Question bank/JEE Main/Physics

A block of mass m is at rest on an incline having an angle of
inclination θ with the horizontal. The incline is now being rotated with
constant angular velocity ω about an axis passing through the
perpendicular side. If the surface of the incline is rough having
coefficient of friction as µ, then find the distance along the
incline so that block just remains stationary with respect to incline
and is on the verge of slipping.
from the top of the incline as shown in the figure.]

A[IMAGE] m θ
ω µ

)

Show answer and solution▾

N + mrω2 sin θ = mg cos θ
mg sin θ + mrω2 cos θ = Fdown
µ (mg cos θ - mrω2 sin θ) = Fup
Fdown = Fup
r =[IMAGE] x cos θ = r
x =[IMAGE] =[IMAGE] =[IMAGE] TOPIC: CIRCULAR MOTION
SUB TOPIC: DYNAMICS

Source: Grass-G / P-03 Paper 1 (Physics) Eng. + Hindi 24-8-2020.docx