Which of the following are correct expression for torque acting on a body? A. $\vec{\tau}=\vec{r} \times \vec{L}$ B. $\vec{\tau}=\frac{d}{d t}(\vec{r} \times \vec{p})$ C. $\vec{\tau}=\vec{r} \times \frac{d \vec{p}}{d t}$ D. $\vec{\tau}=I \vec{\alpha}$ E. \(\vec{\tau}=\vec{r} \times…

Question

Which of the following are correct expression for torque acting on a body? A. $\vec{\tau}=\vec{r} \times \vec{L}$ B. $\vec{\tau}=\frac{d}{d t}(\vec{r} \times \vec{p})$ C. $\vec{\tau}=\vec{r} \times \frac{d \vec{p}}{d t}$ D. $\vec{\tau}=I \vec{\alpha}$ E. $\vec{\tau}=\vec{r} \times \vec{F}$ ($\vec{r}=$ position vector; $\vec{p}=$ linear momentum; $\vec{L}=$ angular momentum; $\vec{\alpha}=$ angular acceleration; I = moment of inertia; $\vec{F}=$ force; t = time)

Aicharya · Accepted Answer

$\begin{aligned} & \vec{\tau}=\vec{r} \times \vec{L} \quad \text { wrong } \ & \vec{\tau}=\frac{d}{d t}(\vec{r} \times \vec{p}) \text { correct } \ & \vec{\tau}=\vec{r} \times \frac{d p}{d t}=\vec{r} \times \vec{F} \text { correct } \ & \vec{\tau}=I \vec{\alpha} \text { correct } \ & \vec{\tau}=\vec{r} \times \vec{F} \text { correct }\end{aligned}$

Which of the following are correct expression for torque acting on a body? A. \(\vec{\tau}=\vec{r} \times…

Solution