Question

A disc of radius 5 cm rolls on a horizontal surface with linear velocity v = 1`hat"i"` m/s and angular velocity 50 rad/s. Height of particle from ground on rim of disc which has velocity in vertical direction is ______ cm.

Options

• 1

• 2

• 3

• 4

Answer 1

A disc of radius 5 cm rolls on a horizontal surface with linear velocity v = 1`hat"i"` m/s and angular velocity 50 rad/s. Height of particle from ground on rim of disc which has velocity in vertical direction is 3 cm.

Explanation:

v = Rω cosθ

⇒ cosθ = `"v"/("R"omega)`

= `2/5` cm

∴ h = R(1 – cosθ) = 3 cm.