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1 一差動式帶制動器(differential band brake),如圖所示,其鼓輪半徑為150 mm,且以順時針方向旋轉;其槓桿的尺寸為A = 100 mm,B = 35 mm,L = 400 mm。若皮帶與鼓輪間的摩擦係數μ= 0.2,當作用力F 垂直作用於槓桿而將槓桿向下壓時,皮帶在鼓輪上之接觸角θ = 210°,則產生3000 N-mm 制動扭矩所需的F 約為多少N?(註:e0.733 = 2.08) 97 統測
A 1
B 2
C 3
D 4

F1F2= e μθ = e 0.2×3.14×210\360 = e 0.733 = 2.08 ...(1)

F1-F2 = Tr=3000/150 =20 ...(2)

解上二式得:F1 = 38.52N ,F2 = 18.52N

F×(L+A)+F1×B-F2×A=0

F×(400+100)+38.52×35-18.52×100=0

F = 1.01N