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  4. A body of mass 10 kg lies on a rough inclined plane of inclination θ=sin-1(3/5) with the horizontal When a force of 30 N is applied on the block parallel to and upward the plane, the total reaction by the plane on the block is nearly along: <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/e4e20d02a032b3ac44e344dc7c480c46-.png />

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Q. A body of mass $10\, kg$ lies on a rough inclined plane of inclination $\theta=sin^{-1}\frac{3}{5}$ with the horizontal When a force of $30\,N$ is applied on the block parallel to and upward the plane, the total reaction by the plane on the block is nearly along:
image

Laws of Motion

Solution:

image
Frictional force along the in upward direction
$=10\,g\,sin\,\theta-30=30\,N$
$N=log\,cos\,\theta=80\,N$
Direction of $R$ is along $OA$