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creativ13 [48]
3 years ago
12

Find the center of mass of a thin plate of constant density covering the given region bounded by lines thru the following points

: (0,0),(2,0) and (1,6)
Mathematics
1 answer:
goldenfox [79]3 years ago
4 0

Answer:

center of mass = ( 1 ,2 )

Step-by-step explanation:

attached below is the detailed solution of the problem

first we have to determine the value of m

M = ∫∫ dA

   = 6

Mx = 12

attached solution below

My = 6

hence center of mass of a thin plate

   x       ,    y

= My/m , Mx/m

= 6/6  ,   12/6

= ( 1, 2 )

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Answer:

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The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be y. The magnitude of 40\text{ m/s} will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is 60^{\circ}, we have:

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Step-by-step explanation:

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