Question

40. Three blocks are placed at rest on a smooth inclined plane
with a force acting on mı parallel to the inclined plane. Find
the contact force between m2, and m3.
(a) (m 1+ m2 + m3) F/m3

(b) m3f/(m1 + m2+ m3)

(d) None of these
(C) F-(m1+ m2)g​

Answer 1

${\mathfrak{\blue{\underline{\underline{Solution:-}}}}}$

$\sf{Acceleration\;(a) = \dfrac{F}{m_{1}+m_{2}+m_{3}}}$

$\sf{Forces\;acting\;on\;the\;combination\;of\;m_{1}\;and\;m_{2}:}$

$\sf{F-T=(m_{1}+m_{2})a}$

$\sf{T=F-(m_{1}+m_{2})a}$

$\sf{=F-\bigg(m_{1}+m_{2}\bigg)\;\bigg(\dfrac{F}{m_{1}+m_{2}+m_{3}}\bigg)}$

$\sf{=F\;\bigg(\dfrac{m_{1}+m_{2}+m_{3}-m_{1}-m_{2}}{m_{1}+m_{2}+m_{3}}\bigg)}$

${\boxed{\boxed{\sf{\red{=\dfrac{m_{3}F}{m_{1}+m_{2}+m_{3}}}}}}}$

$\sf{\underline{Hence,(b)\;option\;is\;right.}}$

Answer 2

Answer: the answer is option B

Explanation: