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Composition of Forces and Numerical Problems Part 2
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Composition of forces and numericals

Indira Roy
GATE AIR 391 || Passionate about teaching

ma'am agar aap kuch images ke sath explain karengi to yaad rakhne me aasani hogi. anyway ma'am all videos area awesome
1. ENGINEERING MECHANICS GATE PI PAPER TECHNICAL SECTION PART 2

2. quilibrium of colinear forces: Equilibrium law: Two forces can be in equilibrium only if they are equal in magnitude, opposite in direction and collinear in action. (Tension) (Compression) Superposition and transmissibility Problem 1: A man of weight W 712 N holds one end of a rope that passes over a pulley vertically above his head and to the other end of which is attached a weight Q 534 N. Find the force with which the man's feet press against the floor

3. Co 712N.

4. Resolution ot a force Replacement of a single force by several components which will be equivalent in action to the given force is called the problem of resolution of a force. By using parallelogram law, a single force R can be resolved into two components P and Q intersecting at a point on its line of action. fp C. 2

5. Equilibrium of collinear forces: Equilibrium law: Two forces can be in equilibrium only if they are equal in magnitude, opposite in direction and collinear in action Law of superposition . The action of a given system of forces on a rigid body will no way be changed if we add to or subtract from them another system of forces in equilibrium

6. Problem 3: Two spheres of weight P and Q rest inside a hollow cylinder which is resting on a horizontal force. Draw the free body diagram of both the spheres, together and separately

7. . Problem 4: Draw the free body diagram of the figure shown below 25 2- Ly

8. Problem 5: Determine the angles a and shown in the figure 445 4156 762m dk 915) = 3947, tan-1 ( .)-51.19, a-tan-1 -tan-1 (2 2) 76251 19 51 19' 610

9. Equilibrium of concurrent forces in a plane If a body known to be in equilibrium is acted upon by several concurrent, coplanar forces, then these forces or rather their free vectors, when geometrically added must form a closed polygon. VThis system represents the condition of equilibrium for any system of concurrent forces in a plane. RA VRaw tan a

10. .Lami's theorem . If three concurrent forces are acting on a body kept in an equilibrium, then each force is proportional to the sine of angle between the other two forces and the constant of proportionality is same. 13 P OR sin sin sin Ra sin(180- ) sin 90 sin(90+ )