Ball, mass m, radius r, moment of inertia I. H path of center of · - ball A ball, of mass m, radius r, and moment of inertia I, starts from rest, then rolls without slipping, descending a distance H before the ground levels off and becomes perfectly flat. It then freefalls off a sharp cliff, traveling a horizontal distance D while descending an extra vertical distance h, as sketched in the diagram. Calculate the distance D in terms of the other relevant quantities. Your derivation may involve multiple steps, so please try to give me a clear chain of thought. I recommend you start by finding the amount of time for the ball to freefall the distance h.

Ball, mass m, radius r, moment of inertia I. H path of center of · - ball A ball, of mass m, radius r, and moment of inertia I, starts from rest, then rolls without slipping, descending a distance H before the ground levels off and becomes perfectly flat. It then freefalls off a sharp cliff, traveling a horizontal distance D while descending an extra vertical distance h, as sketched in the diagram. Calculate the distance D in terms of the other relevant quantities. Your derivation may involve multiple steps, so please try to give me a clear chain of thought. I recommend you start by finding the amount of time for the ball to freefall the distance h.

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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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

Ball, mass m, radius r,
moment of inertia I.
H
path of
center of
ball
h
A ball, of mass m, radius r, and moment of inertia I, starts from rest, then rolls without
slipping, descending a distance H before the ground levels off and becomes perfectly flat. It
then freefalls off a sharp cliff, traveling a horizontal distance D while descending an extra
vertical distance h, as sketched in the diagram.
Calculate the distance D in terms of the other relevant quantities. Your derivation may
involve multiple steps, so please try to give me a clear chain of thought. I recommend you
start by finding the amount of time for the ball to freefall the distance h.

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