Papa piko – ngā raruraru me ngā otinga

Papa piko – ngā raruraru me ngā otinga

1. Mass he 5 kg te taumaha o te poraka, te whakaterenga nā te kaha ā-papa = 9.8m/s², parauri 37 ^o = 3/4. He aha te whakaterenga o te poraka?

otinga

Mōhiotia:

papatipu (m) = 5 kg

te whakaterenga nā te kaha ā-papa (g) = 10 m/s²

taimaha (w) = mg = (5)(10) = 50 N

x = 3

Tuhinga o mua papa whakarara (y) = 4

Ko te roa o te mata papa whakarara (l) = 5

hiahia : whakatere o te poraka (a)?

Rongoā:

Ka whakaterea te poraka e te kaha o te w_xHe maeneene te papa piko, nō reira kāore he te kaha o te waku.

w_x = w sin θ = (w)(y / z)

w_x = (50)(4/5)

w_x = 40 Niutona

Te whakaterenga o te poraka (a)?

ΣF = ma

w_x = mā

40 = (5) he

ā = 40 / 5

a = 8 m/s²

2. I te tīmatanga he poraka e okioki ana, kātahi ka tere ake ki runga e whakarara ana ki te mata papatahi. Ko te papatipu o te poraka = 8 kg, te tauwehenga o te waku pateko µ_s = 0.5 me te koki θ = 45^oHe aha te rahi o te kaha F kia tere ake ai te poraka.

Mōhiotia:

Tauwehenga o te waku pateko (µ)_s) = 0.5

Koki (θ) = 45^o

Te whakaterenga nā te kaha ā-papa (g) = 10 m/s²

Papatipu o te poraka (m) = 8 kg

Taumaha poraka (w) = mg = (8 kg)(10 m/s)²) = 80 kg m/s² = 80 Niutona

E hiahiatia ana: Te rahi o te kaha F

Rongoā:

Tīmatanga poraka kia tere ake mēnā F ≥ w_x + f_s.

Wāhanga whakapae o te taumaha :

w_x = w hara θ = (80)(hara 45) = (80)(0.5√2) = 40√2

Wāhanga poutū o te taumaha:

w_y = w cos θ = (80)(cos 45) = (80)(0.5√2) = 40√2

Te kaha noa :

N = w_y = 40√2

Te kaha o te waku pateko:

f_s = µ_s N = (0.5)(40√2) = 20√2

Te rahi o te kaha F:

F ≥ w_x + f_s

F ≥ 40√2 + 20√2

F ≥ 60√2 Newton

3. Ko te taumaha o te poraka he 8 kg. Ko te kaha iti rawa e hiahiatia ana hei pupuri i te poraka so ko te poraka kaua e pahekes kei raro ko…(hara 37^o = 0.6, cos 37^o = 0.8, karamu = 10 ms^-2, µ_k = 0.1)

Mōhiotia:

Taumaha o te poraka (m) = 8 kg

Te whakaterenga nā te kaha ā-papa (g) = 10 m/s²

Taumaha o te poraka (w) = mg = (8)(10) = 80 Newton

Hara 37^o = 0.6

Kohinga 37^o = 0.8

Tauwehenga o te waku nekeneke (µ)_k) = 0.1

Te kaha noa (N) = w_y = w cos 37^o = (80)(0.8) = 64 Ngā Newton

E hiahiatia ana: Te rahi o te kaha F

Rongoā:

Kāore te poraka e paheke ki raro mēnā F = w_x

Wāhanga whakapae o te taumaha e whakarara ana ki te mata papatahi e anga ana:

w_x = w hara θ = (80)(hara 37) = (80)(0.6) = 48

f_k = µ_k N = (0.1)(64) = 6.4

Ko te iti rawa o te kaha F kia kore ai te poraka e paheke ki raro:

F + f_k - w_x = 0

F = w_x - f_k = 48 – 6.4 = 41.6 Nītona

4. Ka tōia tētahi poraka 5-kg i runga i te papa whakarara taratara e te kaha o te 71 N (g = 10 ms)^-2, hara 37^o = 0.6, cos 37^o = 0.8). Mena ko te tauwehenga o te kaha waku i waenga i te poraka me te papa piko he 0.4, he aha te whakaterenga o te poraka?

Mōhiotia:

Papatipu o te mea (m) = 5 kg

Te whakaterenga nā te kaha ā-papa (g) = 10 m/s²

taumaha o te poraka (w) = mg = (5)(10) = 50 Newton

Te Kaha F = 71 Newton

Hara 37^o = 0.6

Kohinga 37^o = 0.8

Tauwehenga o te waku = 0.4

hiahia Te whakaterenga o te poraka (a)

Rongoā:

Wāhanga whakapae o te taumaha :

w_x = w hara θ = (50)(hara 37) = (50)(0.6) = 30

Wāhanga poutū o te taumaha :

w_y = w cos θ = (50)(cos 37) = (50)(0.8) = 40

Te kaha noa:

N = w_y = 40

Te kaha o te waku nekeneke:

f_k = µ_k N = (0.4)(40) = 16

Te kaha kupenga:

∑F = F – w_x - f_k = 71 – 30 – 16 = 25 Ngā Newton

Te whakaterenga o te mea:

a = ∑F / m = 25 / 5 = 5 m/s²

5. He pouaka 500-N e hikitia ana ki te taraka mā roto i te papa whakarara, e whakaaturia ana i te pikitia i raro nei. Mena he 1.5 mita te teitei o te taraka, tautuhia te kaha o te nekehanga i te pouaka.

