Universal Gravitation
DoNow: A student rests on a rotatable stool. The stool-student system has a moment of inertia of 4.625 kg m^2. A 1.5 kg ball moving at 2.6 m/s is caught by the resting student at a distance 0.5 m away from the axis of rotation and tangent to the moment arm of the student.
(a) What happens to the student in the stool? Explain in terms of motion and momentum.
(b) Determine the initial angular momentum of the student-stool and ball.
(c) Determine the moment of inertia for the student-stool-ball.
(d) Determine the angular speed of the student-stool-ball system after the catch.
(e) Determine the torque on the student-stool if the collision lasted 2 ms.
(notes)
AIM: I can describe the angular momentum of rotation systems and the conservation of momentum in rotation systems using concepts of moment of inertia, angular velocity, torque and angular acceleration.
Activities:
- Submit 'bout That Radius HW
- Tableshare Review 'bout That Moment HW
- Color Review Rotating Mass Investigation Draft CER
- Submit Balance Design Sketch Deliverable
- Balance Presentations & Feedback
- Universal Gravitation (notes)
- Universal Gravitation New Moon Whiteboard
- All Twisted Up HW
Textbook Review: Ch 12.1-.2
Homework:
All Twisted Up HW, 'bout That Moment HW, Rotating Mass Investigation CER
Coming Up:
Period of Repetition
Rotating Mass Investigation Final Version CER Due: Wed., 18Feb15
Semester Photo Project, Photo 2 & 3 Due: 23Feb15
Torque & Period TEST, after Lunar New Year.
2 Comments:
The Universal Gravitation Whiteboard is Chapter 12, Problem #7. The Answer is in the back of the book. I'll have my solution in the binder, possibly linked to the blog after the weekend.
scale of solar system
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