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A small objective placed on a rotating h...

A small objective placed on a rotating horizontal turn table just slips when it is placed at a distance 4cm from the axis of rotation. If the angular velocity of the trun-table doubled, the objective slip when its distance from the axis of ratation is.

A

1cm

B

2cm

C

4cm

D

8cm

Text Solution

Verified by Experts

The correct Answer is:
A
The object will slip if centripal force `le` "force of friciton" `mromega^(2) ge mu mg` `r omega^(2) ge mug`
`r omega^(2) ge "constant", or ((r_(1))/(r_(2)))=((omega_(2))/(omega_(1)))^(2)`
`(4cm)/(r_(2))=((2omega)/(omega))^(2) therefore r_(2)=1cm`
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