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Human Biomechanics

Human Biomechanics

Background:

You are a consulting biomedical/industrial engineer assisting an employer in a prominent regional manufacturing company. An employee has torn a distal biceps tendon and must undergo rehabilitation. An injury specialist has performed tests and advises that the injured tendon should not be subjected to forces exceeding 500 N during rehabilitation. The employee’s job requires routine handling of parts ranging from 2-6 kg. During manipulation of these parts, the employee must extend the arm with supinated palm and hold the forearm in a horizontal position such that the angle between the long axis of the upper arm and the forearm ranges from 30°-70°. Your task is to perform biostatics analysis to determine if any of these loads causes tendon tension to exceed the value advised by the injury specialist.

Theoretical System Parameters for Biostatics Analysis:

Fig: shows a pictorial diagram of the extended forearm holding a load in the supinated hand. Assume that the axis of rotation of the elbow is fixed at point O and that the distance between O and the attachment point of the distal biceps tendon is a = 5.7 cm. The mass of the entire forearm including hand is mb = 1.66 kg and its center of gravity is located b = 21.0 cm from O. Define the load in the hand as mc; its center of gravity is located c = 40.6 cm from O. Define Fm as the biceps tendon tension. Assume that the line of action of Fm is parallel to the long axis of the upper arm throughout the specified range of motion. Therefore, define θ as the angle Fm makes with the forearm; i.e., with respect to horizontal.

Guidelines:
1) Prepare an electronically-generated free-body diagram of the system utilizing the parameters outlined above. You may use shapes in MS Word or the drawing program of your choice. Include all dimensional information and a coordinate system.
2) Derive an expression for the magnitude Fm in terms of θ and mc. Hint: you only need one rotational equilibrium equation to do this.
3) Compute Fm for each of five masses placed in the hand [mc = 2.0, 3.0, 4.0, 5.0, and 6.0 kg] at each of five angles of distal biceps tendon tension [θ = 30, 40, 50, 60, and 70°]. Prepare a table with these 25 values of distal biceps tendon tension, with θ placed along the x-axis (columns) and mc placed along the y-axis (rows). Label and caption this table. Highlight values that exceed the limit advised by the injury specialist in a suitable color.
Questions:
** Discuss the figures in the table and charts and address the following questions:

1)What happens to the theoretical magnitude of distal biceps tendon tension as the
arm becomes fully extended; i.e., θ approaches zero degrees?
2) What does this suggest about the limitations of our analysis?

Conclusions and Recommendations:
3) Should the injured employee undergo on-the-job rehabilitation?
4) Specify design parameters for a rehabilitation algorithm based on your computations.

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