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:

Question

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" /> (A) OA (B) OB (C) OC (D) OD

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/4facbf3a67fe4a756cb6ed1ed0d5ec22-.png" /> Frictional force along the in upward direction =10 g sin θ-30=30 N N=log cos θ=80 N Direction of R is along OA

Q. A body of mass $10 k g$ lies on a rough inclined plane of inclination $θ = s i n^{- 1} \frac{3}{5}$ 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:

$O A$

$OB$

$OC$

$O D$

Frictional force along the in upward direction
$= 10 g s in θ - 30 = 30 N$

$N = l o g cos θ = 80 N$

Direction of $R$ is along $O A$

Q. A body of mass 10kg lies on a rough inclined plane of inclination θ=sin−153​ with the horizontal When a force of 30N is applied on the block parallel to and upward the plane, the total reaction by the plane on the block is nearly along:

OA

OB

OC

OD