[{"data":1,"prerenderedAt":44},["ShallowReactive",2],{"topic-en-theoretical-mechanics\u002Fkinematics\u002Fparticle-kinematics":3},{"topic":4,"trail":13,"children":23,"tasks":40,"alternates":41},{"id":5,"name":6,"locale":7,"path":8,"seo_title":6,"seo_description":9,"seo_text":10,"content_html":11,"content_chunks":12},284,"Particle Kinematics","en","theoretical-mechanics\u002Fkinematics\u002Fparticle-kinematics","Methods of describing particle motion, velocity, acceleration, and special cases of motion.","This section covers methods of describing particle motion, particle velocity and acceleration, and important special cases of motion.","\u003Cp>\u003Cstrong>Particle kinematics\u003C\u002Fstrong> studies how the motion of a point is described without considering the forces that cause it. The main objective is to determine position, trajectory, velocity, and acceleration from a given law of motion.\u003C\u002Fp>\u003Ch2>Describing motion\u003C\u002Fh2>\u003Cp>Motion may be specified by Cartesian coordinates, a position vector, or natural coordinates along a trajectory. The most convenient representation depends on the geometry of the problem and the quantities to be determined.\u003C\u002Fp>\u003Ch2>Velocity and acceleration\u003C\u002Fh2>\u003Cp>Velocity describes the rate of change of position and is tangent to the trajectory. Acceleration describes the rate of change of the velocity vector and can be resolved into components associated with changes in speed and direction.\u003C\u002Fp>\u003Ch2>Typical laws of motion\u003C\u002Fh2>\u003Cp>Rectilinear, uniform, uniformly accelerated, and curvilinear motions provide basic models for understanding the relationships among position, velocity, and acceleration.\u003C\u002Fp>",[],[14,18,22],{"id":15,"name":16,"path":17},81,"Theoretical Mechanics","theoretical-mechanics",{"id":19,"name":20,"path":21},137,"Kinematics","theoretical-mechanics\u002Fkinematics",{"id":5,"name":6,"path":8},[24,28,32,36],{"id":25,"name":26,"path":27},212,"Particle Kinematics. Methods of Describing Motion","theoretical-mechanics\u002Fkinematics\u002Fparticle-kinematics\u002Fparticle-kinematics-methods-describing-motion",{"id":29,"name":30,"path":31},213,"Particle Velocity","theoretical-mechanics\u002Fkinematics\u002Fparticle-kinematics\u002Fparticle-velocity",{"id":33,"name":34,"path":35},214,"Particle Acceleration","theoretical-mechanics\u002Fkinematics\u002Fparticle-kinematics\u002Fparticle-acceleration",{"id":37,"name":38,"path":39},215,"Special Cases of Particle Motion","theoretical-mechanics\u002Fkinematics\u002Fparticle-kinematics\u002Fspecial-cases-particle-motion",[],{"en":42,"uk":43},"https:\u002F\u002Fmechclassroom.com\u002Fen\u002Ftopics\u002Ftheoretical-mechanics\u002Fkinematics\u002Fparticle-kinematics","https:\u002F\u002Fmechclassroom.com\u002Ftopics\u002Fteoretychna-mekhanika\u002Fkinematyka\u002Fkinematyka-materialnoi-tochky",1787712535901]