Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 18.2, Problem 1dTH
Is the rotation of the ruler about the pivot in a clockwise sense, in a counterclockwise sense, or zero at each of the two instants shown? Explain.
Which of the forces on your free−body diagrams produce a non−zero torque? Explain.
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PLEASE TAKE YOUR TIME ANSWERING, LAST EXPERT DID NOT ANSWER THE PROBLEM CORRECTLY.
As shown in the image, the axis of Earth makes a 23.5∘ angle with a direction perpendicular to the plane of Earth’s orbit. This axis precesses, making one complete rotation in 25,780 years. The Earth has a mass of 5.972×1024kg and a radius of 6.378×10^6m.
a. Calculate the spin angular momentum of the Earth in units of kilogram meter squared per second.
b. Calculate the magnitude of the change in angular momentum in units of kilogram meter squared per second in half this time.
c. What is the average torque producing this change in angular momentum?
A point starts at the location ( – 5,0) and moves CCW along a circle centered at (0, 0) at a constant angular speed of 2 radians per second. Let t
represent the number of seconds since the point has swept out since it started moving. Draw a diagram of this to make sure you understand the
context!
a. Suppose the point has traveled for 0.1 seconds (t = 0.1). How many radians would need to be swept out from the 3-o'clock position [or from
(5, 0)] to get to the point's current position?
b. Write an expression in terms of t to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's
current position.
d. Sketch a graph of g.
-π -J/2
radians
c. Write a function g that determine's the point's x-coordinate in terms t.
g(t) =
8 g(t)
6
4
2
J2
Preview
Preview
-2
-4
-6
-8+
Clear All Draw: M
П
Preview
3π/2
20t
Determine the polar moment of inertia of the area shown with respect to point O. Hint: your calculations
should show J (semi-circle) – J (rectangle).
For extra credit: Find the polar moment of inertia about the centroid of the area. Extra credit hint: Apply
the PAT one time for the whole shape. Once you know "a" moment of inertia for a shape, you can apply
the PAT to that shape. This is a "sneaky" way to find the moment of inertia about a centroid location.
We can apply PAT to any shape – it does not have to be one of the standard shapes we find in a published
table.)
(Answer to check your work: Jo = 13.09(103) in4)
12 in.
8 in.
6 in.
6 in.
Chapter 18 Solutions
Tutorials in Introductory Physics
Ch. 18.1 - What is the direction of the angular velocity of...Ch. 18.1 - What is the direction of the wheel’s angular...Ch. 18.1 - Rank the magnitudes of the centripetal...Ch. 18.1 - For each situation described below, describe a...Ch. 18.1 - The equation a0andaR0 is not a correct vector...Ch. 18.2 - Prob. 1aTHCh. 18.2 - Draw an extanded freebody diagram for the ruler at...Ch. 18.2 - Rank the magnitudes of all the forces on your...Ch. 18.2 - Is the rotation of the ruler about the pivot in a...Ch. 18.2 - In the boxes at right, indicate the direction of...
Ch. 18.2 - Check that your descriptions of the motion of the...Ch. 18.2 - Parts iiv refer to the instant shown in the...Ch. 18.2 - Suppose that each force shown above is exerted for...Ch. 18.3 - What does this observation imply about the net...Ch. 18.3 - Draw an extended free-body diagram for theboard in...Ch. 18.3 - Would the board remain at rest in this case?...Ch. 18.3 - On the figure above, mark the approximate location...Ch. 18.3 - Is the amount of mass of the system (clay and...Ch. 18.3 - A T-shaped sheet of uniform thickness has a...
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