Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 18.1, Problem 1aTH
What is the direction of the 
at any time, state that explicitly. Explain.
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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
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3π/2
20t
Below is a sketch of the toy on a rotor ride at the moment after the floor drops. The rotor has a radius of R and the toy has mass m. Assume the angular velocity is constant, and the toy is not slipping downward.
write Newton’s Second Law for the x and y directions.
Use algebra and your equations above to predict the minimum angular velocity ωmin necessary to keep the toy “stuck” to the side of the rotation tube. Express your answer in terms of g, μs, R. (nonumbers yet). Show all of your work and your final result below.
Don't need a lot of details. Just do the math.
Thanks
Determine the angular velocity, wAB, of link AB and the velocity, UB, of collar B for
the instant represented. Assume the quantities wo and r to be known.
2r
45
B
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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