For aesthetic reasons, chains are sometimes used instead of downspouts on small buildings in order to direct roof runoff water from the gutter down to ground level. The architect of the illustrated build- ing specified a 6-m vertical chain from A to B, but the builder decided to use a 6.1-m chain from A to C as shown in order to place the water farther from the structure. By what percentage n did the builder increase the magnitude of the force exerted on the gutter at A over that figured by the archi- tect? The chain weighs 100 N per meter of its length.

For aesthetic reasons, chains are sometimes used instead of downspouts on small buildings in order to direct roof runoff water from the gutter down to ground level. The architect of the illustrated build- ing specified a 6-m vertical chain from A to B, but the builder decided to use a 6.1-m chain from A to C as shown in order to place the water farther from the structure. By what percentage n did the builder increase the magnitude of the force exerted on the gutter at A over that figured by the archi- tect? The chain weighs 100 N per meter of its length.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

For aesthetic reasons, chains are sometimes used
instead of downspouts on small buildings in order
to direct roof runoff water from the gutter down to
ground level. The architect of the illustrated build-
ing specified a 6-m vertical chain from A to B, but
the builder decided to use a 6.1-m chain from A to C
as shown in order to place the water farther from
the structure. By what percentage n did the
builder increase the magnitude of the force exerted
on the gutter at A over that figured by the archi-
tect? The chain weighs 100 N per meter of its
length.
6 m
B
1 m

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