Two particles of equal masses are revolving in circular paths of radii ${r_1}$ and ${r_2}$ respectively with the same speed. The ratio of their centripetal forces is
$\frac{{{r_2}}}{{{r_1}}}$
$\sqrt {\frac{{{r_2}}}{{{r_1}}}} $
${\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^2}$
${\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^2}$
The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius $R$ and coefficient of static friction $\mu $, is
A disc revolves with a speed of $33 \frac{1}{3}\; rev/min$, and has a radius of $15 \;cm .$ Two coins are placed at $4\; cm$ and $14 \;cm$ away from the centre of the record. If the co-efficient of friction between the coins and the record is $0.15,$ which of the coins will revolve with the record?
A $100 \,kg$ car is moving with a maximum velocity of $9 \,m/s$ across a circular track of radius $30\,m$. The maximum force of friction between the road and the car is ........ $N$
If a cyclist moving with a speed of $4.9\, m/s$ on a level road can take a sharp circular turn of radius $4 \,m$, then coefficient of friction between the cycle tyres and road is
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 $1.5\ m$ )