Mōhiotia:

taumaha o te pouaka (w) = 500 Newtons

te teitei o te taraka (h) = 1.5 mita

te roa o te papa whakarara (l) = 3 mita

E hiahiatia ana: Te kaha o te kaha hei neke i te pouaka (F)

Rongoā:

Hara θ = opp / hyp = 1.5 mita / 3 mita = 1.5 / 3 = 0.5

Te kaha (F) e hiahiatia ana hei neke i te pouaka, he rite tonu ki te wāhanga whakapae o te taumaha e whakarara ana ki te papa whakarara (w_x).

w_x = w hara θ = (500 N)(0.5) = 250 N

1. He aha te papa whāiti, ā, me pēhea e māmā ake ai te mahi?
   • WhakautuKo te papa piko he mata papatahi e anga atu ana ki tētahi mata whakapae (haunga te koki matau). Mā tēnei ka māmā ake te mahi mā te tuku i tētahi kaha kia whakamahia ki tētahi tawhiti roa hei wikitoria i tētahi kaha ātete, ā, ka whakaitihia te nui o te kaha e hiahiatia ana hei hiki, hei whakaheke rānei i tētahi mea.
2. He pēhea te pānga o te koki piko ki te kaha e hiahiatia ana hei neke i tētahi mea ki runga i te papa?
   • WhakautuKo te pari o te koki piko, ko te nui ake o te kaha e hiahiatia ana hei neke i tētahi mea ki runga i te papa. I te hekenga o te koki, ka heke te kaha e hiahiatia ana engari ka pāngia ki tētahi tawhiti roa.
3. He aha i māmā ake ai te pana i tētahi pouaka taumaha ki runga i te arawhata i te hiki tika ake?
   • WhakautuMā te pana i tētahi pouaka ki runga i tētahi arawhata (he papa piko) ka wehea te taumaha o te pouaka ki tētahi tawhiti roa ake, ka whakaitihia te kaha e hiahiatia ana i tētahi wā. Ki te hiki tika ake, me ārai tika te taumaha katoa o te pouaka, ā, me nui ake te kaha e hiahiatia ana.
4. He aha te hononga o te roa o te papa whakarara ki te kaha e hiahiatia ana hei neke i tētahi mea ki runga i te papa?
   • WhakautuKo te roa o te papa whakarara (mō te teitei pumau), ko te iti ake o te kaha e hiahiatia ana hei neke i tētahi mea ki runga i te papa. Heoi, me whakamahi te kaha ki tētahi tawhiti roa.
5. Mena ka whakaurua te waku ki runga i te papa hianga, he aha tana pānga ki te nekehanga o tētahi mea i runga?
   • WhakautuKa ārai te waku i te nekehanga o te mea. Mēnā kei te panaia ake tētahi mea i te papa whakarara, ka mahi te waku ki raro, ka whakanui ake i te kaha e hiahiatia ana hei neke i te mea. Mēnā kei te neke iho tētahi mea i te papa, ka whakaroa te waku i tōna hekenga.
6. He aha i whakamahia ai e ngā kaimahi ngā papa whakarara hei uta i ngā taonga taumaha ki runga i ngā taraka?
   • WhakautuMā te whakamahi i tētahi papa piki (rōnaki) ka taea e ngā kaimahi te whakamahi i tētahi kaha iti ake i runga i tētahi tawhiti roa hei uta i ngā taonga taumaha, ā, ka māmā ake te whakahaere i te mahi, ka iti ake hoki te uaua i te hiki poutū i ngā taonga.
7. He aha te hononga o te taumaha o tētahi mea ki tōna ia e paheke ana ki raro i tētahi papa hianga?
   • WhakautuKo te wāhanga o te taumaha o te mea e mahi whakarara ana ki te mata o te papa piko ka paheke. Ka taumaha ake te mea, ka nui ake tēnei wāhanga o te taumaha, ā, nō reira, ka nui ake te ia o te mea ki te paheke ki raro.
8. He aha te mahi a te kaha noa i runga i te papa piko?
   • WhakautuKa mahi poutū te kaha noa ki te mata o te papa whakarara. Koinei te kawenga mō te nui o te kaha waku i waenga i te mea me te papa, nā te mea he rite tonu te waku ki te kaha noa.
9. He aha i tika ai te whakatakoto i te onepu, i te kirikiri rānei ki runga i te papa whakarara i te wā e hukapapa ana?
   • WhakautuKa whakanuia e te onepu, te kirikiri rānei te kaha waku i waenga i te papa whakarara me ngā mea (pēnei i ngā hū, i ngā potae rānei) e pā ana ki a ia. Mā tēnei waku tāpiri ka ārai i te paheke i te wā hukapapa, mākū rānei.
10. Ki te hurihia te pōro ki runga i tētahi papa pīrori, kātahi ka hoki whakararo anō, ka eke rānei ki tōna tere taketake i te wā e hoki ai ki tōna pūwāhi tīmatanga, me te kore e aro ki te ātete hau me te waku?

• WhakautuĀe, i te korenga o te ātete hau me te waku, ka huri katoa te pūngao pūmanawa o te pōro i tōna wāhi teitei ki te pūngao nekeneke i a ia e heke ana, ka taea ai e ia te eke ki tōna tere taketake i te wā e hoki ai ki tōna wāhi tīmatanga nā te tiakitanga o te pūngao.