Question

a stone is whirled in a vertical plane .the stone has
(a)radial acceleration only
(b)tangential acceleration only
(c)both
(d)none of above

Answer 1

Answer:

• (c) both

Explanation:

both are correct because tangential acceleration is applied parallel to vertical plane and radial will always be there

Answer 2

Answer: C) Both Radial acceleration only and tangential acceleration only.

Explanation: As when a particle is moving in a vertical circle, Radial acceleration $a_{r}$ is found using

T-mgcosθ=$ma_{r}$

Tangential acceleration $a_{t}$ is found using,

mgsinθ=$ma_{t}$

As both radial and tangential acceleration is applied parallel to the vertical plane and radial will always be there, hence, functions of θ i.e. change with position and are varying.

So, when a stone is going around a circular path, the instantaneous velocity of the stone is acting as the tangent to the circle. When the string breaks, the centripetal force stops acting. Due to inertia, the stone continues to move along the tangent to a circular path. So, the stone flies off tangentially to the vertical plane.

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