Question

A metal plate, with constant density 3 g/cm22, has a shape bounded by the curve ?=?^(2)...

A metal plate, with constant density 3 g/cm22, has a shape bounded by the curve ?=?^(2) and the x-axis, with 0≤x≤2 and x,y in cm.

(a) Find the total mass of the plate.
mass =
(include units)

(b) Sketch the plate. Using your sketch, is x¯ less than or greater than 1?
A. greater than
B. less than

(c) Find x¯.
x¯=

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
find moment of inertia about x-axis of lamina with shape of the region bounded by y=x^2...
find moment of inertia about x-axis of lamina with shape of the region bounded by y=x^2 y=0 and x=0 with density=x+y
Find the center of the mass of a solid of constant density that is bounded by...
Find the center of the mass of a solid of constant density that is bounded by the parabolic cylinder x=y^2 and the planes z=0 , z=x and x=2 when the density is ρ.
Calculate the following; Find the area bounded by the curve ?=2/? between ?=3 and ?=7. Give...
Calculate the following; Find the area bounded by the curve ?=2/? between ?=3 and ?=7. Give your answer to 3 decimal places Find the are area enclosed by the curve ?=cos(?), the x-axis and the lines x=0.3π and ?=1.2?. Give your answer to 2 decimal places & sketch the curve of y=cos⁡(x) between x=0 and ?=2? for this part
A solid is formed by rotating the region bounded by the curve ?=?−6?/2y=e−6x/2 and the ?x-axis...
A solid is formed by rotating the region bounded by the curve ?=?−6?/2y=e−6x/2 and the ?x-axis between x=0 and x=1, around the x-axis. The volume of this solid is ?/6⋅(1−?^(−6)). Assuming the solid has constant density ?, find ?¯ and y¯. x¯= y¯=
Find the center of mass of a solid of constant density that is bounded by the...
Find the center of mass of a solid of constant density that is bounded by the cylinder x^2 + y^2 = 4, the paraboloid surface z = x^2 + y^2 and the x-y plane.  
A tank is filled with liquid of density 1000 [kg/m3 ]. Its shape is obtained by...
A tank is filled with liquid of density 1000 [kg/m3 ]. Its shape is obtained by rotating the curve y =√x, 0 ≤ x ≤ 4, around the y-axis. Find the work that is required to pump all the liquid out of the tank, from the top of the tank. All the lengths are in units of meter [m]. Do not forget to use gravitational constant g = 9.8[m/s2 ].
Find the center of mass of a thin plate of constant density δ covering the given...
Find the center of mass of a thin plate of constant density δ covering the given region. The region bounded by the parabola y=3x-6x^2 and the line and the line y=-3x The center of mass is (_,_) Type an Ordered Pair
Find the center of mass of a thin plate covering the region between the x-axis and...
Find the center of mass of a thin plate covering the region between the x-axis and the curve y=20/x^2, 5 less than or equal to x less than or equal to 8, if the plate's density at a point (x,y) is delta(x)=2x^2 The center of the mass is (x,y)= _____
Find the center of mass of a thin plate covering the region bounded below by the...
Find the center of mass of a thin plate covering the region bounded below by the parabola y=x^2 and above by the line y​=x if the​ plate's density at the point​ (x,y) is δ​(x)​=13x. The center of mass is (x̄,ȳ) = (_,_) Type an Ordered Pair. Simplify your answer.
please answer A water tank has the shape obtained by rotating the curve y = x...
please answer A water tank has the shape obtained by rotating the curve y = x 2 , 0 ≤ x ≤ 2 about the y−axis (x and y are measured in meters). It is full of water. Find the work required to pump all of the water out of the tank. (The density of water is ρ=1000kg/m.)