WEBVTT
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we have a question in which it is given that
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the linear density of Arad of length. The length
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of the rod is four metre and linear density.
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Little X. Is being given as nine plus 200
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tax measuring kilograms per meter. So this is in
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kilograms per meter X in meters from one another rod
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. Okay, find the total mass of the rod
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. So if this is the Lord for up to
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X. This is a linear features, density.
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We know that linear channels then stage always must buy
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what we say must buy. Okay, X.
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Which is equal to nine plus 200 X. Okay
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, so D. M will be nine place 200
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X in two D. X. Now we need
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to find the length of the door and the total
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mass of the length. So if we need we
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will be integrating it to get the to get that
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total mass. So if length is zero. So
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mass will be zero. If length is totally four
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m. So mass will be equal to total mass
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capital. And we should Right, okay, so
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this is mm equal to nine X plus two X
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. Raised to the power one by two plus one
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by one by two plus one. 0 to 4
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. Okay, nine X plus two X rays.
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To the power three by two, divide by three
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by two from 0 to 4. So this is
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nine x. place four by three X. Raised
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to the power three by two From 0-4. Now
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, if you plug in four Will be a parliament
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which is four. So 36 plus four x 3
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and four raised to the power three x 2.
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So this is eight And zero will be zero everywhere
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. There is term containing acts 36. PL 32
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by three. Okay. 108 miles 32 By three
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. That is 76 x three. So total mass
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of that Rod will be 76 x three. Katie
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, which will approximately be 26 5.33. Katie.
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Thank you.