Which one of the following statements is incorrect?

  1. Rolling friction is smaller than sliding friction
  2. Limiting value of static friction is directly proportional to normal reactions
  3. Frictional force opposes the relative motion
  4. Coefficient of sliding friction has dimensions of length

Answer (Detailed Solution Below)

Option 4 : Coefficient of sliding friction has dimensions of length
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Agniveer Navy SSR Full Test - 01
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Detailed Solution

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CONCEPT:

  • The property of a surface that opposes the relative motion between two surfaces is called friction.

Friction (f) = μ N

Where μ is the coefficient of friction and N is the normal force

There are three types of friction:

1. Static friction:

  • The friction that exist between object at rest and a rough surface on which it is placed, such friction is termed as static friction.
  • The coefficient of friction due to this friction is called a static friction coefficient.

2. Kinetic friction:

  • The friction between the two surfaces when there is a relative motion between the surfaces then it is called kinetic friction.

3. Rolling friction:

  • When a block is rolling on a surface then the friction acting is called rolling friction.

EXPLANATION:

  • When a block is rolling on a surface then the friction should be enough so that the block can roll on the surface. That’s why the rolling friction is less than the static friction. So statement 1 is correct.

Friction (f) = μ N

  • According to the given above formula, the limiting friction is directly proportional to the normal force on the block. So statement 2 is correct.
  • According to the definition of friction, it opposes the relative motion between two surfaces. So statement 3 is correct.
  • As the coefficient of friction is a constant term which only depend on the surface. It is a dimensionless quantity. So statement 4 is wrong. Hence option 4 is correct.

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