What is the momentum of the child? P = (-0, -306,0) kg-m/s In the definition L₁=Fx what is the vector ? F = (28,0,0) What is "1? TL = 28 A common amusement park ride is a Ferris wheel (not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate. A particular Ferris wheel has a radius of 28 meters, and it makes one complete revolution around its axle (at location A) in 20 seconds. In all of the following questions, consider location A (at the center of the axle) as the location around which we will calculate the angular momentum. At the instant shown in the diagram, a child of mass 35 kg, sitting at location H, is traveling with velocity < 0, -8.8, 0> m/s. X ✓ What is P? m What is the magnitude of the angular momentum of the child, about location A? ZA= 9,880 x kg-m²/s m Use the right-hand rule to determine the z-component of the angular momentum of the child, about location A: LAz = 9,880 x kg-m²/s y P₂0 K ✔kg-m²/s What is the z-component of the angular momentum of the child, about location A? LAz = -248.8 x kg-m²/s $ G B $ You used the right-hand rule to determine the z-component of the angular momentum, but as a check, calculate LAz in terms of position and momentum: What is Py? Py = 248.8 x kg-m²/s A
What is the momentum of the child? P = (-0, -306,0) kg-m/s In the definition L₁=Fx what is the vector ? F = (28,0,0) What is "1? TL = 28 A common amusement park ride is a Ferris wheel (not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate. A particular Ferris wheel has a radius of 28 meters, and it makes one complete revolution around its axle (at location A) in 20 seconds. In all of the following questions, consider location A (at the center of the axle) as the location around which we will calculate the angular momentum. At the instant shown in the diagram, a child of mass 35 kg, sitting at location H, is traveling with velocity < 0, -8.8, 0> m/s. X ✓ What is P? m What is the magnitude of the angular momentum of the child, about location A? ZA= 9,880 x kg-m²/s m Use the right-hand rule to determine the z-component of the angular momentum of the child, about location A: LAz = 9,880 x kg-m²/s y P₂0 K ✔kg-m²/s What is the z-component of the angular momentum of the child, about location A? LAz = -248.8 x kg-m²/s $ G B $ You used the right-hand rule to determine the z-component of the angular momentum, but as a check, calculate LAz in terms of position and momentum: What is Py? Py = 248.8 x kg-m²/s A
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:What is the momentum of the child?
P = (-0, -306,0)
In the definition LA = xp what is the vector ?
7 = (28,0,0) m
X
What is "L?
TL = 28
A common amusement park ride is a Ferris wheel (not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate.
A particular Ferris wheel has a radius of 28 meters, and it makes one complete revolution around its axle (at location A) in 20 seconds. In all of the following questions, consider location A (at the center of the axle) as the location around which we will
calculate the angular momentum. At the instant shown in the diagram, a child of mass 35 kg, sitting at location H, is traveling with velocity < 0, -8.8, 0> m/s.
kg-m/s
m
What is the magnitude of the angular momentum of the child, about location A?
LA = 9,880
x kg-m²/s
What is y Pa?
y Pr = 0
Use the right-hand rule to determine the z-component of the angular momentum of the child, about location A:
LAz = -9,880
X kg-m²/s
11
x kg-m²/s
H
kg-m²/s
You used the right-hand rule to determine the z-component of the angular momentum, but as a check, calculate LAz in terms of position and momentum:
What is Py?
Py = 248.8
What is the z-component of the angular momentum of the child, about location A?
LAz = -248.8
x kg-m²/s
K
G
F
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