Angular Velocity & Acceleration for a Series of Connected Objects

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SUMMARY

The discussion focuses on calculating the total angular velocity and acceleration of a rotating disk connected to two arms, AD and DB, which rotate at rates of 0.2 rad/s² and -0.3 rad/s², respectively. The disk itself rotates at 1500 rpm about a small z-axis. The total angular acceleration is derived using the formula W = w(disk) + w(B/D) + w(D/A), where w represents angular velocity and α represents angular acceleration. The conversation emphasizes the distinction between angular and linear velocity in the context of the problem.

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  • Knowledge of vector mathematics in three-dimensional space
  • Proficiency in using mathematical formulas for rotational motion
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Mandex Chak
https://drive.google.com/file/d/0B0NXDy0RMDe7MXhMcjZBdkhoSDg/view?usp=sharing
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1.
A rotating disk is connected with two arms AD and DB which are rotating with the rate of 0.2 rad/s^2 and -0.3 rad/s^2 respectively about X or x' axis. Disk itself is rotating about small z axis with the rate of 1500 rpm.

AD and DB is rotating in ZY plane. Small z co-insides with DB arm. X and x are parallel. Length of the AD and DB is given.

Now how I should approach this problem to find the total angular velocity and acceleration of the disk with respect to the inertial co-ordinate system XYZ2. 3. So far what I think of the solution:
Total Angular Acceleration, w:
W = w(of the rotating disk) + w(B/D) + w(D/A)
Velocity V(B/A) = (V)Rel + (W * ( Position Vector R(B/A) ) )
 

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Mandex Chak said:
Total Angular Acceleration, w:
W = w(of the rotating disk) + w(B/D) + w(D/A)
Is that what you meant? w is more normally used (substituting for Greek ω) to mean angular velocity. α is used for angular acceleration.
Mandex Chak said:
Velocity V(B/A) = (V)Rel + (W * ( Position Vector R(B/A) ) )
That reads more like you are discussing linear velocity (referring to points B, A), not angular velocity.
 

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