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A wedge is moving rightwards on which a ...


A wedge is moving rightwards on which a block of mass 10 kg is placed on it. Friction coefficient between the eedge and the block is 0.8. Select correct alternative (s) among the following options. [take `g=10(m)/(s^(2))`]

A

if wedge is moving with constant velocity then friction acting on block is 64N.

B

if wedge is moving with cosntant velocity then acceleration of block is zero.

C

if wedge is moving with `veca=2(veci)(m)/(s^(2))` then friction acting on block is 44N.

D

if wedge is moving with `veca=10(veci)(m)/(s^(2))` then friction is 20N. Downward on the block along the inclined.

Text Solution

Verified by Experts

The correct Answer is:
B, C, D


(A,B) if moving with constant velocity then `a=0`
so friction available `=mumgcostheta`
`=(0.8)(10)(10)((4)/(5))=64N`.
But `mgsintheta=60N`
So required friction is 60 N.
So net force is zero.
`(C)a=2hat(i)f=mgsin37^(@)-macos37^(@)=44N`
`(D)f=mgsin37^(@)-macos37^(@)=-20N`
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Knowledge Check

  • A wedge is moving rightwards on which a block of mass 10kg is placed on it. Friction coefficient between the wedge and the block is 0.8.[ takes g=10m//s^(2)] . Select correct alternative (s) among the following options.

    A
    If wedge is moving with constant velocity then friction acting on block is `64N`.
    B
    If wedge is moving with constant velocity then acceleration of block is zero.
    C
    If wedge is moving with `vec(a)=2(hat(i))m//s^(2)` then friction acting on block is `44N`
    D
    If wedge is moving with `vec(a)=10(hat(i))m//s^(2)` then friction is `20N`, downward on the wedge along the inclined.
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