Question

Consider a particle of mass m moving in a plane with a constant radial speed \(\dot{r}\) and a constant angular speed \(\dot{\theta}\). The acceleration of the particle in (r,\(\theta\)) coordinates is

• A. \(2r\dot{\theta}^2\hat{r}-\dot{r}\dot{\theta}\hat{\theta}\)
• B. \(-r\dot{\theta}^2\hat{r}+2\dot{r}\dot{\theta}\hat{\theta}\)
• C. \(\ddot{r}\hat{r}+r\ddot{\theta}\hat{\theta}\)
• D. \(\ddot{r}\theta\hat{r}+r\ddot{\theta}\hat{\theta}\)

Answer 1

The Correct Option is B

The correct answer is (B) : \(-r\dot{\theta}^2\hat{r}+2\dot{r}\dot{\theta}\hat{\theta}\)