Question

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$\longrightarrow\mathrm{A(4,0) \: and \: B(0,4) \: are \: two \: points \: on \: the \: circle$
(x-4)² + (y-4)² = 16

Then Find locus of →

i ) Centroid of ∆APB

ii ) Orthocenter of ∆APB


​

Answer 1

Answer:

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Prehistoric humans used mass panic as a technique when hunting animals, especially ruminants. Herds reacting to unusually strong sounds or unfamiliar visual effects were directed towards cliffs, where they eventually jumped to their deaths when cornered.

Humans are also vulnerable to panic and it is often considered infectious, in the sense one person's panic may easily spread to other people nearby and soon the entire group acts irrationally, but people also have the ability to prevent and/or control their own and others' panic by disciplined thinking or training (such as disaster drills).

Architects and city planners try to accommodate for the symptoms of panic, such as herd behavior, during design and planning, often using simulations to determine the best way to lead people to a safe exit and prevent congestion (stampedes). The most effective methods are often non-intuitive. A tall column or columns, placed in front of the door exit at a precisely calculated distance, may speed up the evacuation of a large room, as the obstacle divides the congestion well ahead of the choke point.

Many highly publicized cases of deadly panic occurred during massive public events. The layout of Mecca was extensively redesigned by Saudi authorities in an attempt to eliminate frequent stampedes, which kill an average of 250 pilgrims every year. Football stadiums have seen deadly crowd rushes and stampedes, such as at Heysel stadium in Belgium in 1985 with more than 600 casualties, including 39 deaths, and at Hillsborough stadium in Sheffield, England, in 1989 when 96 people were killed in a crush.

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Answer 2

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Centroid of circular section lies at its center i.e., D/2

Say, we have a circle of about 20cm in Diameter

R= D/2 = 20/2 = 10cm= Answer

• Find the centroid of hollow circular section whose outer diameter is 20cm and 16cm inner diameter

.Solution:

• Centroid of circular section lies at D/2 from each side of a circle.Hence, with respect to outer diameter centroid lies at;

D/2 = 20/2 = 10cm

With respect to inner diameter centroid lies at;

D/2 = 16/2 = 8cm = your Answer