Find the center of mass of the following plane region with variable density. Describe the distribution of mass in the region. The upper half (y20) of the plate bounded by the ellipse x²+4y² = 4 with p(x,y)=1+y. The center of mass is ☐ (Type an ordered pair. Type an exact answer, using as needed.) Describe the distribution of mass in the region. Choose the correct answer below. O A. The density increases away from the x-axis. B. The density increases toward the x-axis. C. The density increases toward the y-axis. D. The density increases away from the y-axis.

Find the center of mass of the following plane region with variable density. Describe the distribution of mass in the region. The upper half (y20) of the plate bounded by the ellipse x²+4y² = 4 with p(x,y)=1+y. The center of mass is ☐ (Type an ordered pair. Type an exact answer, using as needed.) Describe the distribution of mass in the region. Choose the correct answer below. O A. The density increases away from the x-axis. B. The density increases toward the x-axis. C. The density increases toward the y-axis. D. The density increases away from the y-axis.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Parts a-c
lo h S. m g A ball of mass m is attached to a string of length d and moves with constant speed v on a horizontal frictionless surface. Answer each part of the question using a coordinate system in which the positive z direction is vertically upwards and the z-axis passes through the center of the circle, positive r points radially outwards from the z-axis, and positive 0 points tangentially in the counterclockwise direction when viewed from above. 1. Calculate the angular momentum of the particle about the point Q at the center of the circle. 2. Calculate the angular momentum about the point S located on the z-axis a distance h below the center of the circle. 3. Calculate the net torque about the points Q and S and relate it to the rate of change of the angular momentum. Does your answer make sense?
Plz solve it within 30-40 mins I'll give you multiple upvote
2. A bead on a wire can slide with negligible friction on a hoop with radius R rotating at a constant rate with a period T. а. Find the angle 0 at which the bead would not slide on the hoop. Express this in terms of the values given above and any constants (e.g. g). Note: A FBD and proper setup of NII equations are required here. Do your algebra. b. If the period increases, will the bead slide upward, slide downward, or do neither? Explain why, using your result from part a. Can 0 be greater than or equal to 90°? Why or why not? Use FBDS and your result С. from part a as evidence. d. Are there any other angles at which the ball will not slide on the hoop? Explain why. Note: Think very carefully about your forces here. Use FBDS.
Part D only please
Subject: phy
Next, imagine that a bullet impacts the block that you see and embeds itself. Let's say that you know the speed of the bullet just before it hits and also the mass of the bullet. Explain, with words and equations, how you would determine the angle theta. eed to know i L-h L Center of Pendulum catch
Part C - Moment due to two forces As shown, a member is fixed at the origin, point O, and has two applied forces, F₁ and F2, applied at the free end, point B. (Figure 3) The forces are given by F₁ = 90 Ni-120 Nj+65 Nk and F2 has magnitude 165 N and direction angles = = 158.0°, B=77.0°, and y = 72.6°. The dimensions are x₁ = 4.00 m, y₁ = 5.90 m, and z₁ = 2.90 m. What is the moment about the origin due to the applied forces? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Mo =[ Submit 15. ΑΣΦ | 11 vec p ? i, j, k] N.m
Please solve 1A and 1B
Please don't provide handwritten solution ......
Please see attachment, looking for part A and B
On a very muddy football field, a player of mass m₁ tackles a second one of mass m2 = 3m₁/2. Immediately before the collision, player 1 is slipping with a velocity of v₁ due north and player 2 is sliding with a velocity of v2 = 2v1 due east. 3a. Sketch the situation, placing careful labels, and write formulae for the initial momenta of the two players. Might want to chose a coordinate system that will help you figure out how to add together these momenta. 3b. What is the magnitude of the total momentum of the system of these two players before they collide? 3c. What are the magnitude and direction of the velocity at which the two players move together immediately after the collision? 3d. Calculate the loss of kinetic energy associated with this collision.