ENGR 215 ~ Dynamics Sections 12.1 – 12.2

Tutoring is a must! Monday and Wednesdays from 3-5 PM in Dynamics is significantly harder than Statics.

The rules have changed.

Rectilinear Kinematics: continuous motion along a line

Constant Acceleration If acceleration is constant, determine the velocity and position as a function of time. –assume an initial velocity of v o, and an initial position of s o. Determine the velocity as a function of position.

Constant Acceleration

Lecture Example 1: Position of a particle on a straight line s(t) = 1.5 t 3 – 13.5t t Determine the position of the particle at t = 6 s. Determine the total distance traveled in 6 seconds. Determine the acceleration of the particle at t = 6s.

Lecture Example 2: The acceleration of a rocket traveling upward is given by a = (6+0.02s) m/s 2. Determine the rocket’s velocity when s=2 km, and the time needed to reach that this altitude. Initially v=0, s=0, and t=0.

Intergration of Hard Problems Schaum’s Mathematical Handbook Numerical Integration using Ti-84 or Ti-89 –Ti-84 fnInt(1/(ax^2+bx+c)^0.5,x,llim,ulim) –Ti-89 (1/(ax^2+bx+c)^0.5,x,llim,ulim)

The modern solution…. integral (1/(0.02*s^2+12*s)^0.5) ds from 0 to 2000

Lecture Example 2: Graphical Solution