Problem 3 KR m h B Time for 1 rotation = T A small block with mass m is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is T. The walls of the cone make an angle B with the horizontal. The coefficient of static friction between the block and the cone is µs. If the cone is rotating at an angular frequency within a certain range of values, the block can remain at a constant height h above the apex of the cone. 1. Find the maximum value of T. 2. Find the minimum value of T.

Problem 3 KR m h B Time for 1 rotation = T A small block with mass m is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is T. The walls of the cone make an angle B with the horizontal. The coefficient of static friction between the block and the cone is µs. If the cone is rotating at an angular frequency within a certain range of values, the block can remain at a constant height h above the apex of the cone. 1. Find the maximum value of T. 2. Find the minimum value of T.

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

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Problem 3
KR
m
h
B
Time for 1 rotation = T
A small block with mass m is placed inside an inverted cone that is rotating about a vertical axis such that
the time for one revolution of the cone is T. The walls of the cone make an angle B with the horizontal.
The coefficient of static friction between the block and the cone is µs. If the cone is rotating at an angular
frequency within a certain range of values, the block can remain at a constant height h above the apex of
the cone.
1. Find the maximum value of T.
2. Find the minimum value of T.

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