(A) For the mass to remain stuck to the wall, the force of static friction $(f)$ must balance the gravitational force $(mg)$: $f = mg$.Since $f = \mu

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(A) For the mass to remain stuck to the wall, the force of static friction $(f)$ must balance the gravitational force $(mg)$: $f = mg$.Since $f = \mu N$, where $N$ is the normal force, we have $\mu N = mg$.The normal force is provided by the centripetal force: $N = m\omega^2R$.Substituting $N$ into the friction equation: $\mu (m\omega^2R) = mg$.Solving for $\mu$: $\mu = \frac{g}{\omega^2R}$.Given $g = 10 \ m/s^2$, $\omega = 5 \ rad/s$, and $R = 4 \ m$:$\mu = \frac{10}{5^2 \times 4} = \frac{10}{25 \times 4} = \frac{10}{100} = 0.1$.

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

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$A$ $0.5 \ kg$ mass is in contact against the inner wall of a cylindrical drum of radius $4 \ m$ rotating about its vertical axis. The minimum rotational speed of the drum to enable the mass to remain stuck to the wall (without falling) is $5 \ rad/s$. The coefficient of friction between the drum's inner wall surface and mass is . . . . . . . (Take $g = 10 \ m/s^2$)

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$0.1$
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$0.5$
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$0.7$
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$0.3$

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Newton's Laws of Motion and Friction

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Circular motion with Friction

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DifficultTS EAMCET 2002

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$A$ modern grand-prix racing car of mass $m$ is travelling on a flat track in a circular arc of radius $R$ with a speed $v$. If the coefficient of static friction between the tyres and the track is $\mu_{s},$ then the magnitude of negative lift $F_{L}$ acting downwards on the car is (Assume forces on the four tyres are identical and $g =$ acceleration due to gravity)

DifficultJEE MAIN 2021

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$A$ car has to move on a level turn of radius $450\,m.$ If the coefficient of static friction between the tyre and the road is $\mu = 0.2,$ find the maximum speed the car can take without skidding in $m/s.$

The maximum speed of a car on a road turn of radius $30\,m$; if the coefficient of friction between the tyres and the road is $0.4$; will be ........ $m/s$. (in $.84$)

$A$ car sometimes overturns while taking a turn. When it overturns,which wheel leaves the ground first?

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