$A$ small sphere of mass $m$ is suspended by a light and inextensible string of length $l$ from a point $O$ fixed on a smooth inclined plane of inclination $\theta$ with the horizontal. The sphere is moving in a circle on the incline as shown. If the sphere has a velocity $u$ at the top most position $A$, then:

  • A
    the tension in the string as the sphere passes the $90^o$ position $B$ is equal to $m\left( \frac{u^2}{l} + g \sin \theta \right)$
  • B
    the tension in the string at the bottom most position $C$ is equal to $m\left( \frac{u^2}{l} + 5g \sin \theta \right)$
  • C
    the tension in the string as the sphere passes the $90^o$ position $B$ is equal to $m\left( \frac{u^2}{l} - 3g \sin \theta \right)$
  • D
    the tension in the string at the bottom most position $C$ is equal to $m\left( \frac{u^2}{l} - 5g \sin \theta \right)$

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