2/12/2014
Aims
Linear Kinetics
Force
Push or pull
Forces cause accelerations (change in
velocity)
Forces always come in pairs (action and
reaction)
Unit: Newton (N)
Force required to accelerate a 1kg mass at the
rate of 1 m/s2
External Forces
Forces
Example #6
The ground reaction force acting on Carter
during his long jump is 4500 N acting
forward and upward at an angle of 78 from
horizontal. Carters mass is 70 kg. Other
than gravity, this is the only external force
acting on Carter.
a. What is the v
KIN 330 Lab 3: Angular Kinematics
Maximum Points: 10
Objectives
- Understanding basic concepts of angular kinematics (angular displacement, angular
velocity and angular acceleration)
- Understanding the relation between linear and angular kinematics
Answe
KIN 330 Lab 5: Linear Kinetics
Maximum Points: 10
Objectives
- Understanding basic concepts of forces and free-body diagrams
- Understand Newtons laws
- Understand and apply the Impulse-momentum relation Answer Table
Question
1
2
Answer (make sure you inc
2/19/2014
Important Concepts
Angular Kinetics
Torques
Equilibrium of forces and torques
Center of gravity, stability
Moment of inertia
Newtons Laws applied to angular motion
Angular momentum, angular impulse
Torque (Moment of Force)
Remember that so far
1/13/2014
KIN 330
Biomechanics of Physical
Activity
Lec 2: Math & Physics Review
Rajiv Ranganathan
Units
Important Concepts
Units and conversions
Scalars and vectors
Vector addition (Combining)
Vector resolution (Decomposing)
Average rate of change vs. In
1/9/2014
KIN 330
Biomechanics of Physical
Activity
Lec 1:Introduction to
Biomechanics
Aim of the Lecture
What is Biomechanics?
Bio + Mechanics = Study of forces and their
effects on living systems
Biomechanics is the study of the structure
and function
1/15/2014
KIN 330
Biomechanics of Physical
Activity
Lec 3: Linear Kinematics
Rajiv Ranganathan
Important Concepts
Types of Motion
Distance vs. Displacement
Speed, Velocity and Acceleration
Instantaneous vs. Average measures
Equations of motion in 1D (unde
1/27/2014
KIN 330
Biomechanics of Physical
Activity
Lec 4: Angular Kinematics
Rajiv Ranganathan
Spring 2014
What is an angle?
Angle formed by
intersection of two
lines, two planes or
a plane and a line
Important Concepts
Angular displacement relative an
2/26/2014
Important Concepts
Work, Power and
Energy
Work
Energy Kinetic and Potential
Work-Energy Relationship
Conservation of Energy
Power
Work
Product of force and displacement in the
direction of the force
http:/www.youtube.com/watch?v=dB
36sW-iYBY
6/10/2014
Important Concepts
Fluid Mechanics
Buoyancy
Drag and Lift Forces
Bernoullis principle
Magnus effect
Buoyancy
Buoyancy
Fluids exert two types of
forces
Buoyant force =
Weight of volume of
fluid displaced by
the object
Buoyant force due to
imme
3/26/2014
Important Concepts
Mechanics of Biological
Materials
Stress and Strain
Tension, Compression and Shear
Stress-Strain Relationship
Elastic and Plastic Behavior
Strength and Toughness
Material properties of bone, muscle, tendons
and ligaments
Defor
3/26/2014
Important Concepts
Skeletal system
Musculoskeletal System
Bone structure
Bone strength & Density
Wolffs Law
Types of Joints DOF
Muscular system
Skeletal System
Muscle structure & function
Muscle action
Length-Tension, Force-Velocity
Strength t
KIN 330
Final Exam Review
Things to Remember
Bring a scientific calculator NO other
computing device will be allowed
Bring a pencil for filling in bubble sheets
One 8.5x11 paper with handwritten formulae
and notes is allowed (both sides)
this will have to
5/20/2014
Problems for Angular
Kinematics
A golfer accelerates the club from the top of the
backswing until impact with the ball with an
average angular acceleration of 30 rad/s2 for a
period of 0.5 s. The radius of rotation is 1.1 m.
