Final answer:
The torque due to gravity on the beam-block system about the support at the wall is 14.7 Nm.
Step-by-step explanation:
The torque due to gravity on the beam-block system about the support at the wall can be calculated using the formula τ = r x F, where r is the lever arm and F is the force. The leverage arm for the weight can be found by dividing the length of the beam by 2, so the leverage arm is 1.5 m. The force due to gravity can be calculated by multiplying the mass of the block by the acceleration due to gravity (9.8 m/s²), so the force is 1.0 kg x 9.8 m/s² = 9.8 N. Therefore, the torque due to gravity is τ = 1.5 m x 9.8 N = 14.7 Nm.