Dynamics II: Motion in a Plane 8-5 CHAPTER 8 11. A coin of mass m is placed distance r from the center of a turntable. The coefficient of static friction PSS between the coin and the turntable is us. Starting from rest, the turntable is gradually rotated faster and faster. At what angular velocity does the coin slip and "fly off"? a. Begin with a pictorial representation. Draw the turntable both as seen from above and as an edge 8.1 view with the coin on the left side coming toward you. Label radius r, make a table of known information, and indicate what you're trying to find. OnT Tadiuset Mass z m fz els N b. What direction does f point? Explain. c. What condition describes the situation just as the coin starts to slip? Write this condition as a mathematical statement. d. Now draw a free-body diagram of the coin. Following Problem Solving Strategy 8.1, draw the free- body diagram with the circle viewed edge on, the r-axis pointing toward the center of the circle, and the z-axis perpendicular to the plane of the circle. Your free-body diagram should have three forces on it. 1tidOichoni E3 O 2017 Pearson Education. D 13

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Dynamics II: Motion in a Plane
8-5
CHAPTER 8
11. A coin of mass m is placed distance r from the center of a turntable. The coefficient of static friction
PSS between the coin and the turntable is us. Starting from rest, the turntable is gradually rotated faster and
faster. At what angular velocity does the coin slip and "fly off"?
a. Begin with a pictorial representation. Draw the turntable both as seen from above and as an edge
8.1
view with the coin on the left side coming toward you. Label radius r, make a table of known
information, and indicate what you're trying to find.
OnT
Tadiuset
Mass z m
fz els N
b. What direction does f point?
Explain.
c. What condition describes the situation just as the coin starts to slip? Write this condition as a
mathematical statement.
d. Now draw a free-body diagram of the coin. Following Problem Solving Strategy 8.1, draw the free-
body diagram with the circle viewed edge on, the r-axis pointing toward the center of the circle, and
the z-axis perpendicular to the plane of the circle. Your free-body diagram should have three forces
on it.
1tidOichoni E3
O 2017 Pearson Education.
D 13
Transcribed Image Text:Dynamics II: Motion in a Plane 8-5 CHAPTER 8 11. A coin of mass m is placed distance r from the center of a turntable. The coefficient of static friction PSS between the coin and the turntable is us. Starting from rest, the turntable is gradually rotated faster and faster. At what angular velocity does the coin slip and "fly off"? a. Begin with a pictorial representation. Draw the turntable both as seen from above and as an edge 8.1 view with the coin on the left side coming toward you. Label radius r, make a table of known information, and indicate what you're trying to find. OnT Tadiuset Mass z m fz els N b. What direction does f point? Explain. c. What condition describes the situation just as the coin starts to slip? Write this condition as a mathematical statement. d. Now draw a free-body diagram of the coin. Following Problem Solving Strategy 8.1, draw the free- body diagram with the circle viewed edge on, the r-axis pointing toward the center of the circle, and the z-axis perpendicular to the plane of the circle. Your free-body diagram should have three forces on it. 1tidOichoni E3 O 2017 Pearson Education. D 13
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