Final answer:
To find the tension in the left rope supporting a platform and a turkey in static equilibrium, we use the total weight of the turkey and platform and subtract the given tension in the right rope. The correct tension in the left rope is 100-N. Thus, the correct answer is (b) 100-N.
Step-by-step explanation:
The question involves a static equilibrium problem where we need to find the tension in the left rope supporting a platform and a turkey. Since the system is at rest, the net forces must balance. The weight of the turkey and platform combined is the gravitational force acting downward, which is equal to the mass multiplied by the acceleration due to gravity (g = 9.8 m/s2). The total weight W is W = (14 kg + 6 kg) × 9.8 m/s2 = 196 N. The tensions in the left and right ropes must add up to this total weight.
Given that the tension in the right rope is 96 N, we can calculate the tension in the left rope (Tleft) as follows:
Tleft + Tright = W
Tleft + 96 N = 196 N
Tleft = 196 N - 96 N
Tleft = 100 N
Thus, the correct answer is (b) 100-N.