A boy is sitting on the horizontal platform o | vedclass

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

Question

(A) The boy is in circular motion on the platform. The necessary centripetal force is provided by the static friction force between the boy and the pl

Vedclass · Accepted Answer

$0.5$

Vedclass · Answer

(A) The boy is in circular motion on the platform. The necessary centripetal force is provided by the static friction force between the boy and the platform.For the boy to just slip,the maximum static friction must equal the required centripetal force:$f_{max} = F_c$$\mu N = m \omega^2 r$Since the platform is horizontal,the normal force $N = mg$.Substituting this into the equation:$\mu mg = m \omega^2 r$$\mu = \frac{\omega^2 r}{g}$Given values: $\omega = 1 \, rad/s$,$r = 5 \, m$,and $g = 10 \, m/s^2$.$\mu = \frac{(1)^2 	imes 5}{10} = \frac{5}{10} = 0.5$Therefore,the coefficient of friction is $0.5$.

$A$ boy is sitting on the horizontal platform of a joy wheel at a distance of $5 \, m$ from the center. The wheel begins to rotate and when the angular speed exceeds $1 \, rad/s$,the boy just slips. Find the coefficient of friction between the boy and the wheel. (Take $g = 10 \, m/s^2$)

Similar Questions

$A$ cyclist leans at an angle of $30^{\circ}$ with the vertical while negotiating a circular road of radius $20 \sqrt{3} \,m$. The speed of the cycle should be

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

$A$ car is driven on a banked road of radius of curvature $20 \ m$ with maximum safe speed. In order to increase its safe speed by $20 \%$,without changing the angle of banking,the increase in the radius of curvature will be (Assume friction is same on the road). (in $m$)

$A$ car of mass $1500 \ kg$ is moving with a speed of $12.5 \ m/s$ on a circular path of radius $20 \ m$ on a level road. What should be the coefficient of friction between the car and the road,so that the car does not slip?

$A$ 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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module