Nonuniform cylindrical object. In the figure, a cylindrical object of mass M and radius R rolls smoothly from rest down a ramp and onto ahorizontal section. From there it rolls off the ramp and onto the floor, landing a horizontal distance d = 0.470 m from the end of theramp. The initial height of the object is H = 0.92 m; the end of the ramp is at height h = 0.13 m. The object consists of an outercylindrical shell (of a certain uniform density) that is glued to a central cylinder (of a different uniform density). The rotational inertia ofthe object can be expressed in the general form | = ßMR², but ẞ is not 0.5 as it is for a cylinder of uniform density. Determine ẞ.HNumberUnitshT

It appears to be a voltage divider circuit with a dependent current source. Here's a breakdown of…

Answered: Nonuniform cylindrical object. In the…

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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A pool ball is struck directly in its center so that it begins to slide across the table without rotating. Eventually, friction with the table causes it to roll without slipping. The mass of the ball is M and its radius is R. The coefficient of friction between the ball and the table is u. If the initial speed of the ball is vo, what is its final speed, once it is rolling without slipping?
A solid sphere is released from the top of a ramp that is at a height h, = 1.85 m. It rolls down the ramp without slipping. The bottom of the ramp is at a height of h, = 1.48 m above the floor. The edge of the ramp is a short horizontal section from which the ball leaves to land on the floor. The diameter of the ball is 0.12 m. h2 (a) Through what horizontal distance d, in meters, does the ball travel before landing? (b) How many revolutions does the ball make during its fall? rev
A solid cylindrical disk of radius 1.00 m and mass 10.0 kg rotates around its center in the horizontal plane on a frictionless bearing with an angular speed of 7 radians per second. A lump of clay, mass 250 g, and negligible size is dropped vertically onto the disk from a small distance above it and immediately sticks to the disk at a point 0.900 m from the center of the disk. (a) Find the final angular speed of the clay and disk. (b) Does the total mechanical energy of the clay-disk system change in this process?
A smooth rod of mass M, length L = 1 (m), is rotated at one end with a constant angular velocity w = 4 (rad/s) as shown in the figure. At t= 0, an insect of m = 0.01 (kg) moves from point O to the other end of the rod with a constant velocity of v = 2 (m/s) and stops at the end of rod. The angular velocity of the rod remains constant during the movement. Find the torque acting on the rod in (N.m) when the insect reaches to the end of rod (just before it stops). m M x = L A) 0.48 В) 0. 16 C) 0.72 D) 0.24 E) 0.96
A wheel moves in the xy plane in such a way that the location of its center is given by the equations xO = 12t 3 and yO = R = 2, where xO and yO are measured in feet and t is measured in seconds. The angular displacement of a radial line measured from a vertical reference line is θ = 8t 4 , where θ is measured in radians. Determine the velocity of point P located on the horizontal diameter of the wheel at t = 1 s.
In the figure, a solid cylinder of radius 6.0 cm and mass 14 kg starts from rest and rolls without slipping a distance L = 7.9 m down a roof that is inclined at angle 0 = 35°. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roof's edge is at height H = 3.8 m. How far horizontally from the roof's edge does the cylinder hit the level ground? (a) Number L (b) Number i 0 H 119.737 ! Units rad/ Units 3
In the figure, a solid cylinder of radius 16 cm and mass 16 kg starts from rest and rolls without slipping a distance L = 6.9 m down a roof that is inclined at angle 0 = 32°. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roof's edge is at height H = 6.8 m. How far horizontally from the roof's edge does the cylinder hit the level ground? (a) Number i (b) Number IN Units Units 0 H
A uniform disk (1=1/2 mR2) has a mass of 3 kg and a radius of 2m. The disk is mounted on frictionless bearings and is used as a turntable. The turntable is initially rotating at 120 rpm (revolutions per minute, convert it to rad/s). A hollow cylinder has the same mass and radius as the disk. It is released from rest, just above the turntable, and on the same vertical axis. The hollow cylinder slips on the turntable for 0.20 s until it acquires the same final angular velocity as the turntable. (HINT: Note that some of the information given is not needed! Think which conservation law(s) apply.) The final angular momentum of the system is closest to: L = Submit [5] ΑΣΦ Request Answer ? kg. m²/s 4
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In the figure, a solid cylinder of radius 5.5 cm and mass 14 kg starts from rest and rolls without slipping a distance L = 6.9 m down a roof that is inclined at angle = 39°. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roof's edge is at height H = 5.2 m. How far horizontally from the roof's edge does the cylinder hit the level ground? (a) Number (b) Number i Units Units H
The figure shows a device that can be used to measure the speed of a bullet. The device consists of two rotating disks, separated by a distance of d = 0.872 m, and rotating with an angular speed of 101 rad/s. The bullet first passes through the left disk and then through the right disk. It is found that the angular displacement between the two bullet holes is = 0.268 rad. From these data, determine the speed of the bullet. Number IN Bullet Units Motor
A solid spherical ball starts from rest at an initial height of 1.9 m, and rolls down an incline. The ball's mass is 2.5 kg and its radius is 23.2 cm. What is the ball's final center of mass (translational) speed (in m/s)?

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