Instructor Dr Tatiana Erukhimova Lecture 35 36 37 Hw Chapter 15 problems and exercises Orbital motion Conservation of Angular Momentum Moment of Inertia For symmetrical objects rotating about their axis of symmetry ID: 544800
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Slide1
Physics 218: Mechanics
Instructor: Dr. Tatiana Erukhimova Lecture 35, 36, 37
Hw: Chapter 15 problems and exercisesSlide2
Orbital motion
Conservation of Angular MomentumSlide3
Moment of Inertia
For symmetrical objects rotating about their axis of symmetry:Slide4
A block of mass M is cemented to a circular platform at a distance b from its center. The platform can rotate, without friction, about a vertical axle through its center with a moment of inertia, I
p
. If a bullet of mass m, moving horizontally with velocity of magnitude v
B
as shown, strikes and imbeds itself in the block, find the angular velocity of the platform after the collision.
b
top view
v
B
axleSlide5
L before = L afterSlide6Slide7
What is the moment of inertia of a disk of thickness
h
, radius R and total mass M about an axis through its center?Slide8
Rotational Kinetic EnergySlide9
O
F
RSlide10
For symmetrical objects rotating about their axis of symmetry:
Second Law:Slide11
m1
m2
R
I
The rope is assumed not to slip as the pulley turns. Given
m
1
,
m
2
,
R
, and
I
find the acceleration of mass
m
1
.Slide12
Two masses, and , are attached by a massless, unstretchable string which passes over a pulley with radius R and moment of inertia about its axis
I. The horizontal surface is frictionless. The rope is assumed NOT to slip as the pulley turns. Find the acceleration of mass .Slide13
A solid sphere rolls down an inclined plane of angle
θ
without slipping
.
a) Find the acceleration of the sphere.
b) Find the maximum
θ
if the coefficient of static friction is μ.Slide14
Have a great day!
Hw: Chapter 15 problems and exercises