NEET-XII-Physics

P1 year:2019

with Solutions - page 2
  • #35
    A block of mass 10 kg is in contact against the
    inner wall of a hollow cylindrical drum of
    radius 1 m. The coefficient of friction between
    the block and the inner wall of the cylinder is
    0.1. The minimum angular velocity needed for
    the cylinder to keep the block stationary when
    the cylinder is vertical and rotating about its
    axis, will be : (g = ``10m/s^2`` )
    (1) ``\sqrt10`` rad/s
    (2)``\frac {10}{2\pi} rad/s``
    (3) 10 rad/s
    (4) 10 ``\pi`` rad/s
    digAnsr:   3
    Ans : ( 3 )
    Sol.
    N mrω2
    f
    L
    mg
    For equilibrium of the block limiting friction
    f
    L
    ≥ mg
    &implies; μN ≥ mg
    &implies; μmrω2 ≥ mg
    ω≥
    μ
    g
    r
    ω =
    μmin
    g
    r
    ω =
    ï‚´min
    10
    0.1 1
    = 10 rad/s