= (b) The figure below shows an arrangement of 15 identical disks that have been glued together in a rod-like shape of length L = 1.0000 m and (total) mass M 100.0 mg. The disks are uniform, and the disk arrangement can rotate about a perpendicular axis through its central disk at point O. (a) What is the rotational inertia of the ar- rangement about that axis? (b) If we approximated the arrangement as being a uniform rod of mass M and length L, what percentage error would we make in using the formula in the Moodle table for a rod to calculate the rotational inertia? ooooooooooooooo

= (b) The figure below shows an arrangement of 15 identical disks that have been glued together in a rod-like shape of length L = 1.0000 m and (total) mass M 100.0 mg. The disks are uniform, and the disk arrangement can rotate about a perpendicular axis through its central disk at point O. (a) What is the rotational inertia of the ar- rangement about that axis? (b) If we approximated the arrangement as being a uniform rod of mass M and length L, what percentage error would we make in using the formula in the Moodle table for a rod to calculate the rotational inertia? ooooooooooooooo

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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answer d and e.
A turnable with a moment of interia of 0.012 kg m² rotates freely at 2.0 rad/s. A circular disk of mass 200 g and diameter 30 cm, and initially not råtating, slips down a spindle and land on the turnable. (A) Find the new angular speed. (B.) Whot is the change in kinetic energy?
A 5.0kg hoop 1m in diameter rolls down an inclined plane of 10m long that is at an angle of 15 degrees with the horizontal. (a) What is the angular speed of the hoop at the bottom of the plane? (b) What is its linear speed? (c) What is its rotational kinetic energy? (d) What is its total kinetic energy?
Please show how Part A is 2ma^2. And Part B is 2ma^2 + 2mb^2
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A mass m1 (3.0 kg) is connected by a light string that passes over a pulley of mass M ( 4.0 kg) to a mass m2 (2.0 kg) sliding on a frictionless incline as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25 cm and a moment of inertia of 2 MR2. The angle is 60 degrees, then what is the Ma Scceleration of m1? m1
A solid metal disk with moment of inertia I, radius R, and mass m1 can rotate freely about a frictionless axis passing through its center. A light string is wrapped around the disk and connects to a hanging mass m2. The hanging mass is released from rest at a distance d above the ground and accelerates downward with acceleration awhile the disk rotates through an angle q. a) Find an expression for the angular accelerationaof the diskin terms of m2, I, R, and any necessary constants. b) Find an expression for the time it takes for the hanging mass to reach the ground. Write your answer in terms of q, a, and any necessary constants. c) Find an expression for the angular velocity of the disk just before the hanging mass hits the ground. Write your answer in terms of q, a, and any necessary constants.
Suppose you exert a force of 185N tangential to the outer edge of a grindstone (which is a solid disk) with a radius of 1.56m and a mass of 74kg. What is the angular acceleration of the grindstone αf, in radians per square second, if there is an opposing frictional force of 22.5 N exerted 0.45 m from the axis?
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A ball of mass 5.5 kg is released from rest from the top of a 4.0 m long hill that is inclined at 30°, as shown in figure. The ball rolls along the hill without slipping. The rotational inertia of a sphere of mass M and radius R about its center of mass is MR. (cos 30° = 0.866, sin 30° = 0.5, g = 9.8m/s?) a) Calculate the force due to friction acting on the ball as it rolls along the hill, b) Calculate the linear speed of the center of mass of the ball when it reaches the bottom edge of the hill, c) A wagon containing a box is at rest on the ground below the hill so that the ball falls the vertical distance of 3.0 m and lands and sticks in the center of the box. The total mass of the wagon and the box is 12 kg. Calculate the horizontal speed of the wagon immediately after the ball lands in it. 4,0 m 3.0 m
The figure shows an arrangement of 15 identical disks that have been glued together in a rod-like shape of length L = 1.4600 m and (total) mass M = 160.0 mg. The arrangement can rotate about a perpendicular axis through its central disk at point O. (a) What is the rotational inertia of the arrangement about that axis? Give your answer to four significant figures. (b) If we approximated the arrangement as being a uniform rod of mass M and length L, what percentage error would we make in using the formula in Table 10-2e to calculate the rotational inertia? ooooooooooo (a) Number i (b) Number i Units Units
(a) What is the final velocity, in m/s, of a hoop that rolls without slipping down a 7.10 m high hill, starting from rest? m/s (b) What would be the final velocity, in m/s, if a disk of the same mass and radius as the hoop rolled down the hill? m/s