JEE MAIN - Physics (2005 - No. 31)

A block is kept on a frictionless inclined surface with angle of inclination $$'\,\alpha \,'.$$ The incline is given an acceleration $$a$$ to keep the block stationary. Then $$a$$ is equal to AIEEE 2005 Physics - Laws of Motion Question 114 English
$$g$$ $$cosec$$ $$\alpha $$
$$g/tan$$ $$\alpha $$
$$g$$ $$tan$$ $$\alpha $$
$$g$$

Explanation

Acceleration of the block is to the right. Pseudo force acting on the block to the left.

AIEEE 2005 Physics - Laws of Motion Question 114 English Explanation
From diagram we can say,

m$$a$$cos$$\alpha $$ = m$$g$$sin$$\alpha $$

$$ \Rightarrow a = g\tan \alpha $$

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