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A block of mass m is placed on a vertica...

A block of mass m is placed on a vertical fixed circular track and then it is given velocity v along the track at position A on track. The coefficient of friction between the block and the track varies with the angle `theta` . If the block moves on track with constant speed then the coefficient of friction is

A

`mu=(sintheta)/(cottheta+(v^(2))/(Rg))`

B

`mu=(sintheta)/(costheta+(v^(2))/(Rg))`

C

`mu=(tantheta)/(costheta+(v^(2))/(Rg))`

D

`mu=(costheta)/(tantheta+(v^(2))/(Rg))`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A block of mass m is placed on a circular track and then it is given a velocity upsilon vertically downwards at position A on track. If block moves on track with constant speed, then

    A
    Coefficient of friction between block and circular track as function of angle `theta` is `mu=(sintheta)/(cottheta+v^(2)/(Rg))`
    B
    Coefficient of friction between block and circular track as function of angle `theta` is `mu=(sintheta)/(costheta+v^(2)/(Rg))`
    C
    Instantaneous power due to friction is `-mgv sin theta`
    D
    Work done from A to C by friction on block will be `-mgR`
  • A block of mass m is placed at rest on an inclination theta to the horizontal.If the coefficient of friction between the block and the plane is mu , then the total force the inclined plane exerts on the block is

    A
    `mg`
    B
    `mu mg cos theta`
    C
    ` mg sin theta`
    D
    `mu mg tan theta`
  • Find the maximum velocity for skidding for a car moved on a circular track of radius 100 m . The coefficient of friction between the road and tyre is 0.2

    A
    `0.14 m//s`
    B
    `140 m//s`
    C
    `1.4 km//s`
    D
    `14 m//s`
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