## HW 8 – Extra Credit

Wednesday, April 20th, 2016

Repeat the above analysis (a-c) for the ankle, knee, and hip using running data in the file, running_data.xls. The position data starts on line 36009 in the file.   Analyze the angular motions for the pitching data. Calculate the moments at the wrist, elbow, and shoulder.   Analyze the angular motions for the running data. […]

## HW 8 – Problem 1

Wednesday, April 20th, 2016

You are given the position of the shoulder, elbow, wrist, and 3rd knuckle with respect to time in the attached file (pitching_data.xls). The subject in was a Division 1 baseball pitcher with a mass of 78 Kg and a total height of 1.85 m. Segmented mass information is given in the following table:   Plagenhoef, […]

## Homework 7 Problem 4

Monday, April 11th, 2016

For the cases e=0 and e=1 mm: 4a) Calculate the bending moment at the cross-section AA. 4b) Determine the neutral axis (should be easy for this case). 4c) Calculate the peak stresses in the trabecular and cortical regions. 4d) Determine the fracture risk.

## Homework 7 Problem 3

Monday, April 11th, 2016

3a)      Modeling the jumper’s center of mass as a particle, determine the minimum initial velocity required for the center of mass to reach the same height as the bar.  The jumper’s center of mass has an initial height of 1 meter. 3b)      Calculate the force required to accelerate the particle (jumper’s center of […]

## Homework 7 Problem 2

Monday, April 11th, 2016

2a)      Calculate the minimum initial speed required for him to reach the top of the building for an arbitrary takeoff angle theta. 2b)      Plot the minimum initial speed (calculated in 2a) vs. the takeoff angle from 60 o -85o. 2c)       Using Cotter’s method, determine whether the height of the building or the takeoff […]

## Homework 7 Problem 1

Monday, April 11th, 2016

1a)      Calculate the minimum initial speed required for him to reach the top of the building. 1b)      Calculate the distance away from the base of the building he should take off. 1c)       Calculate the force required to accelerate Superman from 0 m/s to your calculated initial velocity in (a).

## Homework 6 Problem 6

Monday, March 14th, 2016

6.         Consider Willie Mays hitting a homerun.  Model the ball as particle and consider the motion of the particle (ball) in two dimensions (the ball moves in a vertical plane). 6a.       Draw a FBD of the ball immediately after impact from the bat 6b.       Write out the governing equations of motion […]

## Homework 6 – Problem 5

Monday, March 14th, 2016

5.         Consider the Flash running. 5a.       Write the expression for the horizontal force due to the contact between the Flash and the ground as a function of velocity. 5b.       Determine the horizontal force due to the contact between the Flash and the ground if he moves at a constant speed […]

## Homework 6 – Problem 4

Monday, March 14th, 2016

4.          A player pitches a baseball toward a speed-sensing radar gun. 4a.       Determine the speed as a function of x. 4b.       Evaluate your answer for a distance of 60 ft. 4c.       Use Cotter’s Method to determine the sensitivities of the following variables: baseball weight (±1/8 ounces), circumference (±1/8 inch), drag […]

## Homework 6 – Problem 3

Monday, March 14th, 2016

3.         A broad jumper approaches point A with a horizontal velocity of 30 ft/sec. 3a.       Determine the vertical component of the velocity of his center of mass at takeoff for him to make the jump shown below. 3b.       Calculate the vertical rise, h, of his center of mass.