Question

a car moves along a horizontal curved path the component of its weight along the radius will be​

Answer 1

Answer:

Explanation:

Example: A circular track of radius 300 m is banked at an angle  

12

π

​  

 radian. If the coefficient of friction between wheel of a car and road is 0.2, the maximum safe speed of car is:

Solution:

Maximum velocity,

v  

max

​  

=[(  

1−μtanθ

μ+tanθ

​  

)rg]  

1/2

 

=[(  

1−0.2tan15  

∘

 

0.2+tan15  

∘

 

​  

)300×9.8]  

1/2

 

≃38ms  

−1

Answer 2

Given:

A car moves along a horizontal curved path.

To Find:

The component of its weight along the radius will be?

Solution:

here, it is given that the car moves along a horizontal curved path.

Since, we know that when a car moves along a horizontal curved path i.e., circular path , it needs a centripetal force acting inwards to compensate for the centrifugal force which is acting outwards. This centripetal force is provided by the frictional force between tyres and road which will act towards the center of circular motion. The weight of the car and the people in it , compensate for the normal reaction on the car due to the road.

Hence, component of weight of car along the radius is the normal reaction on the car due to road.