For a translating block with slipping find the maximum force F

  • #1
annamal
381
33
Homework Statement
For a translating block with slipping find the maximum force F to cause no tipping
Relevant Equations
Ig*alpha = sum of moments
For this translating block problem, below is the solution. I was wondering why if I took the moment about the center of gravity G, the answer for F would no longer be the same because ##I_G \alpha = -\mu_k N (h/2) + N (b/2) - F*d = 0## because ##\alpha = 0##
$$F = \frac{-\mu_k mg (h/2) + mg(b/2)}{d}$$
What am I doing wrong by taking the moment about G though?
Screenshot 2024-03-19 at 9.15.09 PM.png
 
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  • #2
annamal said:
## -\mu_k N (h/2) + N (b/2) - F*d = 0##
Is ##d## the correct distance for the last term on the left-hand side?
 
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  • #3
TSny said:
Is ##d## the correct distance for the last term on the left-hand side?
Resolved, that was my mistake. The distance is d - h/2.
 
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