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:

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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)...
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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.)
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