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4-1.Newton's Laws of Motion
hard
If the block $A$ & $B$ are moving towards each other with acceleration $a$ and $b$. Find the net acceleration of $C$.
A
$a \hat{i} - 2(a+b) \hat{j}$
B
$- (a+b) \hat j$
C
$a \hat{i} - (a+b) \hat{j}$
D
None of these
Solution
From length constraint $l_{1}+l_{2}+l_{3}+l_{4}=C$ $l_{1}^{\prime \prime}+l_{2}^{\prime \prime}+l_{3}^{\prime \prime}+l_{4}^{\prime \prime}=0$
$(-a-b)+0+(-a-b)+c=0$
$c=2 a+2b$
From wedge cosntraints, acceleration of $\mathrm{C}$ is right side is $a.$ Acceleration of $\mathrm{C}$ $w.r.t$ ground $=a \hat{i}-2(a+b) \hat{j}$
Standard 11
Physics
