A gate of size 2 m x 1 m can slide without friction. It is held in place by a thin cable which pulls it to the left due to buoyancy on a balloon of diameter D and of negligible weight. The gate just opens when the level of water is as shown in the figure below. Obtain D. Where should the cable be attached, so that the gate slides smoothly [i.e. without rotation] inside the channel? Balloon 3 m Cable Pulley- Gate 2 m x 1 m 2 m Water Channel
A gate of size 2 m x 1 m can slide without friction. It is held in place by a thin cable which pulls it to the left due to buoyancy on a balloon of diameter D and of negligible weight. The gate just opens when the level of water is as shown in the figure below. Obtain D. Where should the cable be attached, so that the gate slides smoothly [i.e. without rotation] inside the channel? Balloon 3 m Cable Pulley- Gate 2 m x 1 m 2 m Water Channel
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![A gate of size 2 m x 1 m can slide without friction. It is held in place by a thin cable which pulls it to
the left due to buoyancy on a balloon of diameter D and of negligible weight. The gate just opens
when the level of water is as shown in the figure below. Obtain D. Where should the cable be
attached, so that the gate slides smoothly [i.e. without rotation] inside the channel?
Balloon-
3 m
Cable
Pulley-
Gate 2 m x 1 m
2 m
Water
Channel](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab79771d-afcd-44b6-9537-63c0f0768c28%2F7467f403-c0f9-4bc0-9a59-f5b2476f6c13%2Fqg3bbwn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A gate of size 2 m x 1 m can slide without friction. It is held in place by a thin cable which pulls it to
the left due to buoyancy on a balloon of diameter D and of negligible weight. The gate just opens
when the level of water is as shown in the figure below. Obtain D. Where should the cable be
attached, so that the gate slides smoothly [i.e. without rotation] inside the channel?
Balloon-
3 m
Cable
Pulley-
Gate 2 m x 1 m
2 m
Water
Channel
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