A disc of radius 2 m is rotating with angular frequency 10 rad/sec. A block of mass 2 kg is to be put on the disc friction coefficient between disc and block is μK = 0.4, then find the maximum distance from axis where the block can be placed without sliding:

Question

A disc of radius 2 m is rotating with angular frequency 10 rad/sec. A block of mass 2 kg is to be put on the disc friction coefficient between disc and block is μK = 0.4, then find the maximum distance from axis where the block can be placed without sliding: (A) 2 cm (B) 3 cm (C) 4 cm (D) 6 cm

Tardigrade Admin · Accepted Answer

μK.g=ω2x 0.4×10=(10)2.x x=(4/100) m=4 cm

Q. A disc of radius 2 m is rotating with angular frequency 10 rad/sec. A block of mass 2 kg is to be put on the disc friction coefficient between disc and block is $μ_{K}$ = 0.4, then find the maximum distance from axis where the block can be placed without sliding:

2 cm

3 cm

4 cm

6 cm

$μ_{K} . g = ω^{2} x$
$0.4 \times 10 = (10)^{2} . x$
$x = \frac{4}{100}$ m=4 cm

Q. A disc of radius 2 m is rotating with angular frequency 10 rad/sec. A block of mass 2 kg is to be put on the disc friction coefficient between disc and block is μK​ = 0.4, then find the maximum distance from axis where the block can be placed without sliding: