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Questions and Answers
What is the equation for the torque on each particle of the rotating disk?
What is the equation for the torque on each particle of the rotating disk?
- $\tau = \frac{1}{2} \omega m r$
- $\tau = \omega m r$
- $\tau = \omega m r^2$ (correct)
- $\tau = \frac{1}{2} \omega m r^2$
What is the expression for the net torque on the disk?
What is the expression for the net torque on the disk?
- $\sum \tau = \sum (\omega m r)$
- $\sum \tau = \frac{1}{2} \sum (\omega m r)$
- $\sum \tau = \sum (\omega m r^2)$ (correct)
- $\sum \tau = \frac{1}{2} \sum (\omega m r^2)$
What is the moment of inertia, I, of the whole body in terms of the masses and distances of the particles?
What is the moment of inertia, I, of the whole body in terms of the masses and distances of the particles?
- $I = \sum (m_i r_i^2)$ (correct)
- $I = \frac{1}{2} \sum (m_i r_i)$
- $I = \frac{1}{2} \sum (m_i r_i^2)$
- $I = \sum (m_i r_i)$
Why is the angular acceleration, a, not involved in the sum of individual torques on all the particles?
Why is the angular acceleration, a, not involved in the sum of individual torques on all the particles?
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