Compute
a. The angu
5/19/2014
General Steps
Problems for Linear
Kinematics
Sean is running a 100 m dash. When the starter's pistol
fires, he leaves the starting block and continues
speeding up until 6 s into the race, when he reaches his
top speed of 11 m/s. He holds this s
1/15/2014
KIN 330
Biomechanics of Physical
Activity
Lec 3: Linear Kinematics
Rajiv Ranganathan
Kinematics
Describes motion, not the cause of motion
e.g., position, velocity and acceleration
Motion
when object experiences a change in position
(displaced),
KIN330 Exam I Study Guide
maker: Tzu-Hsiang Lin
Help you to make your cheat sheet and review all the important concepts
Linear Kinematics Review
1. Important Denition
Position: location in space
Distance traveled: measure of the length of the path followe
The Branches of Rigid-Body Mechanics
Newtons Laws of Motion
Newton's laws of motion are three
physical laws that together laid the
foundation for classical mechanics.
They describe the relationship
between a body and the forces
acting upon it, and its mot
The Branches of Rigid-Body Mechanics
What is Linear Kinematics?
Kinematics, the topic of this chapter, is the branch of
dynamics concerned with the description of motion.
It is the description of movements, without getting into what
causes those movements
Lecture 2
Forces: Maintaining Equilibrium
or Changing Motion
Objectives
The objectives of this chapter are:
Define force
Classify forces
Define friction force
Define weight force
Determine the resultant of two or more forces
Resolve a force into com
Mechanical Work
Mechanical work is the
product of force and the
amount of displacement
in the direction of that
force.
Mathematically, this can
be expressed as
Mechanical Work
Because work is the product of
force and displacement, the units
for work are u
Angular Position and Displacement
This chapter is concerned with angular kinematics, the
description of angular motion.
Angular motion occurs when all points on an object move in
circular paths about the same fixed axis.
Angular motion is important becaus
KIN 330
Introduction to Biomechanics
Instructor: Khalil Khanafer, Ph.D.
Email: khanafer@msu.edu
Office Hours: Tu/Th 12:00-2:00 pm
Course Information
Course Description & Objectives
To provide students with an introduction to topics in
biomechanics, inclu
What are Torques?
Torque, moment or moment of force, is the tendency of a
force to twist or rotate an object about an axis.
T = Force*(Distance) = FD
Units: N.m
T = 0 if passes through line of
action of F (D = 0)
Sense of Torque:
-A counter-clockwise rota
What is Mechanical Stress?
Mechanical stress is the internal force divided by the crosssectional area of the surface on which the internal force acts.
Stress may vary within an object and is associated with a
specific internal surface.
The three principal
What is Fluid Mechanics?
Fluid mechanics is the branch of physics that studies fluids
(liquids, gases, and plasmas) and the forces on them.
Fluid mechanics can be divided into fluid statics, the study
of fluids at rest; fluid kinematics, the study of flui
Center of Mass
The center of mass is the mean location of a distribution of
mass in space.
The center of mass is the point about which the body's mass
is evenly distributed
Center of Gravity
Center of gravity is the point in a body around which the
result
A soccer player starts running from the midfield line, and her horizontal position is measured as a
function of time. Displacements toward the right are considered positive, and the midfield line is
designated as position 0. The position-time graph is sho
KIN 330 Assignment 3: Linear Kinetics
Answer Table
Question
1
Answer (make sure you include units)
2
3
4
5
6
7
8
9
10
Fx = -(0.1) + F*cos(15)
Fy = N + F*sin(15) 980
98.81N
954.43N
-0.142 m/s
-0.66 m/s
0.24 m/s
10.19 m/s
221.5N
Work Table
Questio Solution
KIN 330 Assignment 4: Angular Kinetics
Answer Table
Questio Answer (make sure you include units)
n
1
0.3m
2
30 N*m
3
995.25 N
4
5
6
7
8
9
10
294 N
176.4 N*m
-176.4 N*m
3,528 N
-.0625 m from the left of the bar.
The center of gravity would move towards the
KIN 330 Assignment 2: Linear and Angular
Kinematics
Answer Table
Question
1
2
3
4
5
6
7
8
9
10
Answer (make sure you include units)
7.13m
2.23s
24.85m
10.03 m/s
I would advise him to throw at less than a 45 angle because he is already
above ground when th