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erica [24]
2 years ago
6

Express the moment of the couple acting on the rod in cartesian vector form. What is the magnitude of the couple moment?

Mathematics
1 answer:
mash [69]2 years ago
4 0
We are given with the vectors
-F = 4i - 3j + 4k
and
F = -4i + 3j - 4k
To get the moment, we determine the cross product between the two vectors
-F x F = 0i + 0j + 0k
The magnitude is 0 but this is if the pivot is the origin. In the couple, the magnitude is 4.
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Answer:

16/25 an the percentage is 64%

Step-by-step explanation:

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ASAP PEEPS!!! Mr. Smith received a bonus of $596 from his employer. He has to pay 34% of his bonus to taxes. About how much will
aleksandrvk [35]

$202.64  34% of 596 is $202.64

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Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m
densk [106]

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled \frac{15*32}{60} = \frac{32}{4} = 8\text{km}

So, his position after t minutes can be modeled by the following function:

J(t) = 8 + 32t

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

M(t) = 52t

At what time did she catch up with Jorden,

She catches up t minutes after 6:15 AM.

t is found when

M(t) = J(t)

So

8 + 32t = 52t

20t = 8

t = \frac{8}{20}

t = 0.4

0.4 of an hour is 0.4*60 = 24 minutes.

So she catched up with Jordan after 6:15 AM + 24 minutes = 6:39 AM

4 0
2 years ago
A cylinder has a base diameter of 20 meters and a height of 10 meters. What is it’s volume in cubic meters, to the nearest tenth
Korvikt [17]

3141.6 cubic meters

Step-by-step explanation:

The volume of a cylinder is given by;

πr²h

π * (²⁰/₂)² * 10

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4 0
3 years ago
Find the area of the shaded region. (Plz show work)
Kamila [148]

Answer:

Area of shaded region ≈ 192.42

Step-by-step explanation:

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radius = 10.5 m

A = πr squared

Area of shaded region≈346.36

10.5 - 3.5 = 7

Area of unshaded region ≈ 153.94

346.36 - 153.94 = 192.42

8 0
3 years ago
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