marks)
Unit 5: Friction
Q-1) Define the following terms:
i) Angle of friction
ii) Angle of repose
iii) Coefficient of friction. (2 Marks)
Q-2) Discuss the advantages of friction. (2 Marks)
Q-3) Explain the purpose of using lubricating oil in machines. (2 Marks)
Q-4) If a force of 20N is needed to pull a 50N body resting on a horizontal plane, calculate the coefficient of friction. (2 Marks)
Q-5) A body weighing 300N rests on an inclined plane with an angle of 17° to the horizontal. With a coefficient of friction of 0.3, determine the force required parallel to the plane to move the body upwards. (4 Marks)
Q-6) A 1500N body rests on a rough horizontal plane. A pull of 300N at an angle of 30° with the horizontal just moves the body. Determine the coefficient of friction. (4 Marks)
Q-7) A body on a horizontal plane requires an 80N pull inclined at 30° to the horizontal for movement. It's also observed that a 100N push inclined at 30° to the horizontal moves the body. Find the weight of the body and the coefficient of friction. (4 Marks)
Q-8) A 400N body rests in equilibrium on a rough inclined plane of 30°. If the angle of the plane is increased to 45°, determine the force along the plane required to maintain the body's equilibrium. (4 Marks)
Q-10) Enumerate the laws governing static friction. (4 Marks)
Unit 6: Centroid & Centre of Gravity
Q-1) Define centroid and centre of gravity. (2 Marks)
Q-2) Provide a sketch showing the Centre of Gravity (C.G.) of a hemisphere with a diameter of 200mm. (2 Marks)
Q-3) Determine the centroid of a semicircle with a radius of 100mm. (2 Marks)
Q-4) Identify the centroid of an angle section with a flange of 100 x 10mm and a web of 10 x 80mm. (4 Marks)
Q-5) A retaining wall with a height of 5.2m has one vertical side. The top width is 1.2m, and the bottom width is 3.6m. Determine its centroid. (4 Marks)
Q-6) Find the centroid of a channel section measuring 30cm x 12cm x 2cm, taken from the back of the web. (4 Marks)
Q-7) A hemisphere with a diameter of 100mm sits atop a cylinder with the same diameter. Calculate the Centre of Gravity (C.G.) of the composite solid measured from the base of the cylinder if its height is 120mm. (4 Marks)
Q-8) A solid cone has a height of 500mm and a base diameter of 200mm. If the portion above half its height is removed, determine the point where the remaining body can be balanced. (4 Marks)
Q-9) A solid cone with a base diameter of 120mm and a height of 320mm rests on a horizontal plane with its apex pointing upwards. Determine the maximum angle of tilt at which it can return to its original position. (4 Marks)