The bent pipe ABCD lies in the ry-plane and bends through 90° at C and supports a hanging weight W at D. The vertical pipe fits through a smooth circular hole at A and it is supported at B by a roller that lies in the yz-plane. Cable DE is fastened to the pin at D and is fixed at the point E in the yz-plane. W = 22 kN and the following distances and angles are known: • Part AB has a length 4.5 m. Part BC has length 2.5 m. Part CD has length 4 m. • The angle between line segments EP and PD is 90°. • The angle between EP and the cable is 34°. • The angle between part CD and DP is 30°. Note: Figure is not to scale E A C W= 22 kN

Elements Of Electromagnetics
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The bent pipe ABCD lies in the ry-plane and bends through 90° at C and supports a hanging weight W at D. The vertical pipe
fits through a smooth circular hole at A and it is supported at B by a roller that lies in the yz-plane. Cable DE is fastened to the pin at D and is fixed at
the point E in the yz-plane.
W = 22 kN and the following distances and angles are known:
Part AB has a length 4.5 m.
Part BC' has length 2.5 m.
Part CD has length 4 m.
• The angle between line segments EP and PD is 90°.
• The angle between EP and the cable is 34°.
The angle between part CD and DP is 30°.
Note: Figure is not to scale
E
B
D
W= 22 kN
Transcribed Image Text:The bent pipe ABCD lies in the ry-plane and bends through 90° at C and supports a hanging weight W at D. The vertical pipe fits through a smooth circular hole at A and it is supported at B by a roller that lies in the yz-plane. Cable DE is fastened to the pin at D and is fixed at the point E in the yz-plane. W = 22 kN and the following distances and angles are known: Part AB has a length 4.5 m. Part BC' has length 2.5 m. Part CD has length 4 m. • The angle between line segments EP and PD is 90°. • The angle between EP and the cable is 34°. The angle between part CD and DP is 30°. Note: Figure is not to scale E B D W= 22 kN
(c)
Denote the general form of the reaction of the vertical pipe at A on point A of the bent pipe by FA
(Azi+ Ayj+ A,F) and
MA = (MAzi + MAyj+ MAzk).
Denote the general form of the reacion of roller at Bon point Bof the bent pipe, by FB = (Bri+Buj+B,k) and
MB = (MBai+ MBj+ MBk).
Due to the nature of the support, some of the scalars Ag, Ay, Az, Bz, By, Bz, MAz, M Ay, MAz, MBz, M By, MBz are zero.
Select the scalars that are zero at A:
O Az
O Ay
O Az
O MAz
O MAy
O MAz
Select the scalars that are zero at B:
O Bz
O By
O Bz
O MBz
O MBy
O MBz
Incorrectly selected options will be marked negatively. The minimum mark for this question is 0.
(d)
Determine the tension T that develops in the rope.
T =
kN
Transcribed Image Text:(c) Denote the general form of the reaction of the vertical pipe at A on point A of the bent pipe by FA (Azi+ Ayj+ A,F) and MA = (MAzi + MAyj+ MAzk). Denote the general form of the reacion of roller at Bon point Bof the bent pipe, by FB = (Bri+Buj+B,k) and MB = (MBai+ MBj+ MBk). Due to the nature of the support, some of the scalars Ag, Ay, Az, Bz, By, Bz, MAz, M Ay, MAz, MBz, M By, MBz are zero. Select the scalars that are zero at A: O Az O Ay O Az O MAz O MAy O MAz Select the scalars that are zero at B: O Bz O By O Bz O MBz O MBy O MBz Incorrectly selected options will be marked negatively. The minimum mark for this question is 0. (d) Determine the tension T that develops in the rope. T = kN
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