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Mathematics Clinic => Calculus => Topic started by: fasfsadfdsfa on May 26, 2021

Title: A thin plate occupying the planar region 0 x g(y), c y d has mass equal to 2 units. If the areal ...
Post by: fasfsadfdsfa on May 26, 2021

Question 1

Find the moment about the x-axis of a thin plate that occupies the planar region described by 0 ≤ y ≤ ,  0 ≤ x ≤ 1 if the areal density is given by σ(x) = ex.
◦ 2e - 1
e
◦ 1
◦ e - 1


Question 2

A thin plate occupying the planar region  0 ≤ x ≤ g(y), c ≤  y ≤ d has mass equal to 2 units. If the areal density  δ(y) = y2, = 6,  and = 16, then the centre of mass of the plate is at the point:
◦ (, ) = (12, 16)
◦ (, ) = (0, 0)
◦ (, ) = (3, 4)
◦ (, ) = (16, 12)
◦ (, ) = (4, 3)
Title: A thin plate occupying the planar region 0 x g(y), c y d has mass equal to 2 units. If the areal ...
Post by: polinasid on May 26, 2021

Answer 1

1

Answer 2

(, ) = (4, 3)