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Q.

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

2m/s2

b

112m/s2

c

1m/s2

d

none of these

answer is C.

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Detailed Solution

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.