7.4. Given: A = 4.0 m -2.0m and B -[-5.2007]. N = (a) Draw a diagram with both vectors starting at the origin and express both vectors as magnitude and direction. What is the angle between the two vectors? (b) Show that Ẩ × B = 16 Nm 2 by using the formula |A|B|sin and the right-hand rule. (c) Find A x B by using matrix multiplication: (A, By - Ay Bx) 2
7.4. Given: A = 4.0 m -2.0m and B -[-5.2007]. N = (a) Draw a diagram with both vectors starting at the origin and express both vectors as magnitude and direction. What is the angle between the two vectors? (b) Show that Ẩ × B = 16 Nm 2 by using the formula |A|B|sin and the right-hand rule. (c) Find A x B by using matrix multiplication: (A, By - Ay Bx) 2
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I need help on question 7.4?
![7.4. Given: A =
4.0 m
-2.0m
-
and B
-[-5.2007].
N
=
(a) Draw a diagram with both vectors starting at the origin and express both vectors as
magnitude and direction. What is the angle between the two vectors?
(b) Show that Ẩ × B = 16 Nm 2 by using the formula |Ã||B| sin and the right-hand rule.
(c) Find A x B by using matrix multiplication: (A, By – Ay Bx) 2
7.5. It's a rough approximation, but let's treat a spinning ice skater as a solid cylinder with a
radius of 0.25 m.
(a) If their mass is 55 kg, what is their rotational inertia?
(b) Calculate the magnitude of the angular momentum of a 55 kg ice skater spinning 6 times
a second.
(c) Calculate the total kinetic energy of this skater if they are spinning at a rate of 6 rotations
per second while traveling through the air at a rate of 2 m/s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F528139fc-f068-48e7-ab76-1df2a6cdbb70%2F5d8e4863-ceda-4130-8a78-29f291f251be%2Fjunw41d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7.4. Given: A =
4.0 m
-2.0m
-
and B
-[-5.2007].
N
=
(a) Draw a diagram with both vectors starting at the origin and express both vectors as
magnitude and direction. What is the angle between the two vectors?
(b) Show that Ẩ × B = 16 Nm 2 by using the formula |Ã||B| sin and the right-hand rule.
(c) Find A x B by using matrix multiplication: (A, By – Ay Bx) 2
7.5. It's a rough approximation, but let's treat a spinning ice skater as a solid cylinder with a
radius of 0.25 m.
(a) If their mass is 55 kg, what is their rotational inertia?
(b) Calculate the magnitude of the angular momentum of a 55 kg ice skater spinning 6 times
a second.
(c) Calculate the total kinetic energy of this skater if they are spinning at a rate of 6 rotations
per second while traveling through the air at a rate of 2 m/s.
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