Lecture 8 Tuesday 91515 Todays Objective Kinetics of rectilinear motion What is Kinetics Kinetics is the study of the relations between unbalanced forces and the resulting changes in ID: 254248
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Slide1
Kinetics of Particle
Lecture 8: Tuesday, 9/15/15
Today’s Objective
Kinetics of rectilinear motion
Slide2
What is Kinetics?
Kinetics is the study of the relations between unbalanced forces and the resulting changes in
motion.
Solution Methods for kinetics problems:
(
A) direct application of Newton's second law (called the force-mass-acceleration method),
(
B) use of work and energy principles, and
(
C) solution by impulse and momentum methodsSlide3
What is Mechanics?Slide4
A. Application of Newton’s Second Law
Newton’s second law equation:
F
= m
aSlide5
UnitsSlide6
Equation of Motion
Types of problems:
Unconstrained motion
Constrained motion
Rectilinear motion
Curvilinear motionSlide7
Rectilinear Motion
Motion along a straight lineSlide8
Free Body and Inertia Body Diagrams
Problem 3/1 :
The 50-kg crate is projected along the floor with an initial speed of 7 m/s at x = 0. The coefficient of kinetic friction is 0.40. Calculate the time required for the crate to come to rest and the corresponding distance x travelled.Slide9
Problem 3/35
Given: The nonlinear spring has a tensile force-deflection relationship given by: , where x is in meters and is in
n
ewtons. Determine the acceleration of the 6-kg block if it is released from rest at x = 100 mmSlide10
Kinetics of Particle – Curvilinear Motion
Lecture 9: Thursday, 9/17/15
Today’s Objective
Kinetics of Curvilinear motion
Slide11
Kinetics of a Particle
Curvilinear Motion:
Normal and Tangential (n-t) coordinatesSlide12
Curvilinear Motion
Curvilinear Motion:
2
. Polar (r,
) coordinates
Slide13
Problem 3/50
The 4-oz slider has a speed v = 3
ft
/s as it passes point A of the smooth guide, which lies in a horizontal plane. Determine the magnitude R of the force which the guide exerts on the slider.
Just before it passes point A of the guide
As it passes point B.Slide14
Problem 3/53
The hollow tube is pivoted about a horizontal axis through point O and is made to rotate in the vertical plane with a constant
ccw
angular velocity of 3 rad/s. If a 0.2
lb
particle is sliding in the tube toward O with a velocity of 4
ft
/s relative to the tube when the
= 30
0
is passed, calculate the normal force exerted by the wall of the tube on the particle at this instant.