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Questions  

A disc of radius r = 20 cm is rotating about its axis with an angular speed of 20 rad/s. It is gently placed on a horizontal surface which is perfectly frictionless (see fig. 1).

What is the linear speed of a point B on the disc ?

a
1 m/s
b
2 m/s
c
3 m/s
d
4 m/s

detailed solution

Correct option is D

When the disc is placed on horizontal frictionless surface, it will not roll on the surface but it will simply keep on rotating at point A, where it is placed.We know that v = ωr, where ω = angular speed∴    Linear speed at B = 20 × 0⋅2 = 4 m/s

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Similar Questions

I. Speed of any point on rigid body executing rolling motion can be calculated by the expression ν=rω
where r is the distance of point from instantaneous centre of rotation.
II. Rolling motion of rigid body can be considered as a pure rotation about instantaneous centre of rotation.
Which of the above statement{s} is/are correct? 


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