“Vehicle Moving along Curved Horizontal Road” MHT-CET Class 12 Physics Crash Course| Chapter Rotational Dynamics
In this session G.S. Khairnar will discuss the theory and MCQ’s of “Vehicle Moving along Curved Horizontal Road”. The session will be useful for all the aspirants of MHT-CET 2022. The session will be in Marathi and English.
Vehicle Moving along Curved Horizontal Road:-
We know that to produce circular motion centripetal force is necessary. The impact of circular motion can be experienced by centrifugal force also.
When we are travelling /driving on curved horizontal road, we are performing circular motion. Hence we need centripetal force and centrifugal force. The motion of vehicle should be balanced by these forces. The speed of vehicle on the curved road depends upon the curvature of road and the existence of frictional forces between tyres of vehicle and surface of road.
Centripetal force acting on the vehicle is given as
Maximum safety speed on curved banked road:
Consider a vehicle of mass ‘m’ moves along a horizontal curved road of radius ‘R’. It performs circular motion on road as shown in fig.
For circular motion necessary centripetal force is provided by the force of friction between the tyres of vehicle and surface of road.
Force of friction = μmg ………(1)
Where μ=coefficient of static friction
To maintain circular motion along the curved horizontal road,
Centripetal force = Force of friction
The maximum speed of a vehicle depends upon the
- coefficient of friction
- radius of curvature and
- acceleration due to gravity
The force of friction is not reliable. Its magnitude decreases when the road becomes wet due to rains or when oil falls on the road. Thus force of friction will not be able to produce necessary centripetal force and vehicle will skid off. Hence banking of road is necessary.
Vehicle Moving along Curved Horizontal Road:-
Let’s solve the following MCQs……
Q.1) The maximum safety speed of vehicle moving along curved horizontal road depends upon……
a) mass of vehicle
b) size of vehicle
c) atmospheric conditions
d) radius of curvature of road
Answer
d) radius of curvature of road
Q.2) Maximum safety speed of vehicle moving along curved road is……….
a) directly proportional to root of radius of curvature
b) directly proportional to root of mass of vehicle
c) inversly proportional to root of radius of curvature
d) inversly proportional to root of mass of vehicle
Answer
a) directly proportional to root of radius of curvature
Q.3) Safety speed of vehicle moving along curved road is independent of ……….
a) radius of curvature
b) acceleration due to gravity
c) coefficient of friction
d) mass of vehicle
Answer
d) mass of vehicle
Q.4) Motorcyclist of mass 120 kg moving along curved horizontal road of curvature 120 m with velocity of 72 kmph. The coefficient of friction is ……….
a) 0.14
b) 0.34
c) 0.54
d) 0.74
Answer
b) 0.34
Q.5) Car of mass moving along curved horizontal road of curvature 2 km. If the coefficient of friction between road surface and tyres of vehicle are 0.22, maximum velocity of car so that it should not topple from the surface of road is ……….
a) 66 m/s
b) 56 m/s
c) 46 m/s
d) 36 m/s
Answer
a) 66 m/s
Q.6) Maximum safety speed of vehicle moving along curved horizontal road is 45 m/s. What could be the radius of curvature of road if the coefficient of friction is 0.25……….
a) 824.5 m
b) 825.5 m
c) 826.5 m
d) 827.5 m
Answer
c) 826.5 m
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