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Kinesiology (4,000)

2241A/B (400)

Thomas Richard Jenkyn (200)

Lecture 8

School

Western UniversityDepartment

KinesiologyCourse Code

Kinesiology 2241A/BProfessor

Thomas Richard JenkynLecture

8This

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Assignment 4 250866706

1. If you are to collide with someone else who also possesses momentum,

conservation of linear impulse can be seen. When colliding, the added

momentum from both bodies remains the same as before the crash occurred,

however some of that momentum is distributed from one body to the other.

Therefore, if that person colliding with you weighed twice as much, you

would decelerate twice as much. The force that each of you received acted in

opposite directions, however due to the different weight distributions; you

would decelerate twice as much.

2. The mass of your arm is the amount of matter that it is made of, and the

resistance it has in respect to a change in linear motion. Newton’s first law

states that objects do not wish to be accelerated due to inertia, and the only

way to move it linearly is to apply a force that is proportional to the object’s

mass. This is different than the arm’s mass moment of inertia, which is the

resistance the object has in respect to a change in angular motion. Mass

moment of inertia is otherwise known as rotational inertia, and relates to

how much mass is away from the center of rotation. It is depicted as the

symbol I and is scalar. Mass moment of inertia can be changed through

body position, such as a figure skater releasing their hands from their sides

in order to slow down while rotating.

3. A) For a change in the radius of gyration to 1/3 k, the angular velocity would

increase 9 times.

B) For a change in the radius of gyration to 1/5 k, the angular velocity would

increase 25 times.

C) For a change in the radius of gyration to 6 k, the angular velocity would

decrease to 1/36 its original size.

D) For a change in the radius of gyration to 12 k, the angular velocity would

decrease to 1/144 its original size.

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