TS EAMCET · Physics · Laws of Motion
The horizontal acceleration that should be given to a smooth inclined plane of angle \(\sin ^{-1}\left(\frac{1}{l}\right)\) to keep an object stationary on the plane, relative to the inclined plane is :
- A \(\frac{g}{\sqrt{l^2-1}}\)
- B \(g \sqrt{l^2-1}\)
- C \(\frac{\sqrt{l^2-1}}{g}\)
- D \(-\frac{g}{\sqrt{l^2+1}}\)
Answer & Solution
Correct Answer
(A) \(\frac{g}{\sqrt{l^2-1}}\)
Step-by-step Solution
Detailed explanation
Let horizontal acceleration given is \(a\) Horizontal force \(=m a \cos \theta\) \(\therefore m a \cos \theta=m g \sin \theta\) \(a=g \tan \theta\) \(=\frac{g}{\sqrt{l^2-1}}\)
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