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Comprehension # 1 If net force on a sy...

Comprehension # 1
If net force on a system in a particular direction is zero (say in horizontal direction), we can apply: `Sigmam_(R )x_(R )= Sigmam_(L)x_(L)`,` Sigmam_(R )v_(R )= Sigmam_(L)v_(L)` and `Sigmam_(R )a_(R ) = Sigmam_(L)a_(L)`
Here `R` stands for the masses which are moving towards right and `L` for the masses towards left, `x` is displacement, `v` is velocity and `a` the acceleration (all with respect to ground).
A small block of mass `m = 1 kg` is placed over a wedge of mass `M = 4 kg` as shown in figure. Mass `m` is released from rest. All surface are smooth. Origin O is as shown.

Final velocity of the wedge is ..........`m//s` :-

A

`sqrt3`

B

`sqrt2`

C

`(1)/(sqrt2)`

D

`(1)/(sqrt3)`

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Knowledge Check

  • Comprehension # 1 If net force on a system in a particular direction is zero (say in horizontal direction) we can apply: Sigmam_(R )x_(R )= Sigmam_(L)x_(L), Sigmam_(R )v_(R )= Sigmam_(L)v_(L) and Sigmam_(R )a_(R ) = Sigmam_(L)a_(L) Here R stands for the masses which are moving towards right and L for the masses towards left, x is displacement, v is veloctiy and a the acceleration (all with respect to ground). A small block of mass m = 1 kg is placed over a wedge of mass M = 4 kg as shown in figure. Mass m is released from rest. All surface are smooth. Origin O is as shown. At the same instant reaction on the wedge from the ground is ........N.

    A
    `42.5`
    B
    `40`
    C
    `43.46`
    D
    None of these

  • Comprehension # 1 If net force on a system in a particular direction is zero (say in horizontal direction) we can apply: Sigmam_(R )x_(R )= Sigmam_(L)x_(L), Sigmam_(R )v_(R )= Sigmam_(L)v_(L) and Sigmam_(R )a_(R ) = Sigmam_(L)a_(L) Here R stands for the masses which are moving towards right and L for the masses towards left, x is displacement, v is veloctiy and a the acceleration (all with respect to ground). A small block of mass m = 1 kg is placed over a wedge of mass M = 4 kg as shown in figure. Mass m is released from rest. All surface are smooth. Origin O is as shown. The block will strike the x-axis at x = ............ m :-

    A
    `4.2`
    B
    `7.6`
    C
    `5.6`
    D
    `6.8`

  • Comprehension # 1 If net force on a system in a particular direction is zero (say in horizontal direction) we can apply: Sigmam_(R )x_(R )= Sigmam_(L)x_(L), Sigmam_(R )v_(R )= Sigmam_(L)v_(L) and Sigmam_(R )a_(R ) = Sigmam_(L)a_(L) Here R stands for the masses which are moving towards right and L for the masses towards left, x is displacement, v is veloctiy and a the acceleration (all with respect to ground). A small block of mass m = 1 kg is placed over a wedge of mass M = 4 kg as shown in figure. Mass m is released from rest. All surface are smooth. Origin O is as shown. Normal reaction between the two blocks at an instant when absolute acceleration of m is 5 sqrt3 m//s^(2) at 60^(@) with horizontal is ......... N. Normal reaction at this instant is making 30^(@) with horizontal :-

    A
    6
    B
    10
    C
    4
    D
    5

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