Resolution of a force

engineering mechanics

1. RESOLUTION OF A FORCE Submitted by: L Roshan Maitei. Lourembam Sidharth DC2015BTE0278 DC2015BTE031 Tai Lida Diwang Wangsu DC2015BTE0154 DC2015BTE026 Deju m Lollen DC2015BTE0242

2. Table of Contents. Introduction. Principle of resolution. Explanation in Cartesian form. Method of resolution of resultant forces. Examples.

3. Introduction: I t is defined as the process of splitting up the given force into a number of components , without changing its effect on the body is called resolution of a force. A force is, generally, resolved along two mutually perpendicular directions.

4. Components of R along x axis Components of R along y axis

5. Resolution of no. Of coplanar forces.

6. Principle of Resolution It states, “The algebraic sum of the resolved parts of a no. of forces, in a given direction, is equal to the resolved part of their resultant in the same direction.”

7. 1 st quadrant 2 nd quadrant 4 th quadrant 3 rd quadrant

8. METHOD OF RESOLUTION FOR THE RESULTANT FORCE. Resolve all the forces horizontally and find the algebraic sum of the horizontal components. Resolve all the forces vertically and find the algebraic sum of all the vertical components. The resultant R of the given forces will be given by the equation : The resultant force will be inclined at an angle ,with the horizontal such that

9. The value of the angle will vary depending upon the values of and 1 . When is positive, the resultant makes an angle between 0 and 180 degrees. But when is negative , the resultant makes an angle 180 and 360 degrees. 2 . When is positive, the resultant makes an angle between 0 to 90 degrees or 270 to 360 degrees. But when is negative, the resultant makes an angle between 90 to 270 degrees.

10. Thank You.