Answer:
No he will not make it all the way
Explanation:
In the attached figure we can see the plank will turn only of the turning moment will be greater than the restoring moment.
balancing moment is created by weight of the plank which acts at the center of the plank thus we have
taking moments about the support A we have
Balancing moment = [tex]M_{balancing}=100\times 2.5\times 9.81=2452.5Nm[/tex]
The disturbing moment created by bob equals
[tex]M_{disturbing 1}=50\times 2\times 9.81=981Nm[/tex]
The maximum disturbing moment created by bob occurs when he is at the far left side equaling
[tex]M_{disturbing 2}=90\times 2\times 9.81=1765.8Nm[/tex]
Thus the maximum disturbing moment is sum of the above 2 moments
[tex]M_{max}=1765.8+981=2746.8Nm[/tex] which is highly greater than the stabling moment thus he will not make it.
