A thin metal rod of mass 1.8 kg and length 0.9 m is at rest in outer space, near a space station (see figure below).
A thin metal rod of mass 1.8 kg and length 0.9 m is at rest in outer space, near a space station (see figure below). A tiny meteorite with mass 0.06 kg traveling at a high speed of 250 m/s strikes the rod a distance 0.2 m from the center and bounces off with speed 60 m/s as shown in the diagram. The magnitudes of the initial and final angles to the x axis of the small mass's velocity are θ = 26° and θ = 82°.
(a) Afterward, what is the velocity of the center of the rod?
(b) Afterward, what is the angular velocity o of the rod?
(c) What is the increase in internal energy of the objects?
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A thin metal rod of mass 1.8 kg and length 0.9 m is at rest in outer space, near a space station (see figure below).
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A thin metal rod of mass 1.7 kg and length 0.7 m is at rest in outer space, near a space station (see figure below). A tiny meteorite with mass 0.07 kg traveling at a high speed of 235 m/s strikes the rod a distance 0.2 m from the center and bounces off with speed 60 m/s as shown in the diagram. The magnitudes of the initial and final angles to the x axis of the small mass's velocity are...
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The figure below shows a uniform rod of length L=0.9 m and mass M (not required...
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A uniform thin rod of length 0.65 m and mass 3.4 kg can rotate
in a horizontal plane about a vertical axis through its center. The
rod is at rest when a 3.8 g bullet traveling in the rotation plane
is fired into one end of the rod. As viewed from above, the
bullet's path makes angle θ = 60° with the rod. If the
bullet lodges in the rod and the angular velocity of the rod is
11.0 rad/s...
The figure below shows a uniform rod of length L=0.9 m and mass
M (not required in answer) which is free to rotate about one end,
and which is initially at rest at an angle θ=40º with respect to
the horizontal. Find the (linear) speed of the center of mass of
the rod when it reaches the vertical position (θ=-90°).
o Pin
The uniform thin rod in the figure below has mass M =
4.00 kg and length L = 2.21 m and is free to rotate on a
frictionless pin. At the instant the rod is released from rest in
the horizontal position, find the magnitude of the rod's angular
acceleration, the tangential acceleration of the rod's center of
mass, and the tangential acceleration of the rod's free end.
(a)
the rod's angular acceleration (in rad/s2)
rad/s2
(b)
the tangential acceleration...
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Suppose once again that the space station begins at rest, not
rotating. This time, instead of using rocket engines attached to
the spherical end modules, we will have small probes periodically
launched from two points on the rod-shaped part of the station as
shown. The probes will launch in pairs in opposite directions, each
individual probe of identical mass 1287 kg and launched at a speed
of 15900 m/s with respect to the space station....
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These questions concern a space station, consisting of a long
thin uniform rod of mass 4.3 x 10^6 kg and length 769 meters, with
two identical uniform hollow spheres, each of mass 1.7 x 10^6 kg
and radius 218 meters, attached at the ends of the rod, as shown
below. Please note that none of the diagrams shown is drawn to
scale.
A. Suppose that the station starts out at rest (not rotating).
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