小馮馮 asked in 科學其他:科學 · 1 decade ago

一題物理的問題(共點力系)

題目:

If each wire can sustain a maximum twnsion of 600N

before it fails, determine the great est weight of the

chandelier the wires will support in the position shown.

假設A是原點(0,0,0)燈在原點正下方(Z軸)

有3條電線從B/C/D點連接到A

B(-0.212,0.212,0.72)

C(0.3,0,0.72)

D(0,-0.3,0.72)

Update:

題目的意思應該是說每條繩子最多可以承受600N

照題目給的條件算的話

燈的最大重量

沒人會嗎@@"

1 Answer

Rating
  • En-Zen
    Lv 7
    1 decade ago
    Favorite Answer

    只考慮Z方向的力量:

    Tb=Tc=Tc

    Tbz =T* Cosθb

    Θb= tan‾((X Y)↑)/Z)…………(1)

    Tcz = T * Cosθc

    Θc tan‾((X Y)↑)/Z)…………(2)

    Tdz =T* Cosθd

    Θd= tan‾((X Y)↑)/Z)…………(3)

    Load=Tbz Tcz Tdz …………………………(4)

    解(1)(2)(3)(4) Load= 2.77T =1662 N

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