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DYNAMICS - Lecture Notes / Mehmet Zor

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23 Agust, 2024

1.2.3 Rectangular (x,y,z) Components:

 

 

 

 

 

 

 

 

 

 

 

 

 

moment t

 

 

  • The position, velocity and acceleration of an object in curvilinear motion at a point P are found according to the x, y, z Cartesian coordinates as follows:

 

  • Curvilinear motion is considered as the sum of three different linear motions in the x, y, and z axes. For each axis, the position, velocity, and acceleration equations are independent of those in the other axes.

 

 

 

 

 

 

 

(1.18)

(1.19)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1.2.3 Kinematics of Particle / Curvilinear Motion / Rectangular Components

Figure 1.2.13

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DYNAMICS - Lecture Notes / Mehmet Zor

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23 Agust, 2024

 

 

 

 

 

 

Example 1.2.4

The coordinates of a duron change as

x = 3t2 +5 , y = 4t, z = 2t3 according to the point it is controlled. Accordingly, determine the distance, speed and acceleration of the duron to the control point in the 2nd second.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Solution:

1.2.3 Kinematics of Particle / Curvilinear Motion / Rectangular Components

 

 

Figure 1.2.14