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A block is placed on a smooth inclined p...

A block is placed on a smooth inclined plane as shown . For what value of horizontal force F, the block will remain at rest ?

A

`mg tan theta`

B

`mg sin theta`

C

`mg cos theta`

D

` mg cot theta`

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 smooth inclined plane of inclination theta with the horizontal. The force exerted by the plane on the block has a magnitude

    A
    mg
    B
    `mg/costheta`
    C
    `mg costheta`
    D
    `mg tantheta`

  • A block rests on a rough inclined plane as shown in figure. A horizontal force F is applied to it- (a) Reaction on the block is Fsintheta+mgcostheta (b) Frictional force is zero when Fcostheta=mgsintheta (c) The value of limiting friction in mu(mgsintheta+Fcostheta) (d)The value of limiting friction is mu(mgsintheta-Fcostheta)

    A
    a, b
    B
    c, d
    C
    b, d
    D
    b, c

  • A block of mass m=4kg is placed oner a rough inclined plane as shown in figure. The coefficient of friction between the block and the plane is mu=0.5 . A force F=10N is applied on the block at an angle of 30^(@) .

    A
    static in nature in the direction up the plane and have the value `30.2N`
    B
    static in nature in the direction down the plane and have the value `30.2N`
    C
    kinetic in nature in the direction up the plane and have the value `30.2N`
    D
    None of these

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