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The stress experienced by a wire of diameter y/π m loaded by a weight y²N is?
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Mar 3, 2025
JAMB 2024 PAST QUESTION The stress experienced by a wire of diameter y/π m loaded by a weight y²N is?
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0:00
this is a j question
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2024 the stress experienced by a w of
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diameter y y 5 m loaded by a
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weight y square and
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is first of all the
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stress experienced by a wire of
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diameter y/ 5 m therefore our diameter
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is y diameter d
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isal
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y y
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m loaded by a weight of y s Newton our
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weight is our Force which is equal
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to
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uh
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y² Newton in Newton
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so this is what is given to
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us what is the stress we have to find
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the stress so to find the stress because
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stress experienced by a wire of
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diameter y 5 loaded by a weight y s and
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is therefore we to find stress and to
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find stress we know that stress isal to
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force over area which is equals to which
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implies that stress isal
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force
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areal
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[Music]
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r² so since we are to deal with r which
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is the radius therefore we need to break
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down the diameter into two because the
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diameter isal 2 R therefore this implies
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that R which is the radius is equal to D
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/ 2 which is equals to and what we have
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here is 5 therefore it's y/
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5 * 1 / 2 which is equals
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to
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y/ 2
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5 and this is our
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radius as you can
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see this is our
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radius and this is our first so now to
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find the stress we will say stress isal
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to force over area where force r² and
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force here is y s and therefore we say
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y² in Newton therefore we don't need to
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write it because is the unit when we
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finish you can write the unit all
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over what would we have as
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a pi r
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then r instead of R write y/
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2 then y
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over
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2 all squared which is squared and this
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is going to give
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us s
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=
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y² all over
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5 all over 5
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here is s therefore we
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have Y
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2 all
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over 2 S = 4 and 5 5² is
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s therefore we can now say that this is
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the same thing as Y 2 all 5 * Y 2 this
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is 5
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y² all over
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4 I
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2 all of this this one over this one
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therefore mathematically we know that s
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isal to if we are to write this this is
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the same as y s this y s and this one
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now we go off we say
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over 5
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y²
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5 y I 2 then
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times * 4
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5² 4 Y
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2 5 this Square will cancel one of this
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P because it's like you have 5^
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2 5 which is going to give you means
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that this one will canc
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this us with
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y s will cancel y s therefore our stress
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here isal
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to this over this this is 1/ 1 which is
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1 * 45 therefore is 4 5 which is
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45
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Newton
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me
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squ and this is our fin answer which is
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the Str
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can see this is what we have therefore
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you select the option that says s or
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stress isal to 4 new per M squ as the
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answer
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