الخامسة المحاضرة
4.1 The Position, Velocity, and Acceleration Vectors
The position of a particle by its position vector r, drawn from the origin of some coordinate system to the particle located in the xy plane
Displacement vector:
4.1 The Position, Velocity, and Acceleration Vectors
The average velocity:
Note that the average velocity
between points is independent
of the path taken.
4.1 The Position, Velocity, and Acceleration Vectors
The instantaneous velocity v:
The magnitude of the instantaneous velocity vector is called the speed, which is a scalar quantity.
4.1 The Position, Velocity, and Acceleration Vectors
The average acceleration:
The instantaneous acceleration:
4.1 The Position, Velocity, and Acceleration Vectors
4.2 Two-Dimensional Motion withConstant Acceleration
The position vector for a particle moving in the xy plane:
The velocity of the particle
The equations of kinematics to the x and y components
-Velocity vector as a function of time:
Then:
The equations of kinematics to the x and y components
Position vector as a function of time:
Then:
The equations of kinematics to the x and y components
These equations can be written in component form:
Example 4.1
Example 4.1
Example 4.1
4.4 Uniform Circular Motion
Figure shows a car moving in a circular path with constant speed v. Such motion is called uniform circular motion.
In circular motion, the velocity vector is changing
in direction, so there an acceleration.
4.4 Uniform Circular Motion
-An acceleration of circular motion is called a centripetal acceleration
-The acceleration vector is perpendicular to the path, toward the center of the circle.
-Centripetal Acceleration is not Constant
4.4 Uniform Circular Motion
4.4 Uniform Circular Motion
Example 4.8
Question (1)
Question (2)
Question (18)
Question (21)
Question (22)
Problem (4.2)
Problem (4.2)
Problem (5)
Problem (6)
Problem (27)
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