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A vehicle moves safe on a rough, curved ...

A vehicle moves safe on a rough, curved and unbanked road. Then
a) The direction of static friction is radially out wards
b) The direction of static friction is radially inwards
c) The direction of kinetic friction is tangential to curved path
d) Static friction does not exist

A

a and b are correct

B

c and d are correct

C

a and d are correct

D

b and c are correct

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the motion of a vehicle on a rough, curved, and unbanked road. Let's break down the statements one by one. ### Step 1: Understanding the Forces Acting on the Vehicle When a vehicle moves along a curved path, it experiences a centripetal force that acts towards the center of the curve. This force is necessary to keep the vehicle moving in a circular path. ### Step 2: Identifying the Role of Static Friction Static friction is the force that prevents the vehicle from sliding off the road. For a vehicle to maintain its curved path without slipping, static friction must act towards the center of the curve (inward direction). This is because static friction provides the necessary centripetal force. ### Step 3: Analyzing the Statements - **Statement a**: "The direction of static friction is radially outwards." This statement is incorrect because static friction acts inward, not outward. - **Statement b**: "The direction of static friction is radially inwards." This statement is correct because static friction does act towards the center of the curve. - **Statement c**: "The direction of kinetic friction is tangential to the curved path." This statement is also correct. Kinetic friction acts tangentially to the path of motion when there is slipping. - **Statement d**: "Static friction does not exist." This statement is incorrect because static friction is present when the vehicle is moving safely along the curved path. ### Step 4: Conclusion Based on the analysis: - Statement a is incorrect. - Statement b is correct. - Statement c is correct. - Statement d is incorrect. Thus, the correct answer is that statements b and c are correct. ### Final Answer The correct options are **b and c**. ---
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