MECHANICS - STATICS (LW-23-SJU)\ Course Content Week 7 - Module 07: Kinetics of a Particle\ Kinetics of a Particle\ Equation of Motion: Normal and Tangential Coordinates\ Page 8 of 18\ When a particle moves over a known curved path, the equation of motion for the particle may be written in the tangential, normal, and binormal directions giving the following three scalar equations of motion:\ Vector Formulation\

\\\\sum vec(F)=mvec(a)\ \\\\sum F_(t)hat(u)_(t)+\\\\sum F_(n)hat(u)_(n)+\\\\sum F_(b)hat(u)_(b)=ma_(t)hat(u)_(t)+ma_(n)hat(u)_(n)

\ Scalar Representation\

1_(t)

\

\\\\sum F_(t)=ma_(t) where a_(t)=v^()\ \\\\sum F_(n)=ma_(n) where a_(n)=(v^(2))/(\\\ ho )\ \\\\sum F_(b)=0,

Equation of Motion: Normal and Tangential Coordinates Page 8 of 18 When a particle moves over a known curved path, the equation of motion for the particle may be written in the tangential, normal, and binormal directions giving the following three scalar equations of motion: Vector Formulation F=maFtu^t+Fnu^n+Fbu^b=matu^t+manu^n Scalar Representation Ft=matFn=manFb=0wherewhereat=van=v2