- #1
queenspublic
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When doing Angular Momentum, how is it that 2.0(2.12i + 2.12j) x (-3.863i - 1.035j) is equal to 2.0[-2.194k + 8.189k]?
Understanding Angular Momentum: A Brief Explanation of Vector Cross Products
- Thread starter queenspublic
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In summary, when calculating Angular Momentum, using the formula 2.0(2.12i + 2.12j) x (-3.863i - 1.035j) results in the answer 2.0[-2.194k + 8.189k] because i x j = k and j x i = -k. This is based on the fact that ii = jj = 0.
- #2
tiny-tim
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'cos i x j = k and j x i = -k (and ii = jj = 0) 
- #3
queenspublic
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tiny-tim said:'cos i x j = k and j x i = -k (and ii = jj = 0)
I don't understand.
cos i x j = k ?
So cos 2.12i x 2.12j = -2.194k ?
Please explain it in numbers. How do I get -2.194k + 8.189k ?
- #4
tiny-tim
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queenspublic said:
he he
no, I meant because i x j = k
- #5
queenspublic
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tiny-tim said:he he
no, I meant because i x j = k
O! I get it! Thanks.
FAQ: Understanding Angular Momentum: A Brief Explanation of Vector Cross Products
What is Angular Momentum?
Angular Momentum is a physical quantity that measures the rotational motion of an object. It is the product of an object's moment of inertia and its angular velocity.
How is Angular Momentum calculated?
Angular Momentum (L) is calculated by multiplying an object's moment of inertia (I) by its angular velocity (ω). This can be represented by the equation L = Iω.
What is the difference between Angular Momentum and Linear Momentum?
Angular Momentum measures the rotational motion of an object, while Linear Momentum measures the translational motion of an object. Angular Momentum is a vector quantity, while Linear Momentum is a scalar quantity.
How is Angular Momentum conserved?
According to the law of conservation of angular momentum, the total angular momentum of a closed system remains constant. This means that if no external torque acts on a system, the initial angular momentum will be equal to the final angular momentum.
What are some real-life applications of Angular Momentum?
Angular Momentum is a crucial concept in understanding the motion of spinning objects, such as tops, gyroscopes, and planets. It is also used in engineering and technology, such as in the design of turbines and spacecraft. In addition, it is an important concept in sports, such as figure skating and gymnastics, where rotational motion is involved.