Basic Kinematics: Constant Velocity w/o Rotation

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SUMMARY

The discussion focuses on the concept of constant velocity without rotation, emphasizing that a body can maintain a constant speed while changing direction due to a net force acting perpendicular to its motion. This scenario leads to two primary types of motion: parabolic motion, as seen in projectile motion, and circular motion, where the force direction changes to remain perpendicular. An example provided involves a spaceship utilizing thrusters to navigate a wiggling path while maintaining constant speed, illustrating practical applications of these principles in kinematics.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with concepts of velocity and acceleration
  • Knowledge of projectile motion principles
  • Basic grasp of circular motion dynamics
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  • Study the principles of projectile motion in detail
  • Explore the mathematics of circular motion and centripetal force
  • Investigate the application of kinematics in spacecraft navigation
  • Learn about the effects of net forces on motion in various contexts
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Students of physics, aerospace engineers, and anyone interested in the principles of motion and navigation in kinematics.

vaishakh
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Can there be any other case than rotating when the velocity of a body never becomes zero and still constantly changes in such a way that rate of change of magnitude of velocity is always zero(dv/dt = 0), i.e. the magnitude of velocity is constant?
 
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For velocity to change its direction without changing its magnitude it must experience a net force that is perpendicular to its direction of motion. If this force remains constant in direction, then parabolic motion (such as projectile motion) is the result.

If the force also changes its direction so as to constantly stay perpendicular to motion, then circular motion is the result. One could get clever and make a spaceship that has many thrusters mounted around the ships middle, all pointing perpendicular to the ships heading. If a computer managed to fire these such that only one was on at any moment, the ship could take a wiggling path, following many arcs through space, but always at a constant speed.
 
well it is easy, take a bike try to do all the maneuver u can while keeping the speed constant but changing direction.
 

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