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The system shown in fig. is given an acc...

The system shown in fig. is given an acceleration a towards left. Assuming all the surfaces to be frictionless, find the normal reactions applied by wedge on the sphere.

Text Solution

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The correct Answer is:
`(5)/(4) mg ; m(a+(3)/(4)g)`
Force acting on sphere are shown in the fig.

`Sigma F_(x)=N_(2)-N_(1) sin 37^(@)=ma` ..(i)
`Sigma F_(y)=N_(1) cos 370^(@)-mg=0` …(ii)
Thus, `N_(1)=(mg)/(cos 37^(@))=(5)/(4) mg`
from eq. (i)
`ma+((5)/(4)mg) xx ((3)/(5)) = m(a+(3)/(4)g)`.
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