Plane Curvilinear Motion-Basic Mechanical Engineering-Lecture Slides, Slides of Mechanical Engineering

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Basic Mechanical Engineering

ME-

Lecture-

Mar 8, 2005

Plane Curvilinear Motion

n Single plane

n Position vector

n Notion of time

n Displacement

n Distance

n Vav =? r /? t

n Average speed =? s / ?t

n Instantaneous velocity

lim t 0 v r ∆ → t = ∆ ∆

Plane Curvilinear Motion

n Average acceleration =? v /? t n Instantaneous acceleration

0 lim t

v a ∆ → t

∆

∆

Plane Curvilinear Motion

n acceleration vector

dv^.

a v

dt

ds^.

v s

dt

• Problem 2/

Projectile Motion

n Assumptions

n No aerodynamic drag n No earth’s curvature and rotation effects n Small altitude range - g constant n ax = 0 ay = -g

Problem 2/

S = Vx* t t=7.5/10 = .75 sec Vf = Vy –gt/ Vy = 9.81*.75/2= 3.68 m/s 2gh= Vf^2 – Vy^2 = -(3.68)^2 h = 0.689 m