Misali na Motsin Juyawa

Misalai 2 na Tambayoyin Motsi Masu Tafiya

1. Abu mai siffar silinda mai rami (I = mR)2) birgima ba tare da zamewa sama da wani jirgin sama mai karkata mai saurin farko na 10 m/s ba. Jirgin saman da ya karkata yana da kusurwar ɗagawa ta θ tare da tan θ = 0,75. Idan hanzarin saboda nauyi g = 10 m/s-2 kuma saurin abu yana raguwa zuwa 5 ms-1 to nisan da abin ya yi a kan jirgin sama mai karkata shine….
A. 12,5 m
B. 10 m
C. mita 7,5
D. 5 m
E. 2,5 m
Tattaunawa
An san cewa:
Lokacin inertia na silinda mai rami (I) = m R2
Kusurwar tsayin jirgin sama mai karkata = θ, inda tangent θ = 0,75 = 75/100 = gaba / ƙasa
Tattaunawa kan tambayoyin jarrabawar ƙasa ta SMA MA ta 2014 - Motsin juyawa - 4Sin θ = gaba / oblique = 75/125 = 3/5 = 0,6
Saurin gudu saboda nauyi (g) = 10 m/s2
Saurin farko (v)o) = 10 m/s
Saurin ƙarshe (v)t) = 5 m/s
An tambaya: Nisan da abin ya yi tafiya!
Amsa:
Lissafa tsayin da silinda ta kai ta amfani da dabarar dokar kiyaye makamashin inji:

Tattaunawa kan tambayoyin jarrabawar ƙasa ta SMA MA ta 2014 - Motsin juyawa - 1

Tsawon farko (h)o) = mita 0
Saurin farko (v)o) = 10 m/s
Saurin ƙarshe (v)t) = 5 m/s
Saurin gudu saboda nauyi (g) = 10 m/s2

Tattaunawa kan tambayoyin jarrabawar ƙasa ta SMA MA ta 2014 - Motsin juyawa - 2Silinda tana hawa zuwa tsayin mita 7,5. Nisan da silinda ke tafiya shine:

Tattaunawa kan tambayoyin jarrabawar ƙasa ta SMA MA ta 2014 - Motsin juyawa - 3

Nisa da silinda ta yi tafiya ita ce mita 12,5.
Amsar da ta dace ita ce A.

Bayanin dabara:
o = na farko, t = na ƙarshe, EM = makamashin injiniya, EP = makamashi mai yuwuwa, EK = kuzarin motsi, m = taro, g = hanzari saboda nauyi, h = tsayi, v = saurin layi, ω = saurin kusurwa, I = lokacin inertia, R = radius na silinda

2. Silinda mai ƙarfi (I = ½ mR)2) tare da nauyin kilogiram 3 yana birgima ba tare da zamewa sama da wani jirgin sama mai karkata wanda ke da kusurwar ɗagawa ta θ tare da sin θ = 0,6. Idan hanzarin saboda nauyi g = 10 m/s-2 kuma saurin farko na abu shine 10 m/s, to tsawon hanyar da abin ya karkata kafin ya tsaya shine....
A. mita 9,5
B. mita 10,5
C. mita 11,5
D. mita 12,5
E. mita 13,5
Tattaunawa
An san cewa:
Lokacin inertia na silinda mai ƙarfi (I) = ½ m R2
Tattaunawa kan Tambayoyin Nazarin Lissafi na Jarrabawar Ƙasa ta 2014 ga Manyan Makarantun Sakandare - Motsin Juyawa - 8 Tattaunawa kan Tambayoyin Nazarin Lissafi na Jarrabawar Ƙasa ta 2014 ga Manyan Makarantun Sakandare - Motsin Juyawa - 8Nauyin silinda = 3 kg
Saurin farko (v)o) = 10 m/s
Saurin ƙarshe (v)t) = 0 m/s (tashoshin abu)
Kusurwar ɗagawa ta sama mai karkata (θ) = θ, inda sin θ = 0,6 = 6/10 = gaba/slant
Saurin gudu saboda nauyi (g) = 10 m/s2
An tambaya: Tsawon hanyar da wani abu ya yi tafiya kafin ya tsaya!
Amsa:
Lissafa tsayin da silinda ta kai ta amfani da dabarar dokar kiyaye makamashin inji:

Tattaunawa kan tambayoyin jarrabawar ƙasa ta SMA MA ta 2014 - Motsin juyawa - 5

Tsawon farko (h)o) = mita 0
Saurin farko (v)o) = 10 m/s
Saurin ƙarshe (v)t) = 0 m/s (tashoshin abu)
Saurin gudu saboda nauyi (g) = 10 m/s2

Tattaunawa kan tambayoyin jarrabawar ƙasa ta SMA MA ta 2014 - Motsin juyawa - 6

Silinda tana hawa zuwa tsayin mita 7,5.

Nisa da silinda ta yi:

Tattaunawa kan tambayoyin jarrabawar ƙasa ta SMA MA ta 2014 - Motsin juyawa - 7

Nisa da silinda ta yi tafiya ita ce mita 12,5.
Amsar da ta dace ita ce D.

Tushen tambaya:

Tambayoyin Nazarin Fizik na Ƙasa ga Makarantar Sakandare ta Babbar Sakandare/Makarantar Sakandare ta Sana'a

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