Question

In the given figure find the and acceleration
of B, if instantaneous velocity and acceleration
of A are as shown in the Fig.
A
​

Answer 1

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!!!