Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicular to its length ( I = M l 2 / 3 ) , prove that the moment of inertia of a rod rotated about an axis through its center perpendicular to its length is I = M l 2 / 12 . You will find the graphics in Figure 10.12 useful in visualizing these rotations.
Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicular to its length ( I = M l 2 / 3 ) , prove that the moment of inertia of a rod rotated about an axis through its center perpendicular to its length is I = M l 2 / 12 . You will find the graphics in Figure 10.12 useful in visualizing these rotations.
Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicular to its length
(
I
=
M
l
2
/
3
)
, prove that the moment of inertia of a rod rotated about an axis through its center perpendicular to its length is
I
=
M
l
2
/
12
. You will find the graphics in Figure 10.12 useful in visualizing these rotations.
2.62 Collision. The engineer of a passenger train traveling at
25.0 m/s sights a freight train whose caboose is 200 m ahead on the
same track (Fig. P2.62). The freight train is traveling at 15.0 m/s in the
same direction as the passenger train. The engineer of the passenger
train immediately applies the brakes, causing a constant acceleration
of 0.100 m/s² in a direction opposite to the train's velocity, while the
freight train continues with constant speed. Take x = 0 at the location
of the front of the passenger train when the engineer applies the brakes.
(a) Will the cows nearby witness a collision? (b) If so, where will it take
place? (c) On a single graph, sketch the positions of the front of the pas-
senger train and the back of the freight train.
Can I get help with how to calculate total displacement? The answer is 78.3x-4.8y
2.70 Egg Drop. You are on the Figure P2.70
roof of the physics building, 46.0 m
above the ground (Fig. P2.70). Your
physics professor, who is 1.80 m tall,
is walking alongside the building at
a constant speed of 1.20 m/s. If you
wish to drop an egg on your profes-
sor's head, where should the profes-
sor be when you release the egg?
Assume that the egg is in free fall.
2.71 CALC The acceleration
of a particle is given by ax(t) =
-2.00 m/s² +(3.00 m/s³)t. (a)
Find the initial velocity Vox such that
v = 1.20 m/s
1.80 m
46.0 m
Biology: Life on Earth with Physiology (11th Edition)
Knowledge Booster
Learn more about
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.