A coin,placed on a rotating turntable,slips w | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The centripetal force required for the coin to rotate with the turntable is provided by the static friction force.For the coin to just slip,the re

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(D) The centripetal force required for the coin to rotate with the turntable is provided by the static friction force.For the coin to just slip,the required centripetal force must equal the maximum static friction force $(f_{max} = \mu N = \mu mg)$.Thus,$m \omega^2 r = \mu mg$,which simplifies to $\omega^2 r = \mu g$.Since $\mu$ and $g$ are constant,we have the relation $r \propto \frac{1}{\omega^2}$.Given the initial distance $r_1 = 9 \, cm$ and initial angular velocity $\omega_1 = \omega$,the new angular velocity is $\omega_2 = 3\omega$.Using the proportionality: $\frac{r_2}{r_1} = \left( \frac{\omega_1}{\omega_2} ight)^2$.Substituting the values: $r_2 = 9 	imes \left( \frac{\omega}{3\omega} ight)^2 = 9 	imes \left( \frac{1}{3} ight)^2 = 9 	imes \frac{1}{9} = 1 \, cm$.

$A$ coin,placed on a rotating turntable,slips when it is placed at a distance of $9 \, cm$ from the center. If the angular velocity of the turntable is tripled,it will just slip if its distance from the center is ......... $cm$.

Similar Questions

$A$ car is moving on an overbridge of radius $R$ with a constant speed $v$. As the car is descending on the overbridge from point $B$ to $C$,the normal reaction on it due to the bridge:

$A$ proton of mass $1.6 \times 10^{-27} \, kg$ moves in a circular orbit of radius $0.10 \, m$ under a centripetal force of $4 \times 10^{-13} \, N$. The frequency of revolution of the proton is about:

$A$ particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance $r$. The speed of the particle is

An aircraft executes a horizontal loop at a speed of $720 \; km/h$ with its wings banked at $15^{\circ}$. What is the radius of the loop in $km$?

$A$ motorcycle driver doubles their velocity when taking a turn. The force exerted outwardly will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module