A rough platform OA rotates in a vertical plane about a horizontal axis through the point O with a constant counterclockwise velocity ω =3 rad s- 1 . As it passes through the position θ =0 , a small mass m is placed upon it at a radial distance. If the mass is observed to slip at θ =37° , then the coefficient of friction between the mass the member is ( consider r=0.5 m and g=10 m s- 2 )

Question

A rough platform OA rotates in a vertical plane about a horizontal axis through the point O with a constant counterclockwise velocity ω =3 rad s- 1 . As it passes through the position θ =0 , a small mass m is placed upon it at a radial distance. If the mass is observed to slip at θ =37° , then the coefficient of friction between the mass the member is ( consider r=0.5 m and g=10 m s- 2 ) <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-klipjfg0fqlhdyvj.jpg" /> (A) (3/16) (B) (9/16) (C) (4/9) (D) (5/9)

Tardigrade Admin · Accepted Answer

As the mass is at the verge of slipping ∴ mg sin 37-μ mg cos â¡ 37=m omega 2r 6-8 μ =4.5 ∴ μ =(3/16)

$\frac{3}{16}$

$\frac{9}{16}$

$\frac{4}{9}$

$\frac{5}{9}$

As the mass is at the verge of slipping
$∴ m g sin 37 - μ m g cos 37 = m o m e g a^{2} r$
$6 - 8 μ = 4.5$
$∴ μ = \frac{3}{16}$

163​

169​

94​

95​

As the mass is at the verge of slipping ∴mgsin37−μmgcos⁡37=m omega2r 6−8μ=4.5 ∴μ=163​

$\frac{3}{16}$

$\frac{9}{16}$

$\frac{4}{9}$

$\frac{5}{9}$

As the mass is at the verge of slipping
$∴ m g sin 37 - μ m g cos 37 = m o m e g a^{2} r$
$6 - 8 μ = 4.5$
$∴ μ = \frac{3}{16}$