1. A vinyl LP of diameter 30cm rotates at 33 1/3 rev/min. What is the minimum co
ID: 2261927 • Letter: 1
Question
1. A vinyl LP of diameter 30cm rotates at 33 1/3 rev/min. What is the minimum coefficient of static friction required to hold a penny at the outer edge of the LP?
2. Particles of mass m are located at the three corners of the equilateral triangle shown [picture]. Calculate the particles' moment of inertia around the axis that passes through P and is perpendicular to the page.
For both of these questions if you could be specific and give formulas, conversions, a full break down that would really help me. Thanks!
Particles of mass m are located at the particles moment of the inertia are the page.Explanation / Answer
a). frictional force should be sufficient to provide the centripetal force. => us*mg = m*w^2*r => us*9.8 = [33.33*2*pi/60 rad/s]^2 *(0.3/2) => us = 0.1863 b). distance of each mass from the given axis = (2/3)*sqrt[L^2 - (L/2)^2] => r = (2/3)*sqrt(3)*L/2 => r = L/sqrt(3) Moment of inertia of 3 masses about the axis= 3*m*r^2 => I = 3m*L^2/3 => I = m*L^2
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