Given here is a pulley arrangement, in which each pulley is free to rotate and has negligible mass. a. Find the tension T require to support a 1000 lb load b. Find the magnitude of the force on the bearing of pully C. 41 A .T e= 30° |1000 1b| B || .T = 250lb e=30° T4 = 250Ib X £M, = 0 £Fx = 0 £F, = 0 Tar – Tr = 0 250lb – T = 0 T = 250 lb 250 cos 30° · - = 217lb Fy, + 250 sin 30° - 250= 0 Fy F = /2172 + 1252 F = F+F Fx = 0 F25016 = 125lb

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Given here is a pulley
arrangement, in which each
pulley is free to rotate and has
negligible mass.
a. Find the tension T require to
support a 1000 lb load
b. Find the magnitude of the
force on the bearing of pully
C.
T
0 = 30°
you
1000 lb
=
T = 250lb
0 = 30°
y
T₁ = 250lb
X
ΣΜo = 0
ΣFx = 0
ΣFy = 0
F =
Tar-Tr=0
250lb T=0
T = 250 lb
250 cos 30° - Fx =
Fy + 250 sin 30° - 250= 0
Fy = 125lb
F2 + F2
y
F =
0
Fx = 217lb
F = 250lb
217² + 125²
Transcribed Image Text:Given here is a pulley arrangement, in which each pulley is free to rotate and has negligible mass. a. Find the tension T require to support a 1000 lb load b. Find the magnitude of the force on the bearing of pully C. T 0 = 30° you 1000 lb = T = 250lb 0 = 30° y T₁ = 250lb X ΣΜo = 0 ΣFx = 0 ΣFy = 0 F = Tar-Tr=0 250lb T=0 T = 250 lb 250 cos 30° - Fx = Fy + 250 sin 30° - 250= 0 Fy = 125lb F2 + F2 y F = 0 Fx = 217lb F = 250lb 217² + 125²
Given here is a pulley
arrangement, in which each
pulley is free to rotate and has
negligible mass.
a. Find the tension T require to
support a 1000 lb load
b. Find the magnitude of the
force on the bearing of pully
C.
De
1000 lb
T
0 = 30°
y
x
T₁
T3
1000 lb
B
T = 250lb
0 = 30°
T₁ = 250lb
T₂ = 500lb
X
1
Parallel Force System
ΣΜo = 0
T₁r - T₂r : 0
=
T₁
= T2₂
(a)
ΣFy = 0 T + T2 – 1000 = 0 (b)
Solving (a) and (b)
=
T₁ = T₂
500lb
Solve pulley at B by inspection
T3 = T4 = 250lb
T = T₁ = 250lb
Transcribed Image Text:Given here is a pulley arrangement, in which each pulley is free to rotate and has negligible mass. a. Find the tension T require to support a 1000 lb load b. Find the magnitude of the force on the bearing of pully C. De 1000 lb T 0 = 30° y x T₁ T3 1000 lb B T = 250lb 0 = 30° T₁ = 250lb T₂ = 500lb X 1 Parallel Force System ΣΜo = 0 T₁r - T₂r : 0 = T₁ = T2₂ (a) ΣFy = 0 T + T2 – 1000 = 0 (b) Solving (a) and (b) = T₁ = T₂ 500lb Solve pulley at B by inspection T3 = T4 = 250lb T = T₁ = 250lb
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