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In projectile motion, the horizontal motion and the vertical motion are independent of each other; that is, neither motion affects the other. This is the principle of compound motion established by Galileo in 1638, [ 1 ] and used by him to prove the parabolic form of projectile motion.
Interior ballistics can be considered in three time periods: [4] Lock time - the time from sear release until the primer is struck; Ignition time - the time from when the primer is struck until the projectile starts to move; Barrel time - the time from when the projectile starts to move until it exits the barrel. Diagram of internal ballistic ...
The surface of the projectile also must be considered: a smooth projectile will face less air resistance than a rough-surfaced one, and irregularities on the surface of a projectile may change its trajectory if they create more drag on one side of the projectile than on the other. However, certain irregularities such as dimples on a golf ball ...
The curve of fastest descent is not a straight or polygonal line (blue) but a cycloid (red).. In physics and mathematics, a brachistochrone curve (from Ancient Greek βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), [1] or curve of fastest descent, is the one lying on the plane between a point A and a lower point B, where B is not directly below A, on which a bead slides ...
A projectile following a ballistic trajectory has both forward and vertical motion. Forward motion is slowed due to air resistance, and in point mass modeling the vertical motion is dependent on a combination of the elevation angle and gravity. Initially, the projectile is rising with respect to the line of sight or the horizontal sighting plane.
The tautochrone problem is a special case of Abel's mechanical problem when () is a constant. Abel's solution begins with the principle of conservation of energy – since the particle is frictionless, and thus loses no energy to heat , its kinetic energy at any point is exactly equal to the difference in gravitational potential energy from its ...
In classical mechanics, the central-force problem is to determine the motion of a particle in a single central potential field.A central force is a force (possibly negative) that points from the particle directly towards a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center.
A projectile is any object projected into space (empty or not) by the exertion of a force. Although any object in motion through space (for example a thrown baseball) is a projectile, the term most commonly refers to a weapon. [8] [9] Mathematical equations of motion are used to analyze projectile trajectory. [citation needed]