A weight W $W$ rests on the bar $A B$ as shown in figure. The cable connecting Wand $B$ passes over frictionless pulleys. If bar $A B$ has negligible weight, the vertical component of reaction at $A$ is

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

$W \frac{L - a}{L + a}$

$W \frac{L + a}{L - a}$

$W \frac{L - 2 a}{L + a}$

$W \frac{L - a}{L + 2 a}$

answer is A.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$F B D$ of rod will be as shown below

Summation of moments about $A$ should be zero

$\sum M_{A} = 0 = - T_{B} \times L + (W - T_{B}) \times a = 0 \Rightarrow T_{B} = \frac{W a}{(L + a)}$

Summation of moments about $B$ should be zero

$\sum M_{B} = 0 = (T_{B} - W) \times (L - a) + R_{A V} \times L = 0 \Rightarrow R_{A V} = W (\frac{L - a}{L + A})$

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test