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A body is kept on a smooth inclined plan...

A body is kept on a smooth inclined plane having an inclination of 1 in x. Then,

A

slope of inclined plae is `1//x`

B

slope of inclined plane is `(1)/(sqrt(x^(2)-1))`

C

for the body to remain stationary relative to the incline, the incline must be given a horizontal acceleration of `g//sqrt(x^(2)-1)`

D

for the body to remain stationary to the incline, the incline must be offer a normal reaction of `(mgx)/(sqrt(x^(2)-1))`.

Text Solution

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The correct Answer is:
B, C, D
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Knowledge Check

  • A body kept on a smooth inclined plane having inclination 1 in x will remain stationary relative to the inclined plane if the plane is given a horizontal accelertion equal to

    A
    `(g)/(sqrt((x^(2)-1)))`
    B
    `(gx)/(sqrt((x^(2)-1)))`
    C
    `(gsqrt((x^(2)-1)))/(x)`
    D
    `sqrt((x^(2)-1))g`

  • A block is kept on a smooth inclined plane of angle of inclination theta that moves wuth a contact acceleration so that the block does not slide relative to the inclined plane. If the inclined plane stops the normal contact force offered by the plane on the block changes by a factor

    A
    `tan theta`
    B
    `tan ^(2) theta`
    C
    `cos ^(2) theta`
    D
    `cot theta`

  • A body is moving down a long inclined plane of angle of inclination theta . The coefficient of friction between the body and the plane varies as mu - 0.1 x , where x is the distance moved down the plane. The body will have the maximum velocity when it has travelled a distance x given by :

    A
    `x = 10 tan theta`
    B
    `x = 5 tan theta`
    C
    `sqrt(2) cot theta`
    D
    `x = (sqrt(10))/(cottheta)`

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