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Barry enjoys doing bicep curls at the gym. In a bicep curl, Barry's forearm is rotated around his elbow, due to a torque generated by his bicep muscle. In figure 1 we have two lines representing Barry's shoulder, upper arm, elbow and forearm. Shoulder U pper Arm Elbow Forearm Figure 1: Barry's shoulder, upper arm, elbow and forearm. (a) Barry's bicep muscle connects from his shoulder to a point on his forearm, 4 cm from his elbow. His bicep makes an angle of 85° with his forearm . Draw a line on the diagram above to represent Barry's bicep. Make sure the distance from the elbow to the bicep connection with the forearm, and the angle between the forearm and bicep are also shown. (b) Barry's bicep can generate a force of 100 N - in the direction of the bicep - from the point the bicep connects to the forearm, to the point it connect with the shoulder. i) Calculate the components of the force Barry's bicep muscle is creating that are parallel with (F), and perpendicular to (F1), his forearm. ii) Calculate the torque Barry's bicep muscle is generating in his forearm. (c) George's bicep is exactly the same as Barry's except that his connects 4.5 cm from his elbow and can only generate 90 N of force along his bicep. Based only on the torque they can generate in the forearm, who can lift the heaviest weight with their arm? Also, based on your calculations, can a person with weaker muscles potentially lift more weight?

Barry enjoys doing bicep curls at the gym. In a bicep curl, Barry's forearm is rotated around his elbow, due to a torque generated by his bicep muscle. In figure 1 we have two lines representing Barry's shoulder, upper arm, elbow and forearm. Shoulder U pper Arm Elbow Forearm Figure 1: Barry's shoulder, upper arm, elbow and forearm. (a) Barry's bicep muscle connects from his shoulder to a point on his forearm, 4 cm from his elbow. His bicep makes an angle of 85° with his forearm . Draw a line on the diagram above to represent Barry's bicep. Make sure the distance from the elbow to the bicep connection with the forearm, and the angle between the forearm and bicep are also shown. (b) Barry's bicep can generate a force of 100 N - in the direction of the bicep - from the point the bicep connects to the forearm, to the point it connect with the shoulder. i) Calculate the components of the force Barry's bicep muscle is creating that are parallel with (F), and perpendicular to (F1), his forearm. ii) Calculate the torque Barry's bicep muscle is generating in his forearm. (c) George's bicep is exactly the same as Barry's except that his connects 4.5 cm from his elbow and can only generate 90 N of force along his bicep. Based only on the torque they can generate in the forearm, who can lift the heaviest weight with their arm? Also, based on your calculations, can a person with weaker muscles potentially lift more weight?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Barry enjoys doing bicep curls at the gym. In a bicep curl, Barry's forearm is rotated around his elbow, due to a torque generated by his bicep muscle. In figure 1 we have two lines representing Barry's shoulder, upper arm, elbow and forearm. Shoulder U pper Arm Elbow Forearm Figure 1: Barry's shoulder, upper arm, elbow and forearm. (a) Barry's bicep muscle connects from his shoulder to a point on his forearm, 4 cm from his elbow . His bicep makes an angle of 85° with his forearm . Draw a line on the diagram above to represent Barry's bicep. Make sure the distance from the elbow to the bicep connection with the forearm, and the angle between the forearm and bicep are also shown. (b) Barry's bicep can generate a force of 100 N - in the direction of the bicep - from the point the bicep connects to the forearm, to the point it connect with the shoulder. i) Calculate the components of the force Barry's bicep muscle is creating that are parallel with (F), and perpendicular to (F1), his forearm. ii) Calculate the torque Barry's bicep muscle is generating in his forearm. (c) George's bicep is exactly the same as Barry's except that his connects 4.5 cm from his elbow and can only generate 90 N of force along his bicep. Based only on the torque they can generate in the forearm, who can lift the heaviest weight with their arm? Also, based on your calculations, can a person with weaker muscles potentially lift more weight?
Transcribed Image Text:Barry enjoys doing bicep curls at the gym. In a bicep curl, Barry's forearm is rotated around his elbow, due to a torque generated by his bicep muscle. In figure 1 we have two lines representing Barry's shoulder, upper arm, elbow and forearm. Shoulder U pper Arm Elbow Forearm Figure 1: Barry's shoulder, upper arm, elbow and forearm. (a) Barry's bicep muscle connects from his shoulder to a point on his forearm, 4 cm from his elbow . His bicep makes an angle of 85° with his forearm . Draw a line on the diagram above to represent Barry's bicep. Make sure the distance from the elbow to the bicep connection with the forearm, and the angle between the forearm and bicep are also shown. (b) Barry's bicep can generate a force of 100 N - in the direction of the bicep - from the point the bicep connects to the forearm, to the point it connect with the shoulder. i) Calculate the components of the force Barry's bicep muscle is creating that are parallel with (F), and perpendicular to (F1), his forearm. ii) Calculate the torque Barry's bicep muscle is generating in his forearm. (c) George's bicep is exactly the same as Barry's except that his connects 4.5 cm from his elbow and can only generate 90 N of force along his bicep. Based only on the torque they can generate in the forearm, who can lift the heaviest weight with their arm? Also, based on your calculations, can a person with weaker muscles potentially lift more weight?
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