(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.) BONUS: Consider the behaviour of the force you find in (c) as you change 0. Based on this behaviour, would the Earth truly be a perfect sphere? Why or why not?

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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter13: Gravitation
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Problem 86CP: Using Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at...
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Need help with part C and and the bonus practice questions

Problem 1: Let us consider the Earth as a sphere rotating at some constant angular velocity ở 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.)
BONUS: Consider the behaviour of the force you find in (c) as you change 0. Based on this behaviour, would
the Earth truly be a perfect sphere? Why or why not?
Transcribed Image Text:Problem 1: Let us consider the Earth as a sphere rotating at some constant angular velocity ở 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.) BONUS: Consider the behaviour of the force you find in (c) as you change 0. Based on this behaviour, would the Earth truly be a perfect sphere? Why or why not?
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