**Problem 340**

For the system of pulleys shown in Fig. P-340, determine the ratio of W to P to maintain equilibrium. Neglect axle friction and the weights of the pulleys.

**Solution 340**

From the lowermost pulley

$\Sigma F_V = 0$

$W = 9P$

$W/P = 9$ *answer*

**Problem 341**

If each pulley shown in Fig. P-340 weighs 36 kg and W = 720 kg, find P to maintain equilibrium.

**Solution 341**

From pulley A

$\Sigma F_V = 0$

$\Sigma F_V = 0$

$3T_1 = 36 + 720$

$3T_1 = 726$

$T_1 = 252 \, \text{ kg}$

From pulley B

$\Sigma F_V = 0$

$3T_2 = 36 + T_1$

$3T_2 = 36 + 252$

$3T_2 = 288$

$T_2 = 96 \, \text{ kg}$

From pulley C

$P = T_2$

Thus, $P = 96 \, \text{ kg}$ *answer*