(A) On an unbanked road,the frictional force provides the necessary centripetal force for circular motion. The condition for the cyclist not to slip i

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(A) On an unbanked road,the frictional force provides the necessary centripetal force for circular motion. The condition for the cyclist not to slip is $v^{2} \leq \mu_{s} R g$.Given: $v = 18 \; km/h = 18 \times \frac{5}{18} = 5 \; m/s$,$R = 3 \; m$,$\mu_{s} = 0.1$,and $g = 9.8 \; m/s^{2}$.Calculating the maximum allowed speed squared: $\mu_{s} R g = 0.1 \times 3 \times 9.8 = 2.94 \; m^{2}/s^{2}$.Calculating the actual speed squared: $v^{2} = (5)^{2} = 25 \; m^{2}/s^{2}$.Since $v^{2} > \mu_{s} R g$ $(25 > 2.94)$,the frictional force is insufficient to provide the required centripetal force. Therefore,the cyclist will slip.

Class 11 Physics Newton's Laws of Motion and Friction Circular motion with Friction

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$A$ cyclist speeding at $18 \; km/h$ on a level road takes a sharp circular turn of radius $3 \; m$ without reducing the speed. The coefficient of static friction between the tyres and the road is $0.1$. Will the cyclist slip while taking the turn?

A
Yes,the cyclist will slip.
B
No,the cyclist will not slip.
C
The cyclist will move in a straight line.
D
The cyclist will stop.

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Newton's Laws of Motion and Friction

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Circular motion with Friction

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$A$ motorcyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius $8.0 \ m$,with a minimum speed of $5 \sqrt{5} \ m \ s^{-1}$. The minimum value of the coefficient of friction between the tyres and the wall of the well must be (take $g = 10 \ m \ s^{-2}$):

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$A$ cyclist speeding at $18 \; km/h$ on a level road takes a sharp circular turn of radius $3 \; m$ without reducing the speed. The coefficient of static friction between the tyres and the road is $0.1$. Will the cyclist slip while taking the turn?

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$A$ block $(P)$ is rotating in contact with the vertical wall of a rotor as shown in figures $A$,$B$,and $C$. Find the relation between angular velocities $\omega_A, \omega_B$,and $\omega_C$ such that the block does not slide down. ($R_A < R_B < R_C$ are the radii).

$A$ gramophone record is rotating with an angular velocity $\omega$. $A$ coin is placed at a distance $r$ from the center of the record. The coefficient of static friction is $\mu$. The coin will revolve with the record if .......

$A$ circular road of radius $1000\, m$ has a banking angle of $45^o$. The maximum safe speed of a car having a mass of $2000\, kg$ will be,if the coefficient of friction between the tyre and the road is $0.5$.

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