Mathematics, 11.10.2019 01:00 caudhdi11721

Okeep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. for a 70.0kg person, the mass of the upper leg would be 8.60kg , while that of the lower leg (including the foot) would be 5.30kg . find the -coordinate of the center of mass of this leg, relative to the hip joint, if it is stretched out horizontally.

Answers: 1

Show answers

Answers

Answer from: apowers1760

81.1 cm

Step-by-step explanation:

The sum of moments about the hip joint is ...

(8.60 kg)(92 cm/2) + (5.30 kg)(92 cm +92 cm/2))

= 395.6 kg·cm +731.4 kg·cm = 1127 kg·cm

The mass of the leg is 8.60 +5.30 kg = 13.9 kg, so the above moment is equivalent to that mass at a distance of ...

(1127 kg·cm)/(13.9 kg) = 81.08 cm

The center of mass of the stretched-out leg is about 81.1 cm from the hip.

Answer from: nsalhady1721

(40.5;0) cm

Step-by-step explanation:

We know that:

The length of the leg is: l=92cm

The problem says that each part of the leg has the same length, that is:

$l_{upper}=\frac{92}{2} = 46cm= l_{lower}$

Also, the leg is uniform, so the center of mass of each part is in the middle, this is the position (r):

$r_{upper} = \frac{46}{2}= 23cm\\ r_{lower} = 46 + 23 = 69cm$

This means that the center of mass of the upper leg is 23cm from the hip, and the lower leg if 69c m from the hip.

In addition, we know each mass:

$m_{upper} = 8.60kg\\m_{lower}=5.30kg$

Now, we have all values needed, we use the proper equation to calculate the center of mass of the leg:

$r \ _{CM} = \frac{m_{upper}r_{upper} + m_{lower}r_{lower} }{m_{upper}+m_{lower}} \\r \ _{CM} =\frac{(8.60)(23)+(5.30)(69)}{8.60+5.30} =\frac{197.8+365.7}{13.9} \\r \ _{CM} =40.5cm$

Therefore, the center of mass of the leg is 40.5m from the hip in a horizontal direction because it's stretched out horizontally Specifically, the coordinates are (40.5;0) cm.

Answer from: Quest

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

Answer from: Quest

7,24

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 19:30

Runner ran 1 4/5 miles on monday and 6 3/10 on tuesday. how many times her monday’s distance was her tuesdays distance

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

Your company will replace the asphalt roofs on all the buildings at the factory complex shown below. the buildings have flat roofs. you charge according to the total roof area. what is this area, in square yards?

Answers: 3

Answer

Mathematics, 22.06.2019 02:30

Carlos by 24 mi and ran 6 miles what is the ratio of the distance carlos ran to the distance he biked

Answers: 1

Answer

Mathematics, 22.06.2019 04:30

Can someone plz me with 11,12,13 plz show work

Answers: 3

Answer

You know the right answer?

Okeep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0c...