Next
calculate aP . aP = aC + aP/C |n + aP/C |t
Note: aP/C
|n = 0
since disk starts from rest
i.e. ω = 0
aP = ˗ 1.1875 i
+ α k x ˗ r j
= ˗ 1.1875 i +
1.90625 k x ˗ 4 j = 6.44 i m/sec2
Result: Since aP
and F are in opposite
directions, slipping does occur in the + x-direction.
Therefore: aC
= ˗ 1.1875 i m/sec2 and
α = 1.90625 k rad/sec2
As
a check, click here to consider case
3 where the disk rolls and slips in the
˗ x - direction.
Note
the free body diagram will need to be revised to show the correct direction
for the
assumed
friction force, F.
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