Relative Motion with rotating axes example 1

Relative Motion with rotating axes example 1

Assessment

Interactive Video

Physics, Science

University

Hard

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The video tutorial addresses a challenging relative motion problem involving a rotating disk and a slider. It begins by setting up the problem, defining key points, and explaining the velocity equation. The tutorial then delves into analyzing the velocity of the slider relative to the rotating object and the velocity of a point on the disk relative to another point. Using trigonometry and circular motion principles, the tutorial calculates the necessary components to find the absolute velocity of the slider. The importance of direction and negative signs in the final velocity vector is also discussed.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angular velocity of the disk in the problem?

6 radians per second

8 radians per second

10 radians per second

12 radians per second

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is chosen as the reference point for the rotating frame?

Point C

Point B

Point D

Point A

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the velocity of point B at the given instant?

0 mm/s

400 mm/s

800 mm/s

1200 mm/s

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the velocity of the slider relative to the rotating object described?

Theta, 26.57 degrees

R Omega, 800 mm/s

L dot, 400 mm/s

R, 223.6 mm

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated angle Theta in the problem?

45.00 degrees

26.57 degrees

15.23 degrees

30.45 degrees

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the magnitude of the velocity vector of point P relative to B?

R

Theta

L dot

R Omega

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the negative sign in the velocity components indicate?

The slider is moving faster

The slider is moving in the opposite direction

The slider is moving in a circular path

The slider is stationary