(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?
12–125. The car travels around the circular track having a
radius of r = 300 m such that when it is at point A it has a
velocity of 5 m/s, which is increasing at the rate of
i = (0.061) m/s², where t is in seconds. Determine the
magnitudes of its velocity and acceleration when it has
traveled one-third the way around the track.
12–126. The car travels around the portion of a circular
track having a radius of r= 500 ft such that when it is at
point A it has a velocity of 2 ft/s, which is increasing at the
rate of i = (0.0021) ft/s², where t is in seconds. Determine
the magnitudes of its velocity and acceleration when it has
traveled three-fourths the way around the track.
12–114. The automobile has a speed of 80 ft/s at point A
and an acceleration having a magnitude of 10 ft/s?, acting in
the direction shown. Determine the radius of curvature of
the path at point A and the tangential component of
acceleration.
0 = 30°
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.
Chapter 11 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
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.