1. Wani abu mai siffar silinda mai zurfi (I = m R 2 ) yana motsawa don birgima ba tare da zamewa sama da wani jirgin sama mai karkata mai saurin farko na 10 m/s ba. Jirgin saman da aka karkata yana da kusurwar ɗagawa θ tare da tan θ = 0.75. Idan hanzarin nauyi g = 10 ms -2 , saurin abu ya ragu zuwa 5 ms -1 to nisan da ke kan jirgin saman da aka karkata na abu shine…
An sani:
Lokacin inertia na silinda mai rami (I) = m R 2
Girman girma = θ , inda tan θ = 0.75 = 75/100 = opp / adj
Sin θ = opp / hyp = 75/125 = 3/5 = 0.6
Saurin gudu saboda nauyi (g) = 10 m/s 2
Saurin farko (v o ) = 10 m/s
Saurin ƙarshe (v t ) = 5 m/s
Ana so: distance 
Magani:
Lissafa tsayin da silinda ta kai ta amfani da lissafin kiyaye makamashin inji.
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/s 2
Silinda tana kaiwa tsayin mita 7.5.
Nisa da silinda ta yi tafiya:
Nisa da silinda ta yi tafiya ita ce mita 12.5.
Amsar da ta dace ita ce A.
Bayanin lissafin:
o = na farko, t = na ƙarshe, ME = makamashin inji , PE = kuzarin yuwuwa, KE = 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 m R 2 ) mai nauyin kilogiram 3 yana motsawa don birgima ba tare da zamewa sama da wani jirgin sama mai karkata mai kusurwar tsayi θ tare da sin θ = 0.6 ba. Idan saurin nauyi g = 10 ms -2 kuma saurin farko na abu shine 10 m/s, to tsawon jirgin sama mai karkata da wani abu ya yi tafiya shine…
An sani:
Lokacin inertia na silinda mai ƙarfi (I) = ½ m R 2
Nauyin silinda = 3 kg
Saurin farko (v o ) = 10 m/s
Gudu na ƙarshe (v t ) = 0 m/s (tashoshin abu)
Girman girma ( θ ) = θ , inda zunubi θ = 0.6 = 6/10 = opp/hyp
Saurin gudu saboda nauyi (g) = 10 m/s2
Ana so: Tsawon jirgin sama mai karkata da aka yi tafiya da shi ta hanyar abu
Magani:
Lissafa tsayin da silinda ta kai ta amfani da lissafin kiyaye makamashin inji.
Tsawon farko (h o ) = mita 0
Saurin farko (v o ) = 10 m/s
Gudu na ƙarshe (v t ) = 0 m/s (tashoshin abu)
Saurin gudu saboda nauyi (g) = 10 m/s 2
Silinda tana kaiwa tsayin mita 7.5.
Nisa da silinda ta yi tafiya:
Nisa da silinda ta yi tafiya ita ce mita 12.5.
3. Wani abu mai siffar silinda mai zurfi (I = m R 2 ) tare da radius R, yana motsawa don birgima ba tare da zamewa sama da wani jirgin sama mai karkata mai kusurwar α inda sin α = 0.8 ba. Idan saurin nauyi g = 10 ms -2 kuma saurin farko shine 8 ms -1 to tsawon jirgin sama mai karkata da abin ya isa kafin ya tsaya shine…
An sani:
Lokacin inertia na silinda mai ƙarfi (I) = m R 2
Saurin farko (v o ) = 8 m/s
Gudu na ƙarshe (v t ) = 0 m/s (tashoshin abu)
Girman kusurwar jirgin sama mai karkata ( θ ) = θ , inda zunubi θ = 0.8
Saurin gudu saboda nauyi (g) = 10 m/s 2
Ana nema: Nisa da silinda ta yi tafiya
Magani:
Lissafa tsayin da silinda ta kai ta amfani da lissafin kiyaye makamashin inji.
Tsawon farko (h o ) = mita 0
Saurin farko (v o ) = 8 m/s
Saurin ƙarshe (v t ) = 0 m/s
Saurin gudu saboda nauyi (g) = 10 m/s 2
Silinda tana kaiwa tsayin mita 6.4.
Nisa da silinda ta yi tafiya:
Nisa da silinda ta yi tafiya ita ce mita 8.
