College

Cable ABC has a length of 5 m. Determine the tension developed in ABC (in N) required for the equilibrium of the 143-kg sack.

Answer :

To determine the tension developed in cable ABC required for the equilibrium of the 143-kg sack, we need to consider the forces acting on the sack and apply the principle of equilibrium.

First, let's draw a free-body diagram of the forces acting on the sack:

where T is the tension in cable ABC.

The weight of the sack (W) is given by:

W = m*g

where m is the mass of the sack and g is the acceleration due to gravity (9.8 m/s^2).

W = 143 kg * 9.8 m/s^2 = 1397.4 N

Since the sack is in equilibrium, the sum of the forces acting on it in the vertical direction must be zero:

T - W = 0

T = W = 1397.4 N

Therefore, the tension developed in cable ABC required for the equilibrium of the 143-kg sack is 1397.4 N.

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