Question

Materi ttg Titik berat/Pusat massa.
Tolong jawab lengkap sama caranya ya! Poinnya saya kasi bnyk, dan yg bisa jwb sy kasi jwb terbaik.

Answer 1

Jawaban:

1. x = 35,8 cm

2. (x,y) = ( 40 , 12 ) cm

3. (x,y) = ( 8 , 9 ) cm

4. (x,y) = ( 9,33 , 5,33 )  cm

5. (x,y) = ( 20,56 , 28,89 )  cm

Penjelasan:

1.

x = (ma . xa + mb. xb + mc.xc +md. xd)/(ma+mb+mc+md)

x = ( 100. 0 +200. 10 +400. 40 +500. 50 ) / ( 100+200+400+500)

x = 43000/ 1200 = 35,8 cm

2.

x = ( l1. x1 + l2. x2 + l3.x3 + l4.x4 + l5.x5 + l6.x6 ) / ( l1+l2+l3+l4+l5+l6 )

x = ( 20. 20+20. 60+80. 40+20. 0+40. 40+20. 80 ) / ( 20+20+80+20+40+20 )

x = 8000/200 = 40 cm

y = ( l1. y1 + l2. y2 + l3.y3 + l4.y4 + l5.y5 + l6.y6 ) / ( l1+l2+l3+l4+l5+l6 )

y = ( 20. 10+20. 10+80. 20+20. 30+40. 40+20. 30 ) / ( 20+20+80+20+40+20 )

y = 4800/200 = 12 cm

(x,y) = ( 40 , 12 ) cm

3.

x = (A1.x1 + A2.x2) /(A1+A2)

x = ( 8. 18. 4 + 12. 8. [6+8] ) / ( 144+ 96 )

x = 1920/240 = 8 cm

y = (A1.y1 + A2.y2) /(A1+A2)

y = ( 8. 18. 9 + 12. 8. 9 ) / ( 144+ 96 )

y = ( 9. 240 )/240 = 9 cm

(x,y) = ( 8 , 9 ) cm

4. Titik berat segitiga ada di 1/3 tinggi = 4 cm

x = (A1.x1 + A2.x2) /(A1+A2)

x = ( 12. 12. 6 + 1/2. 12. 12. [12+4] ) / ( 144+ 72 )

x = 2016/216 = 9,33 cm

y = (A1.y1 + A2.y2) /(A1+A2)

y = ( 12. 12. 6 + 1/2. 12. 12. 4 ) / ( 144+ 72 )

y = 1152/216 = 5,33 cm

(x,y) = ( 9,33 , 5,33 )  cm

5.

x = (A1.x1 + A2.x2 + A3.x3) /(A1+A2)

x = ( 20. 50. 10 + 30. 20. 35 + 20. 10. 30 ) / ( 1000+ 600+ 200 )

x = 37000/1800

x = 20,56 cm

y = (A1.y1 + A2.y2) /(A1+A2)

y = ( 20. 50. 25 + 30. 20. 40 + 20. 10. 15 ) / ( 1000+ 600+ 200 )

y = 52000/1800 = 28,89 cm

(x,y) = ( 20,56 , 28,89 )  cm

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