If the student wanted to balance the wand horizontally on the tip of her finger, under which point on the sketch should she place her finger? 2. If the student tries to spin the wand perpendicular to its axis with one of these points chosen as the pivot, around which point will the rotational inertia be the greatest? 3. If the student wants to wave the wand around as easily as possible, should they grasp it at the left end or the right end? 4. To perform a particular spell, the student finds they need to flick the want by a particular angle in a particular time. Specifically, the wand must be rotated by 90 degrees in 0.5 seconds, starting from rest with a constant angular acceleration. What is the magnitude of the required angular acceleration? 25 rad/s 13 rad/s 6.2 rad/s 3.1 rad/s

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question

A muggle at NYU College finds the magic wand of a student at NYU's sister school, Hogwarts School of Witchcraft and Wizardry. She decides to use physics to figure out how to wield the wand. The student measures the wand to have total mass M and length L and draws a sketch of the wand below. She realizes that the wand is constructed to have an unusual mass density, which increases linearly from the lighter
left side (x = 0) to the heavier right side (x = L).

 

 

1. If the student wanted to balance the wand horizontally on the tip of her finger, under which point on the sketch should she place her finger?

2. If the student tries to spin the wand perpendicular to its axis with one of these points chosen as the pivot, around which point will the rotational inertia be the greatest?

3. If the student wants to wave the wand around as easily as possible, should they grasp it at the left end or the right end?

4. To perform a particular spell, the student finds they need to flick the want by a particular angle in a particular time. Specifically, the wand must be rotated by 90 degrees in 0.5 seconds, starting from rest with a constant angular acceleration. What is the magnitude of the required angular acceleration?

  1. 25 rad/s
  2. 13 rad/s
  3. 6.2 rad/s
  4. 3.1 rad/s
A
You lug
x=0
B
C
eum on bn
४
13
ad ubrie 2 exe betelgmd3
2L
220
11
X:
D
E
xoo aeoiveb serito A
L
2
2053
x=L
Transcribed Image Text:A You lug x=0 B C eum on bn ४ 13 ad ubrie 2 exe betelgmd3 2L 220 11 X: D E xoo aeoiveb serito A L 2 2053 x=L
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Rotational Kinetic energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON