An inclined plane making an angle 60° with the vertical. A ring is rolling down this inclined plane from rest without slipping has an acceleration equal to

Question

An inclined plane making an angle 60° with the vertical. A ring is rolling down this inclined plane from rest without slipping has an acceleration equal to (A) g / 4 (B) g / 2 (C) (2/5) g (D) (3/2) g

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f3ffa796bb0d6cd92170922674d4f09c-.png" /> a=(g sin θ/1+(K2)R2)=(g × (1/2)/1+1) =(g/2 × 2)=(g/4)

Q. An inclined plane making an angle $6 0^{\circ}$ with the vertical. A ring is rolling down this inclined plane from rest without slipping has an acceleration equal to

$g /4$

$g /2$

$\frac{2}{5} g$

$\frac{3}{2} g$

$a = \frac{g s i n θ}{1 + \frac{K ^{2}}{R ^{2}}} = \frac{g \times \frac{1}{2}}{1 + 1}$
$= \frac{g}{2 \times 2} = \frac{g}{4}$

Q. An inclined plane making an angle 60∘ with the vertical. A ring is rolling down this inclined plane from rest without slipping has an acceleration equal to

g/4

g/2

52​g

23​g