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Lecture 10: Newtons 2nd and 3rd law
1
A body in equilibrium that remains in equilibrium!
Newtons 1st Law of Motion: body in equilibrium
When a body is in equilibrium:
the body is at rest OR moving at constant velocity
state of motion means (how it moves o
Lecture 4: Acceleration
Acceleration is the rate of change of
velocity with time.
Acceleration is how the
Velocity is how fast and in
speed and direction of the what direction an object
objects motion are
moves.
changing
3
Velocity/Speed:
corresponds to a
Lecture 2: Vectors
Vectors and Scalars
Scalars
Quantities that can be fully described by a single
number, not needing direction
ex. mass (60 kg), time (2 s)
Vectors
quantities that need magnitude and direction to
be meaningful
ex. velocity, accelera
Lecture 9: Newtons Law: Forces
and Law of Inertia
1
Review Seatwork:
Enumerate the 4 kinematic equations for
constant acceleration
What is the formula relating the radial
acceleration and the magnitude of the velocity
and the radius of curvature for uni
Lecture 15 Circular Motion
Review Seatwork
A 5-kg block is held at rest against a vertical wall by a
horizontal force of 100 N.
(a)Draw a free body diagram of the object
(b)What is the frictional force exerted by the wall on
the block?
(c)What is the mini
Lecture 8: Circular Motion
and Relative velocity
1
Parallel and perpendicular
components of acceleration
Parallel
Acceleration
Velocity
Perpendicula
r
Parallel
Parallel to , path
Same direction
Change in particles
speed (magnitude)
No change in direction
Lecture 28: Vector product and
Torque
Moment Of Inertia
Parallel Axis Thm
ROTATIONAL
KINEMATICS
Torque
Rotational Energy
K = I2
Angular Momentum
5
Mathematics for Torque: Vector Cross Product
x-component
y-component
For vectors A and B without z-component
Lecture 19: Elastic Potential Energy and
Conservation of Mechanical Energy
Work done on spring
Greater displacement, greater
restoring force
Work = Area final Area initial
1 2 1 2
W kx2 kx1
2
2
Work done ON the spring or BY the spring?
ON THE SPRING
BY TH
Lecture 12: Dynamics of
Particles
1
Recall:
Systems at equilibrium include
Bodies at rest
Bodies moving at constant velocity
,
Newtons Second Law: Dynamics of
Particles
,
3
Problem solving tips
Always start with the free-body diagram.
Identify the axis an
Lecture 3 : Distance,
Displacement, Speed and Velocity
2 ways of writing the vectors
Using the general formula
Always set at + x-axis
Unit vectors and are
always positive
Using
direction to guide
calculation
magnitude of force
components are always
p
Lecture 16: Work and Kinetic
Energy
1
FORCES
W = mg
T
N
f=N
f = kv
f = Dv2
Work
W = F d cos
KINEMATICS
Newtons Law
F = ma
Now
Showing
ENERGY
Kinetic Energy
K.E. = (1/2) mv2
2
Kinetic energy is related to the motion of an object.
If an object is moving, t
Lecture 11: Applying
Newtons Law
1
Solving Problems using equations of
motion
- Many problems can be solved by using
Newtons 3 laws of motion
in equilibrium
,
accelerating
action & reaction
- Correct free-body diagram will be very
helpful!
4
Problem solv
Lecture 6: Motion in 2D
and 3D
1
Kinematic equations for
constant acceleration
Useful if position is not
given
Useful if final velocity
is not given
Useful if time is not
given
Useful if acceleration is
2
not given
Acceleration due to gravity,
Constant ac
Lecture 5: Motion with constant
acceleration
Kinematic equations for constant
acceleration
Useful if position is not given
Useful if final velocity is not
given
Useful if time is not given
Useful if acceleration is not
given
2
Guides in problem solving
De
Lecture 15 Work
1
Correction
My name is Mr. Lean L. Dasallas
Not
Not
Not
Not
Not
Not
Mr. Dean Lasallas
Mr. Lean Desalles
Mr. Lean Dasalias
Mr. Lean Dasailas
Mr. John Lloyd Cruz
Leonardo DiCaprio
2
FORCES
W = mg
T
N
f=N
f = kv
f = Dv2
Work
W = F d c
Lecture 18: Potential Energy and
Law of Conservation of Energy
1
Potential energy is stored energy.
Potential energy is associated with position.
Potential energy is the measure of the possibility for
work to be done (i.e. change in the state of motion
of
Lecture 22: Conservation of
Momentum and Collision
Law of Conservation of Momentum
no external forces
acting on a system:
2
Remarks on the conservation of momentum
Conservation of momentum means conservation of its
components.
Systems considered are inter
Lecture 35: Fluid Statics
1
Shear, Stress and Strain
2
3
Fluid
Any substance that can
flow
Liquids and gases
Not rigid bodies
Fluid dynamics
fluid statics
from
4
Density
mass per unit volume
SI unit: kg/m3 ; Constant for every substance
5
Specific gravit
Lecture 7: Projectile Motion
Motion is an interplay between velocity and
acceleration.
What if motion is not in line with velocity?
Velocity
Acceleration
Speeding up or slowing down is dependent on relative
directions of velocity
4
Parallel and perpendicu
Lecture 24. Introduction to
rotational motion
FORCES
W = mg
T
N
f=N
f = kv
f = Dv2
KINEMATICS
Newtons Law
F = ma
Work
W = F d cos
Work
W = K.E.
K.E. = mv2
G.P.E. = mgh
E.P.E = kx2
Impulse
Ft = p
K E = p2/2m
ENERGY
MOMENTUM
v = p/m
p = mv
3
Equation so fa
Lecture 34 Elasticity and
Plasticity
Conditions for Static Equilibrium
Recall: A particle in equilibrium : it does NOT
accelerate ()
Torque: tendency to rotate
No rotation:
Tension and compression
Consider a beam that is supported at both ends,
and carrie
Lecture 34: Gravitation
According to legend, Newton
discovered gravity while sitting
under an apple tree.
Newton saw the apple fall, or
maybe even felt it fall on his
head. Perhaps he looked up
through the apple tree branches
and noticed the moon.
Newton
Lecture 13 Frictional forces
Friction
Friction is experienced when a body is at rest or slides
on a surface.
Frictionless surface,= 0
Frictional forces are
Always perpendicular to the normal force
Always parallel to the surface
Opposite in the direction o
Lecture 21: Momentum, Impulse
and Collision
D?
Average Force. Assume that point G has energy of 10.0 J located at x = 5.00 m and
point F has energy of 2.00 J located at x = 2.00 m. What is the average force between
points F and G?
A. 2.66 N
B. -2.66 N
C.