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Posted: Sun Jul 17, 2022 8:00 pm
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Their magnitudes are: A = 7.0 m, B = 11.6 m, D = 7.8 m
the angles in the figure are:
𝛼= 52.0°,
𝛽= 55.0°,
𝛿= 15.5°
The vector𝐴⃗ +𝐵⃗ +𝐷⃗ is labeled as vector𝑅⃗.After making the arrangement of 𝐴⃗ ,𝐵⃗ ,𝐷⃗ , howshould you draw vector𝑅⃗
Calculate the x component of vector𝑅⃗
Calculate the y component of vector𝑅⃗
Calculate magnitude of vector𝑅⃗
FInd the direction of the vector𝑅⃗
.The direction is represented by a counterclockwise angle fromthe +x axis.
Modified scenario:
Vecors 𝐴⃗ and𝐵⃗ are the same as above,
Their magnitudes are: A = 7.0 m, B = 11.6 m,
the angles in the figure are: 𝛼= 52.0°,
𝛽= 55.0°,but vector𝐷⃗ is changed so as tomake𝐴⃗ +𝐵⃗ +𝐷⃗ new = 0
Write𝐷⃗ new in terms of𝐴⃗ and𝐵⃗
Calculate the x component of vector𝐷⃗ new, Dnew,x:
Calculate the y component of vector𝐷⃗ new, Dnew,y
Calculate the magnitude of vector𝐷⃗ new,
Find the direction of the vector𝐷⃗ new.The direction isrepresented by a counterclockwise angle from +x axis
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