[{"data":1,"prerenderedAt":45},["ShallowReactive",2],{"topic-en-theoretical-mechanics\u002Fkinematics\u002Fbasic-motions-of-a-rigid-body":3},{"topic":4,"trail":14,"children":24,"tasks":41,"alternates":42},{"id":5,"name":6,"locale":7,"path":8,"seo_title":9,"seo_description":10,"seo_text":11,"content_html":12,"content_chunks":13},285,"Basic Motions of a Rigid Body","en","theoretical-mechanics\u002Fkinematics\u002Fbasic-motions-of-a-rigid-body","Translation and Fixed-Axis Rotation of a Rigid Body","Rigid-body translation, fixed-axis rotation, point velocities and accelerations, and transmission of rotational motion.","This section covers rigid-body translation, rotation about a fixed axis, kinematics of body points, and transmission of rotational motion.","\u003Cp>\u003Cstrong>Basic motions of a rigid body\u003C\u002Fstrong> are translation and rotation about a fixed axis. They are fundamental rigid-body kinematic models and also serve as components of more general motion.\u003C\u002Fp>\u003Ch2>Translation\u003C\u002Fh2>\u003Cp>In translation, every line fixed in the body remains parallel to its original direction. At any instant all points of the body have identical velocity vectors and identical acceleration vectors.\u003C\u002Fp>\u003Ch2>Fixed-axis rotation\u003C\u002Fh2>\u003Cp>The body configuration is described by an angular coordinate. Its time derivatives give angular velocity and angular acceleration, while the linear velocities and accelerations of body points depend on their distance from the axis.\u003C\u002Fp>\u003Ch2>Transmission of rotation\u003C\u002Fh2>\u003Cp>Mechanisms transmit rotational motion through gears, belts, friction drives, and other arrangements. Their kinematic relations connect the angular velocities of components through the geometry of the transmission.\u003C\u002Fp>",[],[15,19,23],{"id":16,"name":17,"path":18},81,"Theoretical Mechanics","theoretical-mechanics",{"id":20,"name":21,"path":22},137,"Kinematics","theoretical-mechanics\u002Fkinematics",{"id":5,"name":6,"path":8},[25,29,33,37],{"id":26,"name":27,"path":28},216,"Translation of a Rigid Body","theoretical-mechanics\u002Fkinematics\u002Fbasic-motions-of-a-rigid-body\u002Ftranslation-rigid-body",{"id":30,"name":31,"path":32},217,"Rotation of a Rigid Body About a Fixed Axis","theoretical-mechanics\u002Fkinematics\u002Fbasic-motions-of-a-rigid-body\u002Frotation-rigid-body-fixed-axis",{"id":34,"name":35,"path":36},218,"Velocities and Accelerations of Points in Fixed-Axis Rotation","theoretical-mechanics\u002Fkinematics\u002Fbasic-motions-of-a-rigid-body\u002Fpoint-velocities-accelerations-fixed-axis-rotation",{"id":38,"name":39,"path":40},219,"Transmission of Rotational Motion","theoretical-mechanics\u002Fkinematics\u002Fbasic-motions-of-a-rigid-body\u002Ftransmission-rotational-motion",[],{"en":43,"uk":44},"https:\u002F\u002Fmechclassroom.com\u002Fen\u002Ftopics\u002Ftheoretical-mechanics\u002Fkinematics\u002Fbasic-motions-of-a-rigid-body","https:\u002F\u002Fmechclassroom.com\u002Ftopics\u002Fteoretychna-mekhanika\u002Fkinematyka\u002Fnaiprostishi-rukhy-tverdoho-tila",1787712536323]