MCQ
Find minimum height of obstacle so that the sphere can stay in equilibrium.
- A$\frac{R}{{1 + \cos \theta }}$
- B$\frac{R}{{1 + \sin \theta }}$
- C$R (1- sin\theta )$
- ✓$R (1 - cos\theta )$
✓
Answer
Correct option: D.
$R (1 - cos\theta )$
d
The sphere is on the verge of toppling when a line of action of weight passes through the edge. The equilibrium is because of the line of action of weight and the normal reaction provided by the edge.
The sphere is on the verge of toppling when a line of action of weight passes through the edge. The equilibrium is because of the line of action of weight and the normal reaction provided by the edge.
$\cos \theta=\frac{(R-h)}{R}$
or
$h=R-R \cos \theta$
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