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

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2m/s2

112m/s2

1m/s2

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detailed solution

Correct option is C

Suppose a is the acceleration of block w.r.t. wedge.For block:N+mAsin⁡45∘=mgcos⁡45∘ .....(i)For wedge: Nsin⁡45∘=MA .......(ii)From (i) and (ii) A=1m/s2

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

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