A disc of radius r rolls on a horizontal ground with linear acceleration a and angular…

Physics · JEE Main · NTA ExamsRotational Motion

A disc of radius r rolls on a horizontal ground with linear acceleration a and angular acceleration as shown in figure. The magnitude of acceleration of point P shown in figure at an instant when its linear velocity is v and angular velocity is \(\boldsymbol{\omega}\) will be:
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  1. \(\sqrt{(a+r \alpha)^{2}+\left(r \omega^{2}\right)^{2}}\)
  2. \(\frac{a r}{R}\)
  3. \(\sqrt{r^{2} \alpha^{2}+r^{2} \omega^{4}}\)
  4. \(\text { rα }\)

Answer

(A) (a+r )^ 2 + (r ^ 2 )^ 2

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