Two disks, A and B, each experience a net external torque that varies over an interval of $5\,\text{s}$. Disk B has a rotational inertia that is twice that of Disk A. The graph shown represents the angular momentum of the two disks as functions of time between $t = 0\,\text{s}$ and $t = 5\,\text{s}$. The average magnitudes of the net torques exerted on disks A and B from $t = 0\,\text{s}$ to $t = 5\,\text{s}$ are $\tau_A$ and $\tau_B$, respectively. Which of the following expressions correctly relates the magnitudes of the average torques?

Question

Two disks, A and B, each experience a net external torque that varies over an interval of $5\,\text{s}$. Disk B has a rotational inertia that is twice that of Disk A. The graph shown represents the angular momentum of the two disks as functions of time between $t = 0\,\text{s}$ and $t = 5\,\text{s}$. The average magnitudes of the net torques exerted on disks A and B from $t = 0\,\text{s}$ to $t = 5\,\text{s}$ are $\tau_A$ and $\tau_B$, respectively. Which of the following expressions correctly relates the magnitudes of the average torques?(a) $\tau_B = 4 \tau_A$
, (b) $\tau_B = 2 \tau_A$
, (c) $\tau_B = \dfrac{1}{2} \tau_A$
, (d) $\tau_B = \dfrac{1}{4} \tau_A$
:

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