Three blocks are placed at rest on a smooth inclined plane with force acting on m1 parallel to the inclined plane. Find the contact force between m2 and m3.

Question

Three blocks are placed at rest on a smooth inclined plane with force acting on m1 parallel to the inclined plane. Find the contact force between m2 and m3. (A) ((m1+m2+m3) F/m) (B) (m3 F/m+m+m) (C) F-(m1+m2) g (D) None of these

Tardigrade Admin · Accepted Answer

Acceleration of system a=( text Net pushing force / text Total mass ) or a=(F-(m1+m2+m3) g sin θ/(m1+m2+m3)) Equation of motion for m3 N-m3 g sin θ=m3 a or N=m3 g sin θ+m3 (F-(m1+m2+m3) g sin θ/(m1+m2+m3)) =(m3 F/m1+m2+m3)

Q. Three blocks are placed at rest on a smooth inclined plane with force acting on $m_{1}$ parallel to the inclined plane. Find the contact force between $m_{2}$ and $m_{3}$ .

$\frac{( m _{1} + m _{2} + m _{3} ) F}{m}$

$\frac{m _{3} F}{m + m + m}$

$F - (m_{1} + m_{2}) g$

None of these

Q. Three blocks are placed at rest on a smooth inclined plane with force acting on m1​ parallel to the inclined plane. Find the contact force between m2​ and m3​.

m(m1​+m2​+m3​)F​

m+m+mm3​F​

F−(m1​+m2​)g

None of these

Acceleration of system a= Total mass Net pushing force ​ or a=(m1​+m2​+m3​)F−(m1​+m2​+m3​)gsinθ​ Equation of motion for m3​ N−m3​gsinθ=m3​a or N=m3​gsinθ+m3​{(m1​+m2​+m3​)F−(m1​+m2​+m3​)gsinθ​} =m1​+m2​+m3​m3​F​

Q. Three blocks are placed at rest on a smooth inclined plane with force acting on $m_{1}$ parallel to the inclined plane. Find the contact force between $m_{2}$ and $m_{3}$ .

$\frac{( m _{1} + m _{2} + m _{3} ) F}{m}$

$\frac{m _{3} F}{m + m + m}$

$F - (m_{1} + m_{2}) g$