A gramophone record is revolving with an angular velocity $\omega$. A coin is placed at a distance $r$ from the centre of the record. The static coefficient of friction is $\mu .$ The coin will revolve with the record if
A gramophone record is revolving with an angular velocity $\omega$. A coin is placed at a distance $r$ from the centre of the record. The static coefficient of friction is $\mu .$ The coin will revolve with the record if
- [AIPMT 2010]
- A
$r=\mu g{\omega ^2}$
- B
$r < \frac{{{\omega ^2}}}{{\mu {\rm{g}}}}$
- C
$r \le \frac{{\mu {\rm{g}}}}{{{\omega ^2}}}$
- D
$r \ge \frac{{\mu {\rm{g}}}}{{{\omega ^2}}}$
Similar Questions
A cyclist turns around a curve at $15\, miles/hour$. If he turns at double the speed, the tendency to overturn is
A cyclist turns around a curve at $15\, miles/hour$. If he turns at double the speed, the tendency to overturn is
A car when passes through a convex bridge exerts a force on it which is equal to
A car when passes through a convex bridge exerts a force on it which is equal to
A man is standing on a rough $(\mu = 0.5)$ horizontal disc rotating with constant angular velocity of $5$ $rad/sec.$ At what distance from centre should he stand so that he does not slip on the disc?
A man is standing on a rough $(\mu = 0.5)$ horizontal disc rotating with constant angular velocity of $5$ $rad/sec.$ At what distance from centre should he stand so that he does not slip on the disc?
You may have seen in a circus a motorcyclist driving in verttical loops inside a 'deathwell (a hollow spherical chamber with holes, so the spectators can watch from outside). Explatn clearly why the motorcyclist does not drop down when he is at the uppermost potnt, with no support from below. What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is $25 \;m ?$
You may have seen in a circus a motorcyclist driving in verttical loops inside a 'deathwell (a hollow spherical chamber with holes, so the spectators can watch from outside). Explatn clearly why the motorcyclist does not drop down when he is at the uppermost potnt, with no support from below. What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is $25 \;m ?$
A railway line is taken round a circular arc of radius $1000\ m$ , and is banked by raising the outer rail $h$ $m$ above the inner rail. If the lateral force on the inner rail when a train travels round the curve at $10\ ms^{-1}$ is equal to the lateral force on the outer rail when the train's speed is $20\ ms^{-1}$ . The value of $4g\ tan\theta $ is equal to : (The distance between the rails is $1.5\ m$ )
A railway line is taken round a circular arc of radius $1000\ m$ , and is banked by raising the outer rail $h$ $m$ above the inner rail. If the lateral force on the inner rail when a train travels round the curve at $10\ ms^{-1}$ is equal to the lateral force on the outer rail when the train's speed is $20\ ms^{-1}$ . The value of $4g\ tan\theta $ is equal to : (The distance between the rails is $1.5\ m$ )