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Byju's Answer

Standard XII

Physics

Constrained Motion : Intuitive Approach

A block of ma...

Question

A block of mass 2 kg slides down the face of a smooth $45^{\circ}$ wedge of mass 9kg as shown in figure. The wedge is placed on a frictionless horizontal surface. Determine the acceleration of the wedge.

2 m/.

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m/.

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1 m/.

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none of these

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Solution

The correct option is C
1 m/.

Lets assure wedge goes right with acceleration a

Nsin $θ = M a$

$\frac{N}{\sqrt{2}} = 9 a$

Constraint

Acceleration perpendicular to wedge remains same.

So

mg cos $θ$ - N =ma sin $θ$ .....(ii)

solving (i) & (ii) a = 1 m/ $s^{2}$ .

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A block of mass 2 kg slides down the face of a smooth 45∘ wedge of mass 9kg as shown in figure. The wedge is placed on a frictionless horizontal surface. Determine the acceleration of the wedge.

The correct option is C 1 m/. Lets assure wedge goes right with acceleration a Nsinθ=Ma N√2=9a Constraint Acceleration perpendicular to wedge remains same. So mg cosθ - N =ma sinθ .....(ii) solving (i) & (ii) a = 1 m/s2.

A block of mass 2 kg slides down the face of a smooth $45^{\circ}$ wedge of mass 9kg as shown in figure. The wedge is placed on a frictionless horizontal surface. Determine the acceleration of the wedge.

The correct option is C
1 m/.

Lets assure wedge goes right with acceleration a

Nsin $θ = M a$

$\frac{N}{\sqrt{2}} = 9 a$

Constraint

Acceleration perpendicular to wedge remains same.

So

mg cos $θ$ - N =ma sin $θ$ .....(ii)

solving (i) & (ii) a = 1 m/ $s^{2}$ .