Choose the correct option:
A disc of radius `R` rolls on a horizontal ground with linear acceleration `a` and angular acceleration `alpha` as shown in Fig. The magnitude of acceleration of point `P` as shown in the figure at an instant when its linear velocity is `v` and angular velocity is `omega` will be a

Options

A. `sqrt((a+ralpha)^(2)+(romega^(2))^(2))`
B. `(ar)/R`
C. `sqrt(r^(2)alpha^(2)+r^(2)omega^(4))`
D. `ralpha`

Answer

A

Explanation

`FBD` of point `P`
In the earth frame, we have
So, resultant `=sqrt((a+ralpha)^(2)+(omega^(2)r)^(2))`