The horizontal component of soil forces acting on the front gang of a right hand offset disc harrow in the directions parallel and perpendicular to the direction of motion are 8 kN and 3 kN, respectively. The corresponding forces on the rear gang are 6 kN and 7 kN, respectively. If the horizontal component of pull acts towards the left of the direction of motion, its magnitude in kN will be _____.
Official Answer Key:
14.5 to 14.6
Step-by-Step Solution & Explanation
For an offset disc harrow, the perpendicular (side-thrust) components of the front and rear gangs act in opposite lateral directions (this is the working principle that keeps the implement in line while offsetting soil to one side), while the parallel (draft) components add directly.
Resultant parallel component = 8 + 6 = 14 kN.
Net perpendicular component = 7 − 3 = 4 kN.
Magnitude of resultant horizontal pull = √(14² + 4²) = √(196+16) = √212 = 14.56 kN. This lies within the accepted range 14.5–14.6.
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