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The coefficent of friction mu and the an...

The coefficent of friction `mu` and the angle of friction `lamda ` are related as

A

`sinlamda=mu`

B

`coslamda=mu`

C

`tanlamda=mu`

D

None of these

Text Solution

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The correct Answer is:
C
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Define coefficient of friction and angle of friction and hence derive a relation between them.

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Friction between any two surfaces in contact is the force that opposes the relative motion between them The force of limiting friction (F) between any two surfaces in contact is directly proportional to the normal reaction (R) between them F prop R or F = mu R where mu is coefficient of limiting friction If theta is angle of friction then mu = tan theta The angle of friction in the above question is .

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Friction between any two surfaces in contact is the force that opposes the relative motion between them The force of limiting friction (F) between any two surfaces in contact is directly proportional to the normal reaction (R) between them F prop R or F = mu R where mu is coefficient of limiting friction If theta is angle of friction then mu = tan theta A force of 49N is just able to move a block of wood weighing 10kg on a rough horizontal surface The coefficient of friction is .

Knowledge Check

  • Angle of friction and angle of repose are

    A
    equal to each other
    B
    not equal to each other
    C
    proportional to each other
    D
    None of the above

  • Friction between any two surfaces in contact is the force that opposes the relative motion between them The force of limiting friction (F) between any two surfaces in contact is directly proportional to the normal reaction (R) between them F prop R or F = mu R where mu is coefficient of limiting friction If theta is angle of friction then mu = tan theta The angle of friction in the above question is .

    A
    `34^(@)26'`
    B
    `30^(@)`
    C
    `26^(@) 34'`
    D
    `45^(@)`

  • Friction between any two surfaces in contact is the force that opposes the relative motion between them The force of limiting friction (F) between any two surfaces in contact is directly proportional to the normal reaction (R) between them F prop R or F = mu R where mu is coefficient of limiting friction If theta is angle of friction then mu = tan theta A force of 49N is just able to move a block of wood weighing 10kg on a rough horizontal surface The coefficient of friction is .

    A
    `0.5`
    B
    `4.9`
    C
    `10//49`
    D
    `49//9.8`
    • ERRORLESS -FRICTION-MCQ S
    1. The coefficent of friction mu and the angle of friction lamda are rel...

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    2. A force of 98 N is required to just start moving a body of mass 100 kg...

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    3. A block weighs W is held against a vertical wall by applying a horizon...

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    4. The maximum static frictional force is

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    5. Maximum value of static friction is .

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    6. Pulling force making an angle theta to the horizontal is applied on a ...

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    7. In the figure shown, a block of weight 10 N resting on a horizontal su...

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    8. Two masses A and B of 10 kg and 5 kg, respectively , are connected wit...

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    9. The limiting friction is

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    10. Which is a suitable method to decrease friction

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    11. A uniform rope of length L meters is lying over a table. If the coeffi...

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    12. Which of the following statements is not true

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    13. A block of 1 kg is stopped against a wall by applying a force F perpen...

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    14. A heavy uniform chain lies on a horizontal table-top. If the coefficie...

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    15. The blocks A and B are arranged as shown in the figure. The pulley is ...

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    16. Work done by a frictional force is

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    17. L changes partly from a table which is kept in equilibrium by friction...

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    18. When two surfaces are coated with a lubricant, then they

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    19. A 20 kg block is initially at rest on a rough horizontal surface. A h...

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    20. A block A with mass 100kg is resting on another block B of mass 200kg....

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