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An inclined plane makes an angle 30° with the horizontal. A groove OA = 5 m cut in the plane makes an angle 30° with OX. A short smooth cylinder is free to slide down the influence of gravity. Find the time taken by the cylinder to reach from A to O. ( g = 10 m/s 2 )

An inclined plane makes an angle 30° with the horizontal. A groove
OA = 5 m cut in the plane makes an angle 30° with OX. A short
smooth cylinder is free to slide down the influence of gravity. Find the
time taken by the cylinder to reach from A to O. ( g = 10 m/s
2
 

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Grade:12th pass

1 Answers

shashi K Sharma
46 Points
6 years ago
Dear Student
 
The time should be 2 second. The net acceleration along the groove is a=gSin30Cos60, will be used to move the body ahead.
Since rolling is not indulged so the case may be dealt as a point mass. Along the groove put S=1/2at^2 and thus get the answer.

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