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Question

When a wheel is rolling on a level road, the direction of frictional force between the wheel and road is in:

The correct answer is

forward direction

Understanding Friction on a Rolling Wheel

When a wheel is rolling on a level road, the interaction between the wheel and the road surface involves friction. Friction is a force that opposes the relative motion or the tendency of relative motion between two surfaces in contact.

The Role of Friction in Rolling

For a wheel to roll forward without slipping, the point of contact between the wheel and the road must momentarily be at rest relative to the road. If there were no friction, the wheel would simply spin in place, and the point of contact would slide backward relative to the road surface.

Consider a wheel that is rolling forward, especially if it is accelerating due to a torque applied (like a driven wheel on a car):

  • The applied torque causes the wheel to rotate.
  • This rotation tends to make the bottom-most point of the wheel move backward relative to the road surface.
  • Static friction acts at the point of contact to prevent this backward slipping.
  • Therefore, the static frictional force acts in the forward direction, pushing on the wheel where it meets the road. This forward force is what propels the wheel and the vehicle forward.

Even if the wheel is rolling at a constant speed on a level road, friction might still be present to counteract small resistive forces like rolling resistance or air resistance, which tend to slow the wheel down. In many basic physics scenarios, when discussing the friction that enables rolling motion, the focus is on the static friction preventing backward slip, which acts forward.

Analyzing the Options

Let's look at the given options in the context of a wheel rolling forward on a level road:

  • backward direction: While friction can act backward (e.g., when a freely rolling wheel is decelerating due to resistance), for a wheel that is being driven forward or initiating rolling, friction acts forward.
  • forward direction: This aligns with the explanation above, where static friction acts forward to prevent backward slip and enable forward rolling, especially when a torque is applied to propel the wheel.
  • depend on speed: The direction of friction primarily depends on the *tendency* of relative motion at the contact point, not directly on the overall speed of the wheel, although speed changes might imply acceleration or deceleration, which affects the tendency for slip.
  • cannot say: We can generally determine the direction of friction based on the physics of rolling motion.

Given the common context of such questions and the role of friction in enabling forward rolling motion (preventing backward slip), the frictional force is in the forward direction.

Conclusion on Friction Direction

When a wheel rolls on a level road, friction plays a crucial role in preventing slip. For typical rolling motion where the wheel moves forward, static friction acts at the point of contact between the wheel and the road. This force is directed forward, opposing the tendency of the bottom surface of the wheel to slide backward relative to the road. This forward frictional force is often what propels the wheel forward.

Scenario Tendency of Slip at Contact Point Direction of Frictional Force Role of Friction
Propelled wheel rolling forward (accelerating) Backward Forward Prevents backward slip, causes forward acceleration
Freely rolling wheel (constant velocity, ideal) None Zero (ideally) N/A
Freely rolling wheel (decelerating due to resistance) Forward Backward Prevents forward slip, causes deceleration
Wheel spinning in place (no rolling) Backward or Forward (depending on spin direction vs ground) Opposite to slip direction Opposes sliding

Based on the most common interpretation where rolling implies progression on the road facilitated by friction, the direction is forward.

Revision Table: Key Concepts

Term Definition/Concept
Rolling Motion Combination of rotation and translation where, in pure rolling, the point of contact is momentarily at rest relative to the surface.
Frictional Force Force opposing relative motion or tendency of motion between surfaces in contact. For rolling without slipping, it's static friction.
Point of Contact The single point (ideally) where the wheel touches the road surface. Its velocity relative to the surface determines the type and direction of friction.

Additional Information on Rolling Friction

It's important to distinguish between static friction, which acts in pure rolling, and kinetic friction, which acts when slipping occurs. The question implies rolling, suggesting static friction is relevant.

The direction of static friction in rolling depends on the external forces and torques acting on the wheel. However, for a wheel rolling forward on a level road, especially when there's propulsion or the wheel is accelerating forward, the friction needed to prevent backward slip at the contact point acts forward.

Real-world rolling also involves "rolling resistance," which is a resistive force that opposes motion. This resistance isn't simple kinetic friction but arises from deformation of the wheel and surface. The net friction force in a real-world scenario can be complex, but the static friction enabling the basic rolling action or acceleration is forward.

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Important Questions from Common forces in mechanics

  1. Which of the following is NOT true about Frictional force?

    A. Friction is the force which opposes the relative motion of two surfaces in contact.

    B. The force of friction that acts when a body is moving (sliding) on a surface is called sliding friction.

    C. Friction in machines wastes energy and also causes wear and tear.

    D. Rolling friction is much more than sliding friction, the use of ball bearings in a machine considerably reduces friction.

  2. Which of the following is a wrong example of friction?

  3. Which one of the following statements about friction is incorrect?

  4. An electric lift with a maximum load of $2000\text{ kg}$ (lift + passengers) starts from rest and accelerates upwards at $0.2\text{ ms}^{-2}$. The frictional force opposing the motion is $3000\text{ N}$. The instantaneous power delivered by the motor when the lift reaches a speed of $1.5\text{ ms}^{-1}$ is:
    (Assume $g = 10\text{ ms}^{-2}$)
  5. The resistive force between a vehicle’s tyres and the road is known as ______.

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