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:

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

Ukunyakaza kokugingqika - izinkinga nezixazululo 2

Ukuphakama kokuqala (h o ) = 0 amamitha

Ijubane lokuqala (v o ) = 10 m/s

Ijubane lokugcina (v t ) = 5 m/s

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

Ukunyakaza kokugingqika - izinkinga nezixazululo 3

Isilinda sifinyelela ukuphakama kwamamitha angu-7.5.

Ibanga elihanjwe ngesilinda:

Ukunyakaza kokugingqika - izinkinga nezixazululo 4

Ibanga elihanjwa yi-cylinder lingamamitha ayi- 12.5.

Impendulo eyiyo ngu-A.

Incazelo yesibalo:

o = isiqalo, t = okokugcina, ME = amandla omshini , PE = amandla angase abe khona, KE = amandla e-kinetic , m = isisindo , g = ukusheshisa ngenxa yamandla adonsela phansi, h = ukuphakama, v = ijubane eliqondile, ω = ijubane le-angular , I = umzuzu we-inertia, R = irediyasi yesilinda

2. Isilinda esiqinile (I = ½ m R 2 ) esinesisindo esingu-3 kg siyahamba siyogingqika ngaphandle kokushelela phezulu endizeni ethambekele emangelengeleni ene-elevation θ ene-sin θ = 0.6. Uma ukusheshisa kwamandla adonsela phansi g = 10 ms -2 kanye nejubane lokuqala lento lingu-10 m/s, khona-ke ubude bendiza ethambekele ehanjwe yinto bungu…

Kwaziwa:

Isikhathi sokungaphezi kwesilinda esiqinile (I) = ½ m R 2

Isisindo sesilinda = 3 kg

Ijubane lokuqala (v o ) = 10 m/s

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

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

Okufunwayo: Ubude 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 (h o ) = 0 amamitha

Ijubane lokuqala (v o ) = 10 m/s

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

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

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 ) ene-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 kanye nejubane lokuqala lingu-8 ms -1 khona-ke ubude bendiza ethambekele efinyelelwe yinto ngaphambi kokuba ime bungu…

Kwaziwa:

Isikhathi sokungabi namandla kwesilinda esiqinile (I) = m R 2

Ijubane lokuqala (v o ) = 8 m/s

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

I-engeli yokuphakama yendiza 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 (h o ) = 0 amamitha

Ijubane lokuqala (v o ) = 8 m/s

Ijubane lokugcina (v t ) = 0 m/s

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

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