Wedge Sample Problem The two 20kN blocks are pushed apart by the 15⁰ wedge of negligible weight. The angle of static friction is 120 on all contact surfaces. Determine the force P required to start the blocks moving. P 20KN 150150 20kN R

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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Wedge Sample Problem
. The two 20kN blocks are pushed apart by the 15⁰
wedge of negligible weight. The angle of static
friction is 12º on all contact surfaces. Determine
the force P required to start the blocks moving.
20kN
150150/
20KN
R₁
15⁰
12⁰
27⁰
15⁰ 15⁰
20KN
R₂
27⁰
R₁
ΣFy=
= 0 at wedge
2R₁ sin 27° P = 0
EFx = 0 at block
R₂ sin 12°-R₁ cos 27° = 0
ΣFy = = 0 at block
R₂ cos 12°
R₁ sin 27°
-20 = 0
R₁ = 5.22 kN
R₂ = 22.4 kN
P = 4.74 kN
Transcribed Image Text:Wedge Sample Problem . The two 20kN blocks are pushed apart by the 15⁰ wedge of negligible weight. The angle of static friction is 12º on all contact surfaces. Determine the force P required to start the blocks moving. 20kN 150150/ 20KN R₁ 15⁰ 12⁰ 27⁰ 15⁰ 15⁰ 20KN R₂ 27⁰ R₁ ΣFy= = 0 at wedge 2R₁ sin 27° P = 0 EFx = 0 at block R₂ sin 12°-R₁ cos 27° = 0 ΣFy = = 0 at block R₂ cos 12° R₁ sin 27° -20 = 0 R₁ = 5.22 kN R₂ = 22.4 kN P = 4.74 kN
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