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A block of mass m is at rest over the ro...

A block of mass m is at rest over the rough surface of the fixed wedge.

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`(A) to (q) " " (B) to (p) " " (C) to (s)" " (D) to (r)`
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A block of mass m is placed on the rough incline of a wedge of mass M and inclination alpha to the horizontal. Calculate the maximum and minimum acceleration that can be imparted to the wedge so that the block may remain stationary relative to the wedge. The coefficient iof friction between the block and the wedge is mu .

A block of mass m is at rest on a rought wedge as shown in figure. What is the force exerted by the wedge on the block?

Knowledge Check

  • A small block of mass m is placed at rest on the top of a smooth wedge of mass M, which in turn is placed at rest on a smooth horizontal surface as shown in figure. It h be the height of wedge and theta is the inclination, then the distacne moved by the wedge as the block reaches the foot of the wedge is

    A
    `(Mhcottheta)/(M+m)`
    B
    (b) `(mhcottheta)/(M+m)`
    C
    (c) `(Mhcosectheta)/(M+m)`
    D
    (d) `(mhcosectheta)/(M+m)`

  • A small block of mass m is kept on the inclined surface of a wedge of mass M. The inclined surface of the wedge makes an angle theta with the horizontal. The wedge is kept on a frictionless rigid horizontal floor. You can neglect friction between the block and the wedge also. An external agent applies a horizontal force F on the wedge. The value of the force F so that the wedge remains at rest is F_(1) . Which of the options is incorrect?

    A
    `F_(1)` is less than mg sin `theta`
    B
    `F_(1)` is less then mg cos `theta`
    C
    `F_(1)` does not depend on M
    D
    It is not possible to keep the wedge at rest

  • A block of mass m is at rest relative to the stationary wedge of mass M. The coefficient of friction between block and wedge is mu . The wedge is now pulled horizontally with acceleration a as shown in figure. Then the minimum magnitude of a for the friction between block and wedge to be zero is:

    A
    `gtantheta`
    B
    `mugtantheta`
    C
    `gcottheta`
    D
    `mugcottheta`

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    For the figure shown, block of mass m is released from the rest. Find the distance of the wedge from initial position, when block m arrives at the bottom of the wedge. All surfaces are frictionless.

    A block of mass m is placed on the inclined sufrace of a wedge as shown in fig. Calculate the acceleration of the wedge and the block when the block is released. Assume all surfaces are frictionless.

    A block of mass 5 kg is at rest on a rough inclined surface. If angle of inclination of plane is 60^(@) , then force applied by it on block is

    For what value of F will the block of mass m remains at rest with respect to the wedge. All surfaces are frictionless.

    A wedge of mass M makes an angle theta with the horizontal. The wedge is placed on horizontal frictionless surface. A small block of mass m is placed on the inclined surface of wedge. What horizontal force F must be applied to the wedge so that the force of friction between the block and wedge is zero ?

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