A motorcyclist rides in a horizontal circle a | vedclass

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

Question

(D) For a motorcyclist moving in a horizontal circle inside a cylindrical wall,the forces acting on the motorcyclist are:$1$. The weight $(mg)$ acting

Vedclass · Accepted Answer

$\sqrt{\frac{r g}{\mu}}$

Vedclass · Answer

(D) For a motorcyclist moving in a horizontal circle inside a cylindrical wall,the forces acting on the motorcyclist are:$1$. The weight $(mg)$ acting downwards.$2$. The normal force $(N)$ acting horizontally towards the center,which provides the necessary centripetal force: $N = \frac{mv^2}{r}$.$3$. The frictional force $(f)$ acting upwards,which balances the weight to prevent skidding: $f = mg$.For the motorcyclist not to skid,the frictional force must be less than or equal to the limiting friction: $f \le \mu N$.Substituting the values: $mg \le \mu \left(\frac{mv^2}{r}\right)$.$g \le \frac{\mu v^2}{r}$.$v^2 \ge \frac{rg}{\mu}$.Therefore,the minimum speed is $v_{min} = \sqrt{\frac{rg}{\mu}}$.

Similar Questions

$A$ 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?

How is centripetal force provided while taking a turn on a level circular track?

The normal reaction $N$ for a vehicle of $800 \, kg$ mass,negotiating a turn on a $30^{\circ}$ banked road at maximum possible speed without skidding is $... \times 10^{3} \, kg \cdot m/s^{2}$. [Given $\cos 30^{\circ} = 0.87, \mu_{s} = 0.2$]

$A$ person is driving a vehicle at a uniform speed of $5 \text{ ms}^{-1}$ on a level curved track of radius $5 \text{ m}$. The coefficient of static friction between the tyres and the road is $0.1$. Will the person slip while taking the turn with the same speed? (Take $g = 10 \text{ ms}^{-2}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module