(Please write your Roll No. immediately) Mid Term Examination. Regular (Feb 2017)

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1 (Please write your Roll No. immediately) Roll No... Mid Term Examination Regular (Feb 2017) B.Tech-II sem Sub-Engineering Mechanics Paper code- ETME-110 Time-1.5 hours Max Marks-30 Note: 1. Q.No. 1 is compulsory 2. Attempt any two more questions from the remaining three questions. Q1. (a) How will you distinguish between static and kinetic friction? (2) (b) From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate. Find the centroid of the remainder from the centre of circular plate. (2) (c) State the basic assumptions made while making an analysis of a perfect truss. (2) (d) State parallel axis theorem as applied to Area Moment of Inertia. (2) (e) Define the terms Mechanical advantage and Velocity ratio of Screw jack. (2) Q2. (a) In a jib crane, the jib and the tie rod are 5 m and 4 m respectively. The height of the crane post is 3 m and the rod remains horizontal. Determine the forces produced in the jib and tie rod when a load of 2 KN is suspended at the crane head. (Fig.1) (4) Fig.1 Fig.2 (b) A 7 m long ladder rests against a vertical wall, with which it makes an angle of If a man whose weight is one half of the weight of the ladder, climbs it, at what distance along the ladder will he be, when the ladder is about to slip? The coefficient of friction between the ladder and wall is 1/3 and that between the ladder and the floor is 1/2. (Fig.2) (6)

2 Q3. (a) For a flat belt drive, prove that T 1 /T 2 = e µθ (4) (b) Determine the forces in all the members of the truss loaded and supported as shown in fig.3 (6) Fig.3 Q4. (a) A uniform wire has been bent in the form of a quadrant of the arc of the circle of radius r. Find the location of its centroid. (4) (b) Find the Moment of Inertia of the area shown shaded in fig.4 about edge AB. (6) Fig.4

3 (Please write your Roll No. immediately) Roll No... Mid Term Examination Reappear (New scheme) Feb, 2017 B.Tech-II sem Sub-Engineering Mechanics Paper code- ETME-110 Time-1.5 hours Max Marks-30 Note: 1. Q.No. 1 is compulsory 2. Attempt any two more questions from the remaining three questions. Q1. (a) How will you distinguish between static and kinetic friction? (2) (b) Discuss Parallelogram law of forces. (2) (c) State the basic assumptions made while making an analysis of a perfect truss. (2) (d) State parallel axis theorem as applied to Area Moment of Inertia. (2) (e) Define the terms Mechanical advantage and Velocity ratio of Screw jack. (2) Q2. (a) A body of weight 500 N is pulled up an inclined plane, by a force of 350 N. The inclination of the plane is 30 0 to the horizontal and the force is applied parallel to the plane. Determine the coefficient of friction. (4) (b) Determine the reactions at A and B. (Fig.1) (6) Fig.1 Q3. (a) For a flat belt drive, prove that T 1 /T 2 = e µθ (4)

4 (b) Determine the forces in the members AE, AB and ED of the truss loaded and supported as shown in fig.2 by the Method of joints. (6) Fig.2. Q4. (a) A uniform wire has been bent in the form of a quadrant of the arc of the circle of radius r. Find the location of its centroid. (4) (b) Find the Area Moment of Inertia of the T-sectionas shown in Fig. 3 about the centroidal x and y axis. (6) Fig.3.

5 (Please write your Roll No. immediately) Roll No... First Term Examination Reappear (old scheme) Feb, 2017 B.Tech-II sem Sub-Engineering Mechanics Paper code- ETME-110 Time-1.5 hours Max Marks-30 Note: 1. Q.No. 1 is compulsory 2. Attempt any two more questions from the remaining three questions. Q1. (a) How will you distinguish between static and kinetic friction? (2) (b) Define cone of friction. (2) (c) State the basic assumptions made while making an analysis of a perfect truss. (2) (d) State perpendicular axis theorem as applied to Area Moment of Inertia. (2) (e) Explain the theorem of Pappus and Guldinus for determining the surface area. (2) Q2. (a) A body of weight 500 N is pulled up an inclined plane, by a force of 350 N. The inclination of the plane is 30 0 to the horizontal and the force is applied parallel to the plane. Determine the coefficient of friction. (4) (b) A 7 m long ladder rests against a vertical wall, with which it makes an angle of If a man whose weight is one half of the weight of the ladder, climbs it, at what distance along the ladder will he be, when the ladder is about to slip? The coefficient of friction between the ladder and wall is 1/3 and that between the ladder and the floor is 1/2. (Fig.1) (6) Fig.1.

6 Q3. (a) For a flat belt drive, prove that T 1 /T 2 = e µθ (4) (b) Determine the forces in the members DG, DF and EF of the truss loaded and supported as shown in fig.2. (6) Fig.2 Q4. (a) Locate the centroid of the area of the parabolic shaded portion as shown in fig.3. (4) Fig.3 Fig.4 (b) Find the Moment of Inertia of the area shown shaded in fig.4. about edge AB. (6)

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