Ukunyakaza okugoqayo - izinkinga nezixazululo

1. Into eyisilinda engenalutho (I = m R 2 ) iyahamba iyogingqika ngaphandle kokushelela phezulu endizeni ethambekele emangelengeleni ngesivinini sokuqala esingu-10 m/s. Indizeni ethambekele ine-engeli yokuphakama engu-θ ene-tan θ = 0.75. Uma ukusheshisa okudonsela phansi okungu-g = 10 ms -2 , ijubane lento lincishiswa libe ngu-5 ms -1 khona-ke ibanga endizeni ethambekele lento lingu…

Kwaziwa:

Isikhathi sokungahlali kahle kwesilinda esingenalutho (I) = m R 2

I-engeli yokuphakama = θ , lapho i-tan θ = 0.75 = 75/100 = opp / adj

Isono θ = opp / hyp = 75/125 = 3/5 = 0.6

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s 2

Ijubane lokuqala (v o ) = 10 m/s

Ijubane lokugcina (v t ) = 5 m/s

Kufunwa: ibanga Ukunyakaza kokugingqika - izinkinga nezixazululo 1

Isixazululo:

Cbala ukuphakama okufinyelelwe yi-cylinder usebenzisa i-equation ye- ukulondolozwa kwamandla okusebenza ngomshini.

Ukunyakaza kokugingqika - izinkinga nezixazululo 2

Ukuphakama kokuqala (ho) = 0 amamitha

Ijubane lokuqala (v)o) = 10 m/s

Ijubane lokugcina (v)t) = 5 m/s

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s2

Ukunyakaza kokugingqika - izinkinga nezixazululo 3

Isilinda sifinyelela ukuphakama kwamamitha angu-7.5.

Ibanga elihanjwe ngesilinda:

Ukunyakaza kokugingqika - izinkinga nezixazululo 4

Ibanga elihanjwa yi-cylinder liyi 12.5 amamitha.

Impendulo eyiyo ngu-A.

Incazelo yesibalo:

o = isiqalo, t = okokugcina, ME = amandla emishini, I-PE = amandla angase abe khona, i-KE = amandla kinetic, m = Mass, g = ukusheshisa ngenxa yamandla adonsela phansi, h = ukuphakama, v = ijubane eliqondile, ω = velocity angular, I = umzuzu wokungakhathali, R = irediyasi yesilinda

2. Isilinda esiqinile (I = ½ m R2) enesisindo esingama-3 kg iyahamba iyogingqa ngaphandle kokushelela phezulu indiza ethambekele emangelengeleni ene-elevation θ ene-sin θ = 0.6. Uma ukusheshisa kwamandla adonsela phansi g = 10 ms-2 futhi ijubane lokuqala lento lingu-10 m/s, bese ubude bendiza ethambekele ehanjwe yinto bungu…

Kwaziwa:

Isikhathi sokungabi namandla kwesilinda esiqinile (I) = ½ m R2

Isisindo sesilinda = 3 kg

Ijubane lokuqala (v o ) = 10 m/s

Ijubane lokugcina (v)t) = 0 m/s (ukuyeka kwezinto)

I-engeli yokuphakama (θ) = θ, lapho isono θ = 0.6 = 6/10 = opp/hyp

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s2Ukunyakaza kokugingqika - izinkinga nezixazululo 5

Kufunwa: Tubude bendiza ethambekele ehanjwe yinto

Isixazululo:

Bala ukuphakama okufinyelelwe yi-cylinder usebenzisa i-equation yokonga amandla omshini.

Ukunyakaza kokugingqika - izinkinga nezixazululo 6

Ukunyakaza kokugingqika - izinkinga nezixazululo 7

Ukuphakama kokuqala (ho) = 0 amamitha

Ijubane lokuqala (v)o) = 10 m/s

Ijubane lokugcina (v)t) = 0 m/s (ukuyeka kwezinto)

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s2

Ukunyakaza kokugingqika - izinkinga nezixazululo 8

Isilinda sifinyelela ukuphakama kwamamitha angu-7.5.

Ibanga elihanjwe ngesilinda:

Ukunyakaza kokugingqika - izinkinga nezixazululo 9

Ibanga elihanjwa yi-cylinder lingamamitha ayi-12.5.

3. Into eyisilinda engenalutho (I = m R2) nge-radius R, iyahamba iyogingqika ngaphandle kokushelela phezulu endizeni ethambekele emangelengeleni ene-engeli ka-α lapho i-sin α = 0.8. Uma ukusheshisa kwamandla adonsela phansi g = 10 ms-2 futhi ijubane lokuqala lingu-8 ms-1 bese ubude bendawo ethambekele efinyelelwe yinto ngaphambi kokuba ime bungu…

Kwaziwa:

Isikhathi sokungabi namandla kwesilinda esiqinile (I) = m R2

Ijubane lokuqala (v o ) = 8 m/s

Ijubane lokugcina (v)t) = 0 m/s (ukuyeka kwezinto)

I-engeli yokuphakama kwendiza ethambekele (θ) = θ, lapho isono θ = 0.8

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s 2

Kufunwa: Ibanga elihanjwe ngesilinda

Isixazululo:

Bala ukuphakama okufinyelelwe yi-cylinder usebenzisa i-equation yokonga amandla omshini.

Ukunyakaza kokugingqika - izinkinga nezixazululo 10

Ukunyakaza kokugingqika - izinkinga nezixazululo 11

Ukuphakama kokuqala (ho) = 0 amamitha

Ijubane lokuqala (v)o) = 8 m/s

Ijubane lokugcina (v)t) = 0 m/s

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s2

Ukunyakaza kokugingqika - izinkinga nezixazululo 12

Isilinda sifinyelela ukuphakama kwamamitha angu-6.4.

Ibanga elihanjwe ngesilinda:

Ukunyakaza kokugingqika - izinkinga nezixazululo 13

Ibanga elihanjwa yi-cylinder lingamamitha ayi-8.

Shiya amazwana