Engineering Mechanics Problem Sheet 2 Module - 2 Equilibrium of Coplanar forces

Engineering Mechanics Problem Sheet 2 Module - 2 Equilibrium of Coplanar forces

1. Two Spheres A and B of Weight 1000 N and 750 N respectively are kept as shown in the figure Determine the reactions at all contact points 1,2,3,4. Radius of A=400mm and Radius of B= 300mm {May 11}

2. Determine the reactions at a point of contact 1,2 and 3. Assume smooth Surfaces

mA=1 Kg mB=4Kg RA=1 cm RB=4 cm.{DEC 11}

3. A smooth circular cylinder of weight W and Radius R rests in a V shaped groove whose sides are inclined at angles and to the horizontal as shown. Find the reactions RA and RB at the points of Contact.{Dec 12}

4. Two Identical cylinders 100 mm weight 200N are placed as shown. All contacts are smooth. Find out reactions at A, B and C.{May 13}

5. Two Identical rollers each of weight 500N and radius R are kept on a right angle frame ABC having negligible weight. Assuming smooth surfaces find the reactions induced at all contact surfaces. {DEC 12}

6. A cylinder B, WB = 1000N ,dia=40cm hangs by a cable AB=40cm rests against a smooth wall. Find out reaction at C and TAB{May 13}

7. Two Spheres A and B are resting in a smooth trough as shown in figure. Draw the FBD of A and B showing all forces acting on them both in magnitude and direction. Radius of A and B are 250 and 200mm respectively.

8. A bar is hinged at A and rests on cylinder at C. AC=500mm, CB=300mm, diameter of cylinder is 400mm and its weight is 200N. The distance of the centre of the cylinder is 500mm. From A and is connected to the bar by a horizontal wire OE as shown in the figure. A weight 500N is suspended at B: Determine

(i) Reaction of Hinge A

(ii) Tension in the wire

(iii)Reactions at C and D

Neglect the weight of bar and assume all surfaces smooth

9. Three Cylinders are pilled up in a rectangular channel as shown in figure. Determine the reactions at point 6 between cylinder A and vertical wall of Channel. {May 10}

Cylinder A: radius =4cm, m=15kg

Cylinder B: radius=6cm m=40kg

Cylinder C: radius=5 cm m=20kg

10. Two spheres A and B of weight 1000N and 750N respectively are kept as shown in the figure. Determine the reactions at all contact points 1,2,3,4. Radius of A=400mm and radius of B=300mm{May 11}

Problems on Beam Reaction

11. Find the reactions at the supports of the beam loaded as shown in the figure

12. Find the reactions at the supports of the beam applying conditions of equilibrium

13. Find the reactions at the supports of the beam AB loaded as shown in the figure

14. Find Analytically the support reaction at B and Load P for the beam as shown in figure if reaction at support A is zero

15. Find the support reaction for the beam as loaded and supported as shown in the figure

16. Find the support Reactions at Hinge A and Roller B

17. Find the reactions at the A and B on the structure shown in figure

18. A beam of weight 4kN/m is loaded and supported as shown in figure. Find the support Reactions

19. A 30Kg collar may slide on frictionless vertical rod and is connected to a 34kg counter weight. Find the value of h for which system is in equilibrium. Refer figure given below

20. Two Prismatic bars AB and CD are welded together in the form of rigid T and are suspended in a vertical plane as shown in figure. Determine angle that the bar will make with vertical length a load of 100N is applied at the end D. Two bars are identical and each weighing 50N

21. Find the support reactions at A and B

22. Find the support reactions at A, B and C from the rigid link DEF supported by cylinder at D and F. The link is loaded by force of 20kN as shown in figure. Neglect friction and self weight of link and cylinders. Take diameters of cylinders as 200 mm and DE=EF=300mm

Problems on Support Reaction

23. Determine the intensity of distributed load W at the end C of the beam ABC for which the reaction at C is zero. Also Calculate the reaction at B {May 08}

24. Find Analytically the support reaction at B and load P for the load shown in figure if the reaction at support A is Zero. {DEC 08}

25. Determine the reactions at A ,B and C for the frame shown in figure {Dec 2010}

Problems on Support Reaction

26.A man rises a 12kg joint of length 4m by pulling the rope. Find the tension in rope and the reaction at A.

27.A 30kg pipe is supported at A by a system of five chords. Determine the force in each chord for equilibrium.

28.Sphere A is supported by two wires AB, Ac Find out tension in wire AC

(i) Before wire Cut

(ii) Just after AB is cut

29.Determine forces in the members of the trusses as shown in figure

30.A roof truss is supported and loaded as shown I figure find the action forces in the members BD and CF.

[ANS: FCF=2.48KN (T) FBD=3.94KN (C) ]

31.Find the support reaction for the beam as loaded and supported as shown in the figure

Trusses

32.Find the force and its nature in member AD and BC from the given cantilever truss loaded by 40 KN as shown in figure.

Ans:FAD= 95.93KN FBC=70.78KN

33.Find the forces in the members BD BE and CE by the method of section only for the truss shown I the figure. Also Find the forces in the others members by method of joint. [DEC13]

34.For the Truss shown in figure Calculate the forces in the members BC, CD, DE and EF by Method of Section

35.For the truss as shown in figure

i) Identify the zero force members without any calculations

ii) Calculate the forces in the remaining members

iii) Verify the forces in the members AE by method of section taking a section m-n as shown in

figure

iv) Using the value of the forces found in the members meeting at support F find the reaction at

joint F

36.Referring to the truss shown in figure Find i) Reaction at D and C II) Zero force members iii) Forces in FE and DC iV) Forces in other members by Method of joints [DEC2012]

37.Determine the forces in all members of plane truss [May 2012]

38.For the truss shown in figure Find the support reaction at A and B. Also find forces in All

members.