LEMBAR
KERJA SISWA
BAB
1. KESEIMBANGAN DAN DINAMIKA ROTASI
NAMA :.............................................
KELAS :
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Kerjakan soal-soal di
bawah ini dengan benar!!!
1.
Sebuah roda dengan garis tengah 540 mm sedang berputar
pada 1500/p rpm (rotasi per menit) hitunglah :
(a) kecepatan
sudut roda ( dlm rad/s) dan
(b) kecepatan
linier sebuah titik pada tepi roda (dlm m/s).
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2. Sebuah
partikel P bergerak dalam suatu bidang pada waktu t, vektor radius OP telah
berputar melalui sudut q rad, dimana q = 5t
– t2 , t dalam sekon. Hitunglah
:
a.
kecepatan sudut pada saat t.
b.
kapan kecepatan sudut bernilai nol?
c.
Tunjukkan bahwa percepatan sudut partikel adalah tetap.
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3.
Sebuah roda berputar dengan poros sumbu z dengan
percepatan sudutnya dinyatakan oleh a = (1,86
rad / s2)t, dengan t dalam sekon tentukan
a.
kecepatan
sudut pada t = 2s, jika kecepatan sudut awal adalah –2,9 rad/s
b.
sudut yang ditempuh roda setelah berputar selama 2,0 s.
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4.
Kecepatan putar sebuah poros bertambah secara tetap dari
1 rad/s menjadi 5 rad/s dalam waktu 0,8 s. jika diameter poros adalah 80 mm,
tentukan percepatan total yang dialami poros.
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5.
Poros sebuah motor listrik yang mula-mula diam mengalami
percepatan tetap 15 rad /s2 selama 0,4 s. tentukan sudut yang ditempuh poros
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6.
Sebuah roda dipercepat secara tetap 2 rad/s2
sampai berputar pada kecepatan1500/p
rpm. Jika roda menempuh 25/p putaran
selama waktu dipercepat tersebut, tentukan kecepatan sudut awal ( dalam rad/s)
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7.
Diketahui momen gaya t suatu
benda adalah 20 Nm, dan gaya yang digunakan adalah 5 N jika gaya tersebut tegak
lurus terhadap lengan, maka berapakah besar lengan momen gaya tersebut?
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8.
pada empat persegi panjang berukuran 8 m x 6 m bekerja gaya – gaya F1 sampai F6 seperti pada
gambar, Tentukan momen yang dihasilkan tiap gaya berikut momen totalnya
terhadap poros melalui titik O dan titik A
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9. Sebuah
gaya F = (120)i + (180)j dikerjakan pada suatu benda pada
suatu titik yang memiliki vektor kedudukan r = (3m)i – (2m)j
terhadap acuan O. hitunglah momen yang dikerjakan gaya ini terhadap O.
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10.
Sebuah
gaya F = (120 N)i + (150 N)j – (100 N)k dikerjakan
pada suatu benda pada suatu titik yang memiliki vektor r = (1,4)i
+ (2,1) j terhadap acuan O.
hitunglah momen yang dikerjakan gaya
ini terhadap O.
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11.
Sebuah
roda mula-mula dalam keadaan diam setelah berputar selama 10 s, kecepatan
angulernya menjadi 8 rad/s maka percepatan yang dialaminya adalah
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12.
Sebuah piringan memiliki jari-jari 10 cm. Roda tersebut berotasi dengan kecepatan
anguler 20 rad/s. tentukan kecepetan linier dari
a.
sebuah titik yang berada pada pinggir piringan
b.
sebuah titik yang berada 5 cm dari pusat piringan
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