At the instant the displacement of a 2.00 kg object relative to the origin is d → = ( 2.00 m ) i ^ + ( 4 .00 m ) j ^ − ( 3.00 m ) k ^ , its velocity is v → = − ( 6.00 m/s ) i ^ + ( 3 .00 m/s ) j ^ + ( 3.00 m/s ) k ^ and it is subject to a force F → = ( 6.00 N ) i ^ − ( 8 .00 N ) j ^ + ( 4.00 N ) k ^ . Find (a) the acceleration of the object, (b) the angular momentum of the object about the origin, (c) the torque about the origin acting on the object, and (d) the angle between the velocity of the object and the force acting on the object.
At the instant the displacement of a 2.00 kg object relative to the origin is d → = ( 2.00 m ) i ^ + ( 4 .00 m ) j ^ − ( 3.00 m ) k ^ , its velocity is v → = − ( 6.00 m/s ) i ^ + ( 3 .00 m/s ) j ^ + ( 3.00 m/s ) k ^ and it is subject to a force F → = ( 6.00 N ) i ^ − ( 8 .00 N ) j ^ + ( 4.00 N ) k ^ . Find (a) the acceleration of the object, (b) the angular momentum of the object about the origin, (c) the torque about the origin acting on the object, and (d) the angle between the velocity of the object and the force acting on the object.
At the instant the displacement of a 2.00 kg object relative to the origin is
d
→
=
(
2.00
m
)
i
^
+
(
4
.00 m
)
j
^
−
(
3.00
m
)
k
^
, its velocity is
v
→
=
−
(
6.00
m/s
)
i
^
+
(
3
.00 m/s
)
j
^
+
(
3.00
m/s
)
k
^
and it is subject to a force
F
→
=
(
6.00
N
)
i
^
−
(
8
.00 N
)
j
^
+
(
4.00
N
)
k
^
. Find (a) the acceleration of the object, (b) the angular momentum of the object about the origin, (c) the torque about the origin acting on the object, and (d) the angle between the velocity of the object and the force acting on the object.
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
Imagine you are out for a stroll on a sunny day when you encounter a lake. Unpolarized light from the sun is reflected off the lake into your eyes. However, you notice when you put on your vertically polarized sunglasses, the light reflected off the lake no longer reaches your eyes. What is the angle between the unpolarized light and the surface of the water, in degrees, measured from the horizontal? You may assume the index of refraction of air is nair=1 and the index of refraction of water is nwater=1.33 . Round your answer to three significant figures. Just enter the number, nothing else.
Deduce what overvoltage is like in reversible electrodes.
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Chapter 11 Solutions
Fundamentals Of Physics 11e Student Solutions Manual
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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