Problem 1 - Draw the moment arms for each of the following force vectors.

Problem 2 - a) Identify the following events on this should internal/external angular displacement graph. Use a vertical line to show at what time point the event occurred and use the Roman Numeral corresponding to the event. Note there may be more than 1 correct answer. Make only a single choice for each event.

I. Change of direction

II. Peak Velocity

b) Identify the following events on this hip angular velocity graph. Use a vertical line to show at what time point the event occurred and use the Roman Numeral corresponding to the event. Note there may be more than 1 correct answer. Make only a single choice for each event.

I. Change of direction

II. Peak angular velocity

III. Positive acceleration

Problem 3 - Sketch the length-tension curve for sarcomeres. Be sure to label your axes and include all portions of the curve.

Problem 4 - a) An athlete pedals 108 revolutions on a cycle ergometer and indicates that 11603 joule of work was done. The cycle ergometer has a radius of 0.38m. What resistance was the cycle ergometer set at?

b) The 58kg athlete performs the same work on a 3.8kg bicycle on a road. However, 75%of the energy in the previous question is used to overcome the force of friction between the tires and the road. Given these variables, what would the velocity of the athlete be?

Problem 5 - a) Given the following variables, solve for the deltoid muscle force under static equilibrium conditions

Mass = 75kg

Mass of the upper limb = 5% of body mass

Insertion angle of the deltoid = 12^o

Insertion distance from COR = 0.07m

Should abduction angle = 40^o

Moment arm for COM - 0.219m

b) What is the joint reaction force in the x direction?

c) If the muscle force is 3500N and the resulting angular acceleration is 18 rad/s², what is the upper extremity's moment of inertia? Use the moment arm for the muscle calculated in part 'a'.