E hoʻoholo i nā ʻāpana vector

Nā pilikia i hoʻoponopono ʻia ma nā vectors - hoʻoholo i nā ʻāpana vector

1. Hana kahi ikaika o 20 Newton i kahi kihi o 30 o me ke axis-x. E huli i nā ʻāpana x a me y o ka ikaika.

Ke hoʻoponopono nei i nā pilikia vectors - ke hoʻoholo nei i nā ʻāpana vector 1pāʻoihana

ʻO F x = F cos 30 o = (20)(cos 30 o ) = (20)(0.5 √ 3 ) = 10 √ 3 Newtons

F y = F sin 30 o = (20)(sin 30 o ) = (20)(0.5) = 10 Newtons

ʻAʻole maopopo

2. Hana ʻo F 1 = 20 Newton i kahi kihi o 30 o me ke axis y a hana ʻo F 2 = 30 Newton i kahi kihi o 60 o me ke axis -x. E huli i nā ʻāpana x a me y o F 1 a me F 2.

Ke hoʻoponopono nei i nā pilikia vectors - ke hoʻoholo nei i nā ʻāpana vector 2pāʻoihana

F 1x = F 1 cos 60 o = (20)(cos 60 o ) = (20)(0.5) = -10 Newtons (maikaʻi ʻole no ka mea he kuhikuhi like kona me ke axis -x)

F 2x = F 2 cos 60 o = (30)(cos 60 o ) = (30)(0.5) = -15 Newtons (maikaʻi ʻole no ka mea he kuhikuhi like kona me ke axis -x)

F1y =F1 hewa 60o = (20)(hewa 60o) = (20)(0.5√3) = 10√3 ʻO Newton (maikaʻi no ka mea he like kona kuhikuhi me ke axis y)

F2y =F2 hewa 60o = (30)(hewa 60o) = (30)(0.5√3) = -15√3 ʻO Newton (maikaʻi ʻole no ka mea he like kona kuhikuhi me ke axis -y)

ʻAʻole maopopo

3. F 1 = 2 N, F 2 = 4 N, F 3 = 6 N. E huli i nā ʻāpana x a me y o F 1 , F 2 a me F 3!

Ke hoʻoponopono nei i nā pilikia vectors - ke hoʻoholo nei i nā ʻāpana vector 3pāʻoihana

F 1x = F 1 cos 60 o = (2)(cos 60 o ) = (2)(0.5) = 1 Newtons (maikaʻi no ka mea he kuhikuhi like kona me ke axis x)

F2x =F2 hele 30o = (4)(cos 30o) = (4)(0.5√3) = -2√3 ʻO Newton (maikaʻi ʻole no ka mea he kuhikuhi like kona me ke axis -x)

F 3x = F 3 cos 60 o = (6)(cos 60 o ) = (6)(0.5) = 3 Newtons (maikaʻi no ka mea he kuhikuhi like kona me ke axis x)

F1y =F1 hewa 60o = (2)(hewa 60o) = (2)(0.5√3) = √3 ʻO Newton (maikaʻi no ka mea he like kona kuhikuhi me ke axis y)

F 2 y = F 2 sin 3 0 o = (4)(sin 30 o ) = (4)(0.5) = 2 Newtons (maikaʻi no ka mea he kuhikuhi like kona me ke axis y)

F3y =F3 hewa 60o = (6)(hewa 60o) = (6)(0.5√3) = -3√3 ʻO Newton (maikaʻi ʻole no ka mea he kuhikuhi like kona me ke axis -y)

ʻAʻole maopopo

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  1. E hoʻoholo i ka hopena o loko o kahi vector laina
  2. E hoʻoholo i nā ʻāpana vector
  3. E hoʻoholo i ka hopena o nā vectors ʻelua me ka hoʻohana ʻana i ka Pythagorean theorem
  4. E hoʻoholo i ka hopena o nā vectors ʻelua me ka hoʻohana ʻana i ka hoohalike cosines
  5. E hoʻoholo i ka hopena o ʻelua mau vectors me ka hoʻohana ʻana i nā ʻāpana o nā vectors

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