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

$A$ 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 $g = 10 \text{ ms}^{-2}$)

$A$ 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 moving on a horizontal road may be thrown out of the road when taking a turn due to:

$A$ circular road of radius $1000\, m$ has a banking angle of $45^o$. The maximum safe speed of a car having a mass of $2000\, kg$ will be,if the coefficient of friction between the tyre and the road is $0.5$.

$A$ $100 \, kg$ car is moving with a maximum velocity of $9 \, m/s$ across a circular track of radius $30 \, m$. The maximum force of friction between the road and the car is ........ $N$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module