Answered: Find the mass and center of mass of the… | bartleby

Related questions

Question

Find the mass and center of mass of the lamina corresponding to the region R for each density.
R: square with vertices (0, 0), (a, 0), (0, a), (a, a)
(a) p=k
m=
(x, y)
=
(b) p = ky
(x,y)
k.a²
2
m = za
=
(x, y)
m =
(c) P = kx
a a
2'2
k 3
2a a
3 2
3
ka
2
a 3a
2' 4
X

Expert Solution

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Block 1, of mass m1m1m_1 = 1.10 kgkg , moves along a frictionless air track with speed v1v1v_1 = 27.0 m/sm/s . It collides with block 2, of mass m2m2m_2 = 17.0 kgkg , which was initially at rest. The blocks stick together after the collision Part C What is the change ΔK=Kfinal−KinitialΔK=Kfinal−Kinitial in the two-block system's kinetic energy due to the collision? Express your answer numerically in joules.
A musket ball, 0.2 kilograms, is shot with the speed of 313 meters per second into a metal can holding some clay. The musket ball penetrates 0.134 meters into the clay before coming to a stop. What force does the clay exert in stopping the musket ball. THE ANSWER IS -73111.19. I JUST DO NOT KNOW HOW TO GET THERE
A 300 gg bird flying along at 6.2 m/sm/s sees a 8.0 gg insect heading straight toward it with a speed of 34 m/sm/s (as measured by an observer on the ground, not by the bird). The bird opens its mouth wide and enjoys a nice lunch. What is the bird's speed immediately after swallowing? Express your answer to two significant figures and include the appropriate units.
A water molecule consists of an oxygen atom with two hydrogen atoms bound to it (see the figure below). Suppose the angle between the two bonds is 110°. If the bonds are 0.100 nm long, where is the center of mass of the molecule? (Take the origin to be the center of the oxygen atom and the x axis to be along the dotted line.) X = X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nm y = x Consider carefully whether the correct answer is exactly zero, or just a very small number. nm 0.100 nm H 53° 53° 0.100 nm H
In Chapter 3 we saw that the electric forces acting between neighboring atoms behave very much like springs, with the spring stiffness being in the range of up to a few tens of Newtons per meter. Consider a molecule made up of two atoms of the same kind, each atom having a mass of 7.5 x 10-7 kg. Suppose that the center of the spring does not move, in which case you can model the motion of one of the atoms as that of a single atom connected to a half-length spring. If we should observe that a gas of these molecules emits photons whose energies are integer multiples of 2.2 x 10-2 eV, what would be the stiffness of the half-length "spring? half-length k, = N/m
Shown is a 10 by 10 grid, with coordinate axes x and y. The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A→ through D→. What is the x component of A→? What is the y component of A→? What is the y component of B→? What is the x component of C→?
In the ammonia (NH3) molecule of the figure, three hydrogen (H) atoms form an equilateral triangle, with the center of the triangle at distance d = 9.40 × 10−11 m from each hydrogen atom. The nitrogen (N) atom is at the apex of a pyramid, with the three hydrogen atoms forming the base. The nitrogen-to-hydrogen atomic mass ratio is 13.9, and the nitrogen-to-hydrogen distance is L = 10.14 × 10-11 m. What are the (a) x and (b) y coordinates of the molecule's center of mass? (a) Number Units (b) Number N L HO H d H This answer has no units Units This answer has no units
Apollo and Artemis are playing on the teeter‑totter in their school's playground. They both have approximately the same mass. They are sitting on either side of the teeter‑totter at about the same distance from the teeter‑totter's pivot point. The teeter‑totter is going up and down and they are having a great time! Mercury, the new kid in school, wanders by. Since they are very friendly kids, Apollo and Artemis ask Mercury to join them. Mercury joins Apollo on his side of the teeter‑totter and sits next to him. What should Artemis do in order to keep the fun going? 1)Move farther from the teeter‑totter's pivot point in order to balance out the new smaller torque provided by Mercury and Apollo. 2)Move closer to the teeter‑totter's pivot point in order to balance out the new larger torque provided by Mercury and Apollo. 3)Move farther from the teeter‑totter's pivot point in order to balance out the new larger torque provided by Mercury and Apollo. 4)Move closer to the…
1. As part of your role at a heavy-goods vehicle manufacturer, you have been asked to determine the drag caused by the boundary layer developing along a section of the trailer roof, which can be treated as having constant pressure, as the truck travels at 10 m/s. The velocity profile in this region is given by: - A (+ 1) + 1 us where us is the velocity at the edge of the boundary layer. A and B are constants.
A block of mass M is traveling on a surface inclined at angle θ. The coefficient of kinetic friction is μk, between block and surface. The velocity of the block is V before colliding with a spring. The spring has a stiffness k. How much is the spring compressed?
The collision frequency is inversely proportional to the mean free path, but is independent of the average speed of the particles. True False
A 20 g glob of clay traveling east at 3.0 m/s collides with 30 g glob of clay traveling north at 2.0 m/s. Determine the speed of travel of the resulting 50 g glob of clay.

SEE MORE QUESTIONS