The shaded area shown in (Figure 1) is bounded by the line y = x m and the curve

ID: 1709940 • Letter: T

Question

The shaded area shown in (Figure 1) is bounded by the line y=xm and the curve y2=1.7xm2, where x is in m. Suppose that a = 1.7 m .

Part A

Determine the moment of inertia for the shaded area about the x axis.

Express your answer to three significant figures and include the appropriate units.

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Figure 1 of 1

The shaded area shown in (Figure 1) is bounded by the line y=xm and the curve y2=1.7xm2, where x is in m. Suppose that a = 1.7 m .

Part A

Determine the moment of inertia for the shaded area about the x axis.

Express your answer to three significant figures and include the appropriate units.

Ix =

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Incorrect; Try Again; 3 attempts remaining

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Figure 1 of 1

y y= a ,r a

moment of inertia of shaded area = moment of inertia of parabola - moment of inertia of trangla about x axis

parabola can be represented as

x= 1/1.7 y2 = a/b2 y2

then moment of inertia of parabola about x axis=2/15 b3a

here a= b= 1.7

moment of inertia of parabola= 2/15*1.73*1.7=1.1136 m4

moment of inertia of trangla about its base = bh3/12 = 1.7*1.73/12=0.6960 m4

moment of inertia of shaded region= 1.1136-0.6960=0.4176 m4

thanks

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