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Find the maximum speed with which a car ...

Find the maximum speed with which a car can turn on a bend without skidding, if radius of bend is 20 m and coefficient of friction between the road and the tyres is 0.4.

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To find the maximum speed with which a car can turn on a bend without skidding, we can use the following steps: ### Step 1: Identify the forces acting on the car When a car is turning on a bend, the frictional force between the tires and the road provides the necessary centripetal force to keep the car moving in a circular path. The forces acting on the car include: - The gravitational force (weight) acting downwards: \( mg \) - The normal force acting upwards: \( N \) - The frictional force acting towards the center of the bend: \( f \) ...
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Obtain an expression for the maximum speed with which a car can turn safely on a banked road.

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A cyclist speeding at 4.5"km h"^(-1) on a level road takes a sharp circular turn of radius 3 m without reducing the speed The coefficient of static friction between the road and the tyres is 0.1 will the cyclist slip while taking the turn (i) with a speed of 405"km h"^(-1) and (ii) with a speed of 9 "km k^(-1) ?

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