A small sphere of mass ‘m’ is tied to the top of the smooth inclined plane with the help of a string of length ‘L’. The string and the inclined plane makes an angle ‘θ’ with the horizontal. The inclined plane is rotated with a constant angular velocity ‘ω’ about the vertical axis passing through the end of the string fixed to the plane as shown in the figure. The maximum value of ω so that the sphere maintains contact with the inclined plane is:

A small sphere of mass ‘m’ is tied to the top of the smooth inclin

1.	A small sphere of mass ‘m’ is tied to the top of the smooth inclined plane with the help of a string of length ‘L’. The string and the inclined plane makes an angle ‘θ’ with the horizontal. The inclined plane is rotated with a constant angular velocity ‘ω’ about the vertical axis passing through the end of the string fixed to the plane as shown in the figure. The maximum value of ω so that the sphere maintains contact with the inclined plane is:
Answer» A small sphere of mass ‘m’ is tied to the top of the smooth inclined plane with the help of a string of length ‘L’. The string and the inclined plane makes an angle ‘ $θ$ ’ with the horizontal. The inclined plane is rotated with a constant angular velocity ‘ $ω$ ’ about the vertical axis passing through the end of the string fixed to the plane as shown in the figure. The maximum value of $ω$ so that the sphere maintains contact with the inclined plane is: