- #1
Pushoam
- 962
- 51
Homework Statement
Homework Equations
The Attempt at a Solution
For drum A,
Eqn. of COM motion gives,
## T(\hat y ) + Mg (- \hat y ) = M a_A (\hat y ) ## ; ## a_A = - |a_A| ## eq (1)
I need to know T here for getting ## a_A ##.
For drum B,
Eqn. of COM motion doesn't give any useful information.
Torque (about COM) analysis gives,
##R(\hat x) \times T ( - \hat y ) = I \alpha_B (\hat z )## ; ## \alpha_B = - | \alpha_B| ## eq (2)
Similar Torque analysis for drum A gives, ## \alpha _A = \alpha_B##
Now, the distance the drum A moves down is equal to the sum of the length of the metal ape released by each drum.
This gives, ## a_A = ( 2\alpha _B) R ## eq (3)
Now, the above three eqns. give,
##a_A = - \frac 2 3 g,~ g>0##
Is this correct?
Would you please tell me how to number an eqn. on PF?