Ask Question
4 December, 00:13

A solid, uniform disk of mass M and radius a may be rotated about an axis parallel to the disk axis, at variable distances from the center of the disk.

What is Tmin, the minimum period of the pendulum?

+5
Answers (1)
  1. 4 December, 00:34
    0
    the function varies linearly with the radius of the disk, so the smallest period is zero for a radius of zero centimeters

    Explanation:

    This system performs a simple harmonic movement where the angular velocity is given by

    w = √ k / I

    Where k is the constant recovered from the axis of rotation and I is the moment of inertia of the disk

    The expression for the moment of inertia is

    I = 1/2 m r²

    Angular velocity, frequency and period are related

    w = 2π f = 2π / T

    Substituting

    2π / T = √ k / I

    T = 2π √ I / k

    T = 2π √ (½ m r² / k)

    T = (2π √m / 2k) r

    We can see that the function varies linearly with the radius of the disk, so the smallest period is zero for a radius of zero centimeters
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A solid, uniform disk of mass M and radius a may be rotated about an axis parallel to the disk axis, at variable distances from the center ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers