A projectile is aimed to hit a mark in a horizontal plane, but falls short by 20m, when the angle of projection is 20°. However, when projected at 45°, it overshoots by 40m. Determine the angle of projection required to hit the target precisely? Also find the actual distance of the target. ANS: X = a =

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.