Questions
A disc of radius r is rotating about its center with an angular speed . It is gently placed on a rough horizontal surface. After what time it will start pure rolling?
detailed solution
Correct option is B
Given radius of disc= rAngular speed= ω0Applying law of conservation of angular momentum about a point on the horizontal surface,Iω0=mvr+Iω⇒mr22ω0=mvr+mr22vr⇒v=ω0r3Velocity of center of disc when it starts pure rolling isω0r3 From v=u+at⇒v=at⇒t=va(∵a=μg)⇒t=ω0r3μgTalk to our academic expert!
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