5. Dak Prescott has a mass of 107 kg and is 25 years old. Calculate the total moment of inertia for his arm, considering his shoulder to be the axis of rotation, when he is getting ready to throw a touchdown pass. The football has a mass of 0.45kg. You can add the mass of the football to the mass of his hand. Segment Length (cm) Mass (%) COM Location (%) W M W M W M Upper Arm 27.51 28.17 2.55 2.71 57.54 57.72 Forearm 26.43 26.89 1.38 1.62 45.59 45.74 Hand 7.80 8.62 0.56 0.61 74.74 79.00 Thigh 36.85 42.22 14.78 14.16 36.12 40.95 Shank 43.23 43.40 4.81 4.33 44.16 44.59 Foot 22.83 25.81 1.29 1.37 40.14 44.15 Segment Mass K k2 I Upper arm Forearm Hand Total I

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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I need help with problem 6
5. Dak Prescott has a mass of 107 kg and is 25 years old. Calculate the total moment of
inertia for his arm, considering his shoulder to be the axis of rotation, when he is getting
ready to throw a touchdown pass. The football has a mass of 0.45kg. You can add the
mass of the football to the mass of his hand.
Segment
Length (cm)
Mass (%)
COM Location (%)
W
W
M
W
Upper Arm
27.51
28.17
2.55
2.71
57.54
57.72
Forearm
26.43
26.89
1.38
1.62
45.59
45.74
Hand
7.80
8.62
0.56
0.61
74.74
79.00
Thigh
36.85
42.22
14.78
14.16
36.12
40.95
Shank
43.23
43.40
4.81
4.33
44.16
44.59
Foot
22.83
25.81
1.29
1.37
40.14
44.15
Segment
Mass
K
k2
I
Upper arm
Forearm
Hand
Total I
Transcribed Image Text:5. Dak Prescott has a mass of 107 kg and is 25 years old. Calculate the total moment of inertia for his arm, considering his shoulder to be the axis of rotation, when he is getting ready to throw a touchdown pass. The football has a mass of 0.45kg. You can add the mass of the football to the mass of his hand. Segment Length (cm) Mass (%) COM Location (%) W W M W Upper Arm 27.51 28.17 2.55 2.71 57.54 57.72 Forearm 26.43 26.89 1.38 1.62 45.59 45.74 Hand 7.80 8.62 0.56 0.61 74.74 79.00 Thigh 36.85 42.22 14.78 14.16 36.12 40.95 Shank 43.23 43.40 4.81 4.33 44.16 44.59 Foot 22.83 25.81 1.29 1.37 40.14 44.15 Segment Mass K k2 I Upper arm Forearm Hand Total I
Moment of Inertia: Example
A 60 kg collegiate swimmer is getting warmed-up for their 1650 yard race. She was told by her
coach to perform arm circles before she was ready to get in the pool. Calculate the total Moment
of Inertia for the arm about the shoulder (the glenohumeral joint is the axis of rotation).
1. Make chart for the needed calculations (provided for you).
2. Calculate the mass for each segment by multiplying the mass of the individual by the %
mass at the segment (Table 1). Remember to convert the values in the table by moving
the decimal two spots to the left (2.55 % is 0.0255; 2.71 % is 0.0271).
3. Calculate the radius of gyration by multiplying the length of the segment by the COM
location and adding on additional segments if needed (Table 1). For example, when
calculating the moment of inertia for the forearm, you have to calculate the COM
location for the elbow and add the length of the upper arm to this value. When
calculating the moment of inertia for the hand, you have to calculate the COM location
for the hand and add the length of the forearm and upper arm to this value.
4. Square the radius of gyration.
5. Calculate the moment of inertia by multiplying the mass calculated for each segment and
the radius of gyration?.
6. Calculate the total moment of inertia by adding each segment moment of inertia together.
Segment
Mass
k
k2
Upper Arm
(60kg)(.0255)=
1.53kg
(2751)(.5754)= .158m
0.025m2 .038kgm2
Forearm
(60kg)(.0138)=
.828kg
(.2643)(.4559)+.2751=.348m
0.121
100
m2
kgm²
Hand
(60kg)(.0056)=
336kg
(.0780)(.7474)+.2751+.2643=
0.358
120
.598m
m²
kgm2
Total I
259 kgm2
Transcribed Image Text:Moment of Inertia: Example A 60 kg collegiate swimmer is getting warmed-up for their 1650 yard race. She was told by her coach to perform arm circles before she was ready to get in the pool. Calculate the total Moment of Inertia for the arm about the shoulder (the glenohumeral joint is the axis of rotation). 1. Make chart for the needed calculations (provided for you). 2. Calculate the mass for each segment by multiplying the mass of the individual by the % mass at the segment (Table 1). Remember to convert the values in the table by moving the decimal two spots to the left (2.55 % is 0.0255; 2.71 % is 0.0271). 3. Calculate the radius of gyration by multiplying the length of the segment by the COM location and adding on additional segments if needed (Table 1). For example, when calculating the moment of inertia for the forearm, you have to calculate the COM location for the elbow and add the length of the upper arm to this value. When calculating the moment of inertia for the hand, you have to calculate the COM location for the hand and add the length of the forearm and upper arm to this value. 4. Square the radius of gyration. 5. Calculate the moment of inertia by multiplying the mass calculated for each segment and the radius of gyration?. 6. Calculate the total moment of inertia by adding each segment moment of inertia together. Segment Mass k k2 Upper Arm (60kg)(.0255)= 1.53kg (2751)(.5754)= .158m 0.025m2 .038kgm2 Forearm (60kg)(.0138)= .828kg (.2643)(.4559)+.2751=.348m 0.121 100 m2 kgm² Hand (60kg)(.0056)= 336kg (.0780)(.7474)+.2751+.2643= 0.358 120 .598m m² kgm2 Total I 259 kgm2
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