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Physics 218: Mechanics

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Instructor: Dr. Tatiana Erukhimova Lecture 37 Exam: from 6 pm to 8 pm Physics 218: Mechanics Circular Motion y x Quiz from Nov. 16 The block of mass M is placed on a ... – PowerPoint PPT presentation

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Title: Physics 218: Mechanics


1
Physics 218 Mechanics
Instructor Dr. Tatiana Erukhimova
Lecture 37 Exam from 6 pm to 8 pm
2
Circular Motion
y
x
3
Quiz from Nov. 16
The block of mass M is placed on a rotating
platform, a distance L from the center. The
coefficient of friction between the block and the
platform is ?. What is the largest constant
value that ? can have before the block starts
slipping?
4
Ex.5
A wheel, with radius 0.5 m and moment of inertia
50 kg m2 about its center, rotates about a
frictionless axle with angular velocity 10
radians per second. A brake is applied which
supplies a constant force to a point on the
perimeter of the wheel of 10 N, tangent to the
wheel and opposing the motion. How many
revolutions will the wheel make before coming to
rest?
5
Ex. 4
A platform can rotate, without friction, about a
vertical axle through its center with a moment of
inertia, Ip. A small bug of mass m is placed on
the platform at a distance b from the center, and
the system is set spinning with angular velocity
?0 (Clockwise as viewed from above). a) What is
the total angular momentum of the system with the
bug at rest on the platform? b) What is the total
angular momentum if he runs in the opposite
direction to the platforms rotation? c) Is it
possible for a little bug to stop the big
platform from rotating?
6
Pr. 1
A bullet of mass m is fired in the negative x
direction with velocity og magnitude V0, starting
at x x0, yb. (y remains constant) What is its
angular momentum, with respect to the origin, as
a function of x? Neglect gravity.
7
Conservation of Momentum
If the collision is perfectly elastic, the
kinetic energy is conserved!
8
Two disks are spinning on a frictionless axle.
The one on the left has mass M, radius RL, and
moment of inertia about the axle IL. It is
spinning with ?L in the direction shown. It is
moving to the right with velocity of magnitude
v0. The one on the right has mass M, radius RR,
and moment of inertia about the axle IR. It is
spinning with ?R in the direction shown. It is
moving to the left with velocity of magnitude v0.
When the two disks collide they stick together.
What is the velocity and the angular velocity of
the combined system after the collision?
9
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10
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11
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12
Torque and Angular Momentum
Conservation of Angular Momentum
13
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14
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15
Help Session
When tonight at 710 pm
Where
202 James J. Cain Engineering/Physics Lab
Building
Spence St.
16
Have a great day! Hw Be prepared for the
test Good luck!
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