Let us consider the Earth as a sphere rotating at some constant angular velocity i about the its poles. You, of mass m, are at some point on the surface of the Earth, at some angle 0 above as shown below:

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.10P
icon
Related questions
Topic Video
Question
100%

Need help with this practice quesiton

Problem 1: Let us consider the Earth as a sphere rotating at some constant angular velocity i about the
axis through its poles. You, of mass m, are at some point on the surface of the Earth, at some angle 0 above
the equator, as shown below:
(c) We know that gravity, constant in magnitude g along the surface of the Earth and headed towards the
centre of the Earth, is the reason why you'd stay put on the rotating sphere that is the Earth. You
may notice that gravity alone does not account for the net force in (b), implying that a second force is
present that maintains your motion. Draw a complete diagramme of the forces acting on you, and find
this second force, both magnitude and direction. (Remember that the unit radial vector is denoted î.)
Transcribed Image Text:Problem 1: Let us consider the Earth as a sphere rotating at some constant angular velocity i about the axis through its poles. You, of mass m, are at some point on the surface of the Earth, at some angle 0 above the equator, as shown below: (c) We know that gravity, constant in magnitude g along the surface of the Earth and headed towards the centre of the Earth, is the reason why you'd stay put on the rotating sphere that is the Earth. You may notice that gravity alone does not account for the net force in (b), implying that a second force is present that maintains your motion. Draw a complete diagramme of the forces acting on you, and find this second force, both magnitude and direction. (Remember that the unit radial vector is denoted î.)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
First law of motion
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
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
Modern Physics
Modern Physics
Physics
ISBN:
9781111794378
Author:
Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:
Cengage Learning