A marble of mass m is at rest at the apex of a hemisphere of radius R. It moves slightly and begins sliding down the side of the hemisphere. At what angle & does the marble lose contact with the surface of the hemisphere?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 67P: Two particles of masses m1 and m2 move uniformly in different circles of radii R1 and R1 about the...
icon
Related questions
Question
A marble on a hemisphere
A marble of mass m is at rest at the apex of a hemisphere of radius R. It moves slightly and
begins sliding down the side of the hemisphere. At what angle û does the marble lose contact
with the surface of the hemisphere?
R
(This problem is from Douglas Giancoli's text, Physics for Scientists and Engineers, 2nd ed.
(1989).
Note: if you solve this problem correctly, you should discover that the angle is independent of
the mass, gravitational constant, and the radius of the hemisphere – which, if you think about
it, should be the case.
Transcribed Image Text:A marble on a hemisphere A marble of mass m is at rest at the apex of a hemisphere of radius R. It moves slightly and begins sliding down the side of the hemisphere. At what angle û does the marble lose contact with the surface of the hemisphere? R (This problem is from Douglas Giancoli's text, Physics for Scientists and Engineers, 2nd ed. (1989). Note: if you solve this problem correctly, you should discover that the angle is independent of the mass, gravitational constant, and the radius of the hemisphere – which, if you think about it, should be the case.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Center of mass of a system
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
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning