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A smooth wedge of mass M is pushed with ...


A smooth wedge of mass M is pushed with an acceleration `a=gtantheta` and a block of mass m is projected down the slant with a velocity v relative to the wedge.
Q. The normal reaction between wedge and block is:

A

`mgcostheta`

B

`mgsectheta`

C

`mgcottheta`

D

`mgtantheta`

Text Solution

Verified by Experts

The correct Answer is:
B
Normal reaction `N_R=mgcostheta+masintheta`
`N_R=mgcostheta+mg(sin^2theta)/(costheta)=mgsectheta`
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Knowledge Check

  • A smooth wedge of mass M is pushed with an acceleration a=gtantheta and a block of mass m is projected down the slant with a velocity v relative to the wedge. Q. The normal reaction offered by ground to the wedge is:

    A
    `(M+m)g`
    B
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    C
    `Mgsin^2theta+Mg`
    D
    `(M+m)g+mgcos^2theta`

  • A smooth wedge of mass M is pushed with an acceleration a=gtantheta and a block of mass m is projected down the slant with a velocity v relative to the wedge. The horizontal force applied on the wedge is:

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    B
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    C
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    D
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