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I do not know if omega_AB is equal to the omega of the disk. You should let your analysis tell you if that is true.
Suggestions:
1) Write a rigid body velocity equation between O and C on the disk to find omega_disk. (Alternately, use the fact that C is the IC for the disk to find omega_disk.)
2) Write a rigid body velocity equation between O and A (disk): v_A = v_O + omega_disk x r_A/O (v_O is given)
3) Write a rigid body velocity equation between A and B (link AB): v_B = v_A + omega_AB x r_B/A
4) Write a rigid body velocity equation between B and D (link BD): v_B = v_D + omega_BD x r_B/D (where v_D = 0).
5) Substitute equation 2) into 3) and 4) into 3). This will give you one vector equation (TWO scalar equations) with two unknowns: omega_BD and omega_AB
You can repeat the above process using the rigid body acceleration equations. This will produce two scalar equations in terms of the two unknowns of alpha_BD and alpha_AB.
2 comments:
I do not know if omega_AB is equal to the omega of the disk. You should let your analysis tell you if that is true.
Suggestions:
1) Write a rigid body velocity equation between O and C on the disk to find omega_disk. (Alternately, use the fact that C is the IC for the disk to find omega_disk.)
2) Write a rigid body velocity equation between O and A (disk): v_A = v_O + omega_disk x r_A/O (v_O is given)
3) Write a rigid body velocity equation between A and B (link AB): v_B = v_A + omega_AB x r_B/A
4) Write a rigid body velocity equation between B and D (link BD): v_B = v_D + omega_BD x r_B/D (where v_D = 0).
5) Substitute equation 2) into 3) and 4) into 3). This will give you one vector equation (TWO scalar equations) with two unknowns: omega_BD and omega_AB
You can repeat the above process using the rigid body acceleration equations. This will produce two scalar equations in terms of the two unknowns of alpha_BD and alpha_AB.
Does this help?
yes, this helps me
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