b. At the bottom of the ramp, compare (using <, > and/or =) the object's rotational kinetic energy with itstranslational kinetic energy.KeransKrotC.At the bottom of the ramp, find the ratio of the magnitude of the object's angular momentum to the magnitudeof its linear momentum,Lhattom=Phottom Please show complete, organized and correct work for each question. Any question-even multiple choice-without complete and clearwork will not earn a passing grade. Put all work you want graded on this paper. Erase (or cross out) any work that you don't wantgraded. You should use scratch paper to organize your thoughts, but do not turn it in.In order for an object to roll smoothly (with constant angular acceleration) down a ramp, it must have either spherical orcylindrical symmetry. Consider spherically and cylindrically symmetric objects with mass M and outer radius R rollingwithout slipping down an incline of height h and angle 0 from the horizontal. The rotational inertias of such objects canbe written in the generalized form: / = cMR?, where c is a shape factor whose value depends on the geometry of theobject. (If you look at the table of rotational inertias in the textbook you'll be able to see that this is true.)(For this question, consider M, R, c, h, 0, and g as the given quantities-express your answers in terms of some orall of these quantities. Simplify your answers as much as you can.)If the object starts from rest at the very top of the ramp before rolling freely downa.the ramp without slipping, find the object's (linear) speed at the bottom of the ramp.(Hint: use conservation of energy.)Vbottom =

Answered: Image /qna-images/answer/1fa0fd2d-a497-4a64-a845-a616ee797005.jpg

generalized form: I= cMR?, where c is a shape factor whose value depends on the geometry of the k at the table of rotational inertias in the textbook you'll be able to see that this is true.) question, consider M, R, c, h, 0, and g as the given quantities –express your answers in terms of some or se quantities. Simplify your answers as much as you can.) %3D If the object starts from rest at the very top of the ramp before rolling freely down the ramp without slipping, find the objecť's (linear) speed at the bottom of the ramp. (Hint: use conservation of energy.)

generalized form: I= cMR?, where c is a shape factor whose value depends on the geometry of the k at the table of rotational inertias in the textbook you'll be able to see that this is true.) question, consider M, R, c, h, 0, and g as the given quantities –express your answers in terms of some or se quantities. Simplify your answers as much as you can.) %3D If the object starts from rest at the very top of the ramp before rolling freely down the ramp without slipping, find the objecť's (linear) speed at the bottom of the ramp. (Hint: use conservation of energy.)

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)...

See similar textbooks

Similar questions

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
I attached the question and the answer What I don’t understand in part a is the part after we find angular velocity how was the semplification made to find the maximum angle just the simplification And in part b I don’t understand where pi/4 comes from
Solve correctly will upvote Chatgpt gives wrong answer.
I got Part A really well in finding the torque but I am struggling to find the angle theta in part B.
Bar AB is rotating about A with an angular velocity of wRA = 3.5 rad/s counterclockwise. At this instant bar BC is horizontal. Find the wye and also, velocity of collar C Note. You must solve the problem in the way that we solved in the class. Use vg= V + WXTRA and express the vectors in Cartesian vector form. Other solutions will not be evaluated. Solve the problem step by step, and clearly show your work. 15/ 55 mm 200 mm
Moments of Semicircle For the semicircle of diameter a=2.1 in., compute the following: • The moment of inertia about an axis parallel to the x axes through the centroid. • The moment of inertia about the y-axis. The product of inertia about the origin. The moment of inertia about an axis parallel to the x-axes through the centroid. I = = The moment of inertia about the y axis. Iy The product of inertia about the origin. Ixy = in 4 in 4
Below is a sketch of the toy on a rotor ride at the moment after the floor drops. The rotor has a radius of R and the toy has mass m. Assume the angular velocity is constant, and the toy is not slipping downward. write Newton’s Second Law for the x and y directions. Use algebra and your equations above to predict the minimum angular velocity ωmin necessary to keep the toy “stuck” to the side of the rotation tube. Express your answer in terms of g, μs, R. (nonumbers yet). Show all of your work and your final result below.
Suppose you start an antique car by exerting a force of 350 N on its crank for 0.16 s.Randomized Variablesf = 350 Nt = 0.16 sd = 0.22 m What angular momentum is given to the engine if the handle of the crank is 0.22 m from the pivot and the force is exerted to create maximum torque the entire time?
Please help showing how to solve this question. According to Canvas, the answer should be 1.367 m/s.
Problem 3 The pictured homogeneous circular disk of mass m and radius r is supported without friction by the pivot at point A. The circular disk moves under the influence of gravity and is released at time t = 0 from the position e, with initial angular velocity o- Given: m; r; 4o ; 9o ; g; (Initial conditions: (t = 0) = Po , $(t = 0) = 90) Find: Determine, 1. the differential equation of the motion with d'Alembert's principle, 2. the eigenfrequency w as well as the function P(t) under the assumption that the angle p is small.
A disk is rotating on a horizontal axis as shown in the figure. Answer the following questions if you pull out at A and push in at B along the axis of the disk.What is the direction of the torque acting on the disk? What is the direction of the initial angular momentum vector for the disk? The applied torque causes the wheel's axis (or angular momentum vector) to move. From the front view, what is the direction of motion of the L vector? A disk is rotating on a vertical axis as shown in the figure. Answer the following questions if you push in at A and pull out at B along the axis of the disk. What is the direction of the torque acting on the disk? What is the direction of the initial angular momentum vector for the disk? The applied torque causes the wheel's axis (or angular momentum vector) to move. From the front view, what is the direction of motion of the L vector?