Question

The least coefficient of friction for an inclined plane inclined at angle α with horizontal in order that a solid cylinder will roll down without slipping is ______.

Options

• `2/3`tan α

• `2/7`tan α

• tan α

• `5/7`tan α

Answer 1

The least coefficient of friction for an inclined plane inclined at angle α with horizontal in order that a solid cylinder will roll down without slipping is tan α.

Explanation:

μ = `"F"/"R"`

= `("mg"sinalpha)/("mg"cosalpha)`

= tan α