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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 A. `sqrt((a + r prop)^2 + (r omega^2)^2)`B. `(ar)/( R)`C. `sqrt(r^2 prop^2 + r^2 omega^4)`D. `r prop` |
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Answer» Correct Answer - A (a) `vec a_o = a hat i, vec a_(p//o) = prop r hat i + omega^2 r(- hat j)` `vec a_p = vec a_o + vec a_(p//o) =(a + prop r) hat i - omega^2 r hat j` `a_p = sqrt((a + prop r)^2 + (omega^2 r)^2)`. |
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