GE6253 Engineering Mechanics Question Bank : reccbe.ac.in

Name of the College : Ranganathan Engineering College
Department : Mechanical Engineering
Subject : Engineering Mechanics
Website : reccbe.ac.in
Document Type : Question Bank

Download Model/Sample Question Paper :
https://www.pdfquestion.in/uploads/re…ECHANICS-2.doc
https://www.pdfquestion.in/uploads/re…_MECHANICS.doc

RECCBE Engineering Mechanics Question Paper

Part-A

1.Two forces 60N and 65N act on a screw at an angle of 25° and 85°From the base. Determine the magnitude and direction of their resultant.
2.The force system shown in fig.below has a resultant of 900N pointing up along +ve y axis.find the value of F and ? required to give this resultant.

Related : Teerthanker Mahaveer University EME101 Engineering Mechanics B.Tech Question Paper : www.pdfquestion.in/5767.html

3.Find the resultant of an 800N forces acting towards eastern direction and a 500N forces acting towards north eastern directions.
4.Distinguish the following types of forces with suitable sketech : (a)collinear (b)coplanar
5.A man has a mass of 72 kg is standing on a board inclined 20° with the horizontal.Find the component of man’s weight (A) perpendicular to the plane of the board (B)paraleel to the plane of the board.

6.Two wires are attached to a bolt in a foundation as shown in fig.below.determine the pull exerted by the bolt on the foundation.
7.Sketch the free body diagram of the cylinder B shown in fig below.

8.Determine the resultant of the three forces, F1=2i+3.3j-2.6k;F2=-i+5.2j-2.9k;F3=8.3i-6.6j+5.8k which are concurrent at the point(2,2,-5).the forces are in N and the distances are in metres.
9.The line of action of a 100N force F passes through the points A(2,5,8)m and B(7,2,6)m.The direction of the forces is from A to B.Express F interms of the unit vectors I,j,k.
10.A force of 500N forms angles 60°,45° and 120° respectively with x,y, and z axis.Write the force in vector form.

11.A force of magtinude 750N is directed along AB where A is (0.8,0,1.2)m andB is (1.4,1.2,0).Write the vector form of the force.
12.A force F=700i+1500j is applied to a bolt A.Determine the magnitude of the force and the angle it forms with the horizontal.
13.Three couples +12Nm,-35Nm and +100Nm are acting in the xy,yz and xy.Write the vector form. 14.If A=2i-3j-3k,B=-4i+3j-5k,C=2i+4j-3k,Find the vector 2A-B+2C interms of I,j,k and its magnitude. 15.compute the moment f the 200N force about point A and B. 16.State and prove varignon’s theorem.
17.How many equations of equilibrium are defined for a concurrent force system and coplanar forces system.
18.Explain the concept of reducing a system of forces to an equivalent Forces couple system.
19.Three couples +16Nm,-45Nm and+120Nm are acting in the xy,yz and xz plane respectively.Determine the magnitude of the resultant vector of these three couples.
20.Write the equations which express the conditions for the equilibrium of the rigid body
21.State the equations of equilibrium of a coplanar system of forces.
22.what is meant by free body diagram.
23.what is meant by free body diagram of a rigid body.
24.write the condition of equilibrium of a system of parallel forces acting into a plane.
25.State the theorem of the pappus.
26.By using pappus theorem , Determine the volume of sphere having radius r.
27.state the location of centroid of semicircle arc whose radius is r,with a sketch.
28.State and prove the parallel axis theorem.
29.State perpendicular axis theorem.
30.A force F=10i+8j-5kN acts at the point A(2,5,6)m.What is the moment of the force about the point B(3,1,4)m?

Part-B

1.The bar AC ,10m long supports a load of 6000N as shown below.The cable BC is horizontal and 5m long.Determine the forces in the cable and the bar.
2.Determine the tension in cables AB and AC require to hold the 40kg crate shown in fig below.
3.A 30kg block is suspended by two strings having stiffness as shown.Determine the un-stretched length of each spring after the block is removed.
4.A force F acts at the origin of a co ordinate system in a directions defined by the angles ?x=69.3° and ?z=57.9°.If the component of the forceF along y direction is -174N,determine 1) The angle ?y 2)The other components of the force F3) The magnitude of the force F.
5. Determine the reactions at the supports A and B of the truss shown in fig.
6.find the pin reaction at A and the knife edge reaction at B.
7.Determine the horizontal and vertical components of reaction for the beam loaded as shown in fig below.neglect the weight of the beam in the calculations.
8.Find the centroid of the shaded area shown below.
9. Find the centroid of the shaded area shown below.
10.Find the second moments of area (moments of inertia) Ixc xc and Iyc yc about the centroidal axis parallel to x and y axis for the area shown below.
11.For the plane area shown below, determine the area moment of inertia and radius of gyration about the x axis.
12. Determine the moment of inertia of beam,cross sectional area show below about the x and y centroidal axis.
13.calculate moment of inertia and of gyration about the x axis for the sectioned area show below.
14. Determine the second moment of area of the section shown in fig.below about its base axis a-a.
15.Compute second moment of area of the plane surface shown below about its horizontal centroidal axis.
16.In the fig. below a solid is formed by joining a hemisphere ,a cylinder & a cone ,all made out of same material.Find the location of the centroid of this solid in the z axis.
17.A frame supported at A &B is subjected to forces of 500N as below.compute the reaction at support points for the cases of ?=0 ,?=90° &?=60°
18.Aplate ABCD in the shape of parallelogram is acted upon by two couples as shown in fig.Determine the angle ßif the resultant couple is 1.8Nm clockwise.
19. Determine the magnitude and angle ? of F so that particle P shown in fig is in equilibrium.
20.The resultant of two concurrent forces is 1500N and the angle between the forces is 90°.the resultant makes an angle 36° with one of the force .Find the magnitude of each force.