Final answer:
To support the leg horizontally, a weight of 100.0 N is needed. For a horizontal traction force of 10.0 N, the angle must be 5.74°.
Step-by-step explanation:
To support the leg horizontally, we need to find the weight W. Since the leg has a mass of 10.2 kg, we can use the equation:
Weight = mass × gravitational acceleration
Weight = 10.2 kg × 9.8 m/s² = 100.0 N
Therefore, the weight W needed to support the leg horizontally is 100.0 N.
To calculate the angle θ for a horizontal traction force of 10.0 N, we can use the equation:
Traction force = weight × sin(θ)
10.0 N = 100.0 N × sin(θ)
Solving for θ:
θ = sin⁻¹(10.0 N / 100.0 N) = 5.74°
Therefore, the angle θ must be 5.74°.