A car is moving on a circular path and takes | vedclass

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

Question

(B) When a car takes a turn on a circular path,the centripetal force is provided by the friction between the tires and the road. This creates a torque

Vedclass · Accepted Answer

$R_1 < R_2$

Vedclass · Answer

(B) When a car takes a turn on a circular path,the centripetal force is provided by the friction between the tires and the road. This creates a torque that tends to tilt the car outward.To maintain equilibrium,the normal reaction on the outer wheel increases while the normal reaction on the inner wheel decreases.The reaction on the inner wheel is given by $R_1 = \frac{1}{2}M \left[ g - \frac{v^2 h}{ra} \right]$.The reaction on the outer wheel is given by $R_2 = \frac{1}{2}M \left[ g + \frac{v^2 h}{ra} \right]$.Here,$r$ is the radius of the circular path,$2a$ is the distance between the two wheels,$h$ is the height of the center of gravity of the car,$M$ is the mass,and $v$ is the velocity.Comparing the two expressions,it is clear that $R_1 < R_2$.

$A$ car is moving on a circular path and takes a turn. If $R_1$ and $R_2$ are the reactions on the inner and outer wheels respectively,then:

Similar Questions

$A$ motorcycle is travelling on a curved track of radius $500\,m$. If the coefficient of friction between the road and tyres is $0.5$,the maximum speed to avoid skidding will be ....... $m/s$. (Take $g = 10\,m/s^2$)

What is the maximum safe speed of a car on a flat road of radius $40 \, m$ in $m \, s^{-1}$? The coefficient of friction between the road and the tires is $0.25$. (Take $g = 10 \, m \, s^{-2}$)

The maximum tension which an inextensible ring of mass $0.1\, kg/m$ can bear is $10\,N$. The maximum velocity in $m/s$ with which it can be rotated is ........ $m/s.$

$A$ 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 $m/s.$

Vedclass Test Series

Exam Paper Generator

Online Exam Module