Question

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 shortsmooth cylinder is free to slide down the influence of gravity.Find thetime taken by the cylinder to reach from A to O. ( g = 10 m/s2)

Answer 1

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

Answer 2

The plane is inclined at 30∘ to horizontal and the path of the cylinder is at 30∘ to OX

Therefore the acceleration of cylinder

a=(gsin30∘)(sin30∘)

=10(12)(12)

=2.5m/s2

time taken =t=2sa−−−√

=2×52.5−−−−√

=2s