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  • A solid sphere of mass 1kg and radius 1cm is placed on the inclined plane inclination angle <img alt="60^{\degree}" src="https://entrancecorner.oncodecogs.com/gif.latex?60%5E%7B%5Cdegree%

A solid sphere of mass 1kg and radius 1cm is placed on the inclined plane inclination angle 60^{\degree} As shown in the figure. An obstacle of height h is placed on the surface to keep the sphere in the equilibrium. Then the minimum height of the obstacle to avoid topping will be

Option: 1

\frac{1}{4} m


Option: 2

\frac{1}{3} m


Option: 3

\frac{1}{2} m


Option: 4

1m


Answers (1)

best_answer

\text { In } \begin{gathered} \triangle A B D, \\ A B=R-h \\ A D=R \end{gathered}

\cos \theta=\frac{A B}{A D}=\frac{R-h}{R}

\begin{aligned} & h=R(1-\cos \theta) \\ & h=(1)\left[1-\cos 60^{\circ}\right] \\ & h=\frac{1}{2} m \end{aligned}

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avinash.dongre

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