Question

A disc of radius R roll on a horizontal ground with linear acceleraton a and angular acceleration $\alpha$ as shown in figure The magnitude of acceleration of acceleration of point P shown in figure at an instant when its linear velocity is v and angular is $\omega$ will be

• A. $\sqrt{{(a+r\alpha )}^2+{\left({r\omega }^2\right)}^2}$
• B. $\sqrt{r^2{\alpha }^2+r^2{\omega }^4}$
• C. $\frac{ar}{R}$
• D. $r\alpha$

Answer 1

The correct option is A $\sqrt{{(a+r\alpha )}^2+{\left({r\omega }^2\right)}^2}$

$\begin{array}{c}\text{Linear acceleration of boint}p{a}_x=(a+r_x)\\ \text{(entripetal acceleration of Point}P={\omega }^2{l}_c\\ \text{Henu acceleration}{a}_{net}=\sqrt{(a+r\alpha {)}^2+{\left({\omega }^{2}r\right)}^2}\\ \text{Henu, option}\left(A\right)\text{is correct.}\end{array}$