A sphere of mass m is held between two smooth inclined walls. For sin(37 ° )=(3/5) . The normal reaction of the wall 2 is equal to:

Question

A sphere of mass m is held between two smooth inclined walls. For sin(37 ° )=(3/5) . The normal reaction of the wall 2 is equal to: <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-lsdwy21azwdj.png" /> (A) mg (B) mgsin 74o (C) mgcos 74o (D) None of these

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-lsdwy21a0jrd.png" /> Writing equilibrium equation along the incline of surface 1: ⇒ N2cos 54o-mgcos ⁡ 54o=0 ⇒ N2=mg

Q. A sphere of mass $m$ is held between two smooth inclined walls. For $s in (3 7^{\circ}) = \frac{3}{5}$ . The normal reaction of the wall $2$ is equal to:

$m g$

$m g s in 7 4^{o}$

$m g cos 7 4^{o}$

None of these

Writing equilibrium equation along the incline of surface 1:
$\Rightarrow N_{2} cos 5 4^{o} - m g cos 5 4^{o} = 0$
$\Rightarrow N_{2} = m g$

Q. A sphere of mass m is held between two smooth inclined walls. For sin(37∘)=53​ . The normal reaction of the wall 2 is equal to:

mg

mgsin74o

mgcos74o