A motor car has a width of 1.1 m between its | vedclass

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

Question

(C) For a car moving on a horizontal circular path,the limiting factor for speed is either skidding or overturning.$1$. Condition for skidding: The ce

Vedclass · Accepted Answer

$10.84$

Vedclass · Answer

(C) For a car moving on a horizontal circular path,the limiting factor for speed is either skidding or overturning.$1$. Condition for skidding: The centripetal force is provided by friction,so $mv^2/r \leq \mu mg$,which gives $v \leq \sqrt{\mu gr}$.Substituting the values: $v = \sqrt{0.8 	imes 9.8 	imes 15} = \sqrt{117.6} \approx 10.84 \ m/s$.$2$. Condition for overturning: The car will overturn if the torque due to centripetal force about the outer wheels exceeds the torque due to gravity. The condition is $v \leq \sqrt{gr(w/2h)}$,where $w = 1.1 \ m$ and $h = 0.62 \ m$.$v \leq \sqrt{9.8 	imes 15 	imes (1.1 / (2 	imes 0.62))} = \sqrt{147 	imes 0.887} \approx \sqrt{130.4} \approx 11.42 \ m/s$.Since the speed must satisfy both conditions,the maximum safe speed is the smaller of the two values,which is $10.84 \ m/s$.

Similar Questions

Find the maximum velocity for skidding for a car moved on a circular track of radius $100 \, m$. The coefficient of friction between the road and tyre is $0.2$.

$A$ gramophone record is revolving with an angular velocity $\omega$. $A$ coin is placed at a distance $r$ from the centre of the record. The static coefficient of friction is $\mu$. The coin will revolve with the record if

$A$ car of mass $800 \, kg$ moves on a circular track of radius $40 \, m$. If the coefficient of friction is $0.5$,then the maximum velocity with which the car can move is ......... $m/s$.

If a cyclist moving with a speed of $4.9 \, m/s$ on a level road can take a sharp circular turn of radius $4 \, m$,then the coefficient of friction between the cycle tyres and the road is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module