(III) We can alter Eqs. 11–14 and 11–15 for use on Earth by considering only the component of v → perpendicular to the axis of rotation. From Fig. 11–43, we see that this is υ cos λ for a vertically falling object, where λ is the latitude of the place on the Earth. If a lead ball is dropped vertically from a 110-m-high tower in Florence, Italy (latitude = 44°), how far from the base of the tower is it deflected by the Coriolis force?
(III) We can alter Eqs. 11–14 and 11–15 for use on Earth by considering only the component of v → perpendicular to the axis of rotation. From Fig. 11–43, we see that this is υ cos λ for a vertically falling object, where λ is the latitude of the place on the Earth. If a lead ball is dropped vertically from a 110-m-high tower in Florence, Italy (latitude = 44°), how far from the base of the tower is it deflected by the Coriolis force?
(III) We can alter Eqs. 11–14 and 11–15 for use on Earth by considering only the component of
v
→
perpendicular to the axis of rotation. From Fig. 11–43, we see that this is υ cos λ for a vertically falling object, where λ is the latitude of the place on the Earth. If a lead ball is dropped vertically from a 110-m-high tower in Florence, Italy (latitude = 44°), how far from the base of the tower is it deflected by the Coriolis force?
6. A uniform circular disc of mass m and radius 2a . centre O, is smoothly pivoted at a point A,
where OA=a.
(i)
Find the moment of inertia of the disc about an avis through A perpendicular
to the plane of the disc.
The disc is free to rotate in a vertical plane about the axis through A. Given that
the disc is held with O directly above A and then slightly displaced so that it swings
in a vertical plane,
(ii)
show that in the ensuing motion,
de
3a
dt
= 29(1 – cos0),
%3D
where o is the angle AO makes with the upward vertical.
If the Earth , supposed to be a uniform sphere contracts slightly so that its radius becomes less by (1/n) than before, show that the length of the day will shorten by (48/n)h.
I need help with this 2 part question. Part (a) and (b).
Chapter 11 Solutions
Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
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