In the given figure find the and acceleration
of B, if instantaneous velocity and acceleration
of A are as shown in the Fig.
A
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Explanation:
We use the fact that string is inextensible and length of string is constant l1+l2+l3+l4= constant differentiate to get
dl1dt+dl2dt+dl3dt+dl4dt=0
vA+vA(−vC)+(−vC)=0
or vC=vA⇒vC=1m/s↑⏐
where vc is velocity of pulley C
Similarly aC=aA
∴aC=2m/s2⏐↓
Now l4+l5=l6
∴dl4dt+dl5dt=dl6dt
∴−vC+(vB)=−vB
∴vB=0.5m/s↑⏐
Similarly, aB=aC2∴aB=1m/s2⏐↓⏐⏐
Hope it helps!!!
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