Problem 2 Appliance Design When we design an appliance, one of the concerns is how hard the appliance will be to tip over. When tipped, it will right itself as long as its center of mass lies on the correct side of the fulcrum, the point on which the appliance is riding as it tips. Suppose that the profile of an appliance of approximately constant density is parabolic, like an old-fashioned radio. It fills the region (0< ys all-x), -1sxs1, in the xy-plane (see accompanying figure). What values of a will guarantee that the appliance will have to be tipped more than 45° to fall over. y a(1-x2) C.m.. c.m. Fulcrum
Problem 2 Appliance Design When we design an appliance, one of the concerns is how hard the appliance will be to tip over. When tipped, it will right itself as long as its center of mass lies on the correct side of the fulcrum, the point on which the appliance is riding as it tips. Suppose that the profile of an appliance of approximately constant density is parabolic, like an old-fashioned radio. It fills the region (0< ys all-x), -1sxs1, in the xy-plane (see accompanying figure). What values of a will guarantee that the appliance will have to be tipped more than 45° to fall over. y a(1-x2) C.m.. c.m. Fulcrum
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Problem 2 Appliance Design When we design an appliance, one of the concerns is how hard the
appliance will be to tip over. When tipped, it will right itself as long as its center of mass lies on
the correct side of the fulcrum, the point on which the appliance is riding as it tips. Suppose that
the profile of an appliance of approximately constant density is parabolic, like an old-fashioned
radio. It fills the region 0< ys all-x), -1<xs1, in the xy-plane (see accompanying figure).
What values of a will guarantee that the appliance will have to be tipped more than 45° to fall
over.
a
y = a(1 – x2).
C.m..
c.m.
Fulcrum
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