Sunday, July 26, 2009

Static Equilibrium Problem?

Problem: A baseball/forearm system is at rest.


It is acted on by four different forces: the weight of the forearm, the weight of the baseball, the bicep force, and a force from the upper arm bone.





Given Information:


length of forearm = L = 13 cm


elbow to bicep distance = d = 2 cm


mass of forearm = M = 3 kg


mass of baseball = m = 2 kg





Questions:


a.) How large is the force exerted by the bicep?





c.) The force exerted by the upper arm bone on the forearm must be?








Ok, so far all I know is that the total Torque and Forces (x and y component) must equal to zero. But, I am having trouble with figuring out the Force of the upper arm bone and the force of the bicep.

Static Equilibrium Problem?
2g at .13m + 3g at .13/2 m = F at .02m


so F=.13(2+1.5)g/.02=223N c)





Assuming the bicep muscle forms a triangle with the elbow the right angle and both sides 2cm=.02m. This would be a 45deg angle. So the tension in the bicep is 223/sin45


=315.3N a)


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