Answer:
τ = 23.34 Nm
Direction = Anti-Clockwise (Positive)
Explanation:
The image of the question is attached in the answer.
First, we will calculate the torque due to force F₁.
τ₁ = F₁ d₁ Sin θ₁
where,
τ₁ = Torque due to F₁ = ?
F₁ = 20 N
d₁ = moment arm of F₁ = 0.5 m
θ₁ = Angle between F₁ and d₁ = 90°
Therefore,
τ₁ = (20 N)(0.5 m)Sin 90°
τ₁ = - 10 Nm
Negative sign due to clockwise direction.
Now, we will calculate the torque due to force F₂.
τ₂ = F₂ d₂ Sin θ₂
where,
τ₂ = Torque due to F₂ = ?
F₂ = 35 N
d₂ = moment arm of F₂ = 1.10 m
θ₂ = Angle between F₂ and d₂ = 120°
Therefore,
τ₁ = (35 N)(1.1 m)Sin 120°
τ₁ = 33.34 Nm
Positive sign due to anti-clockwise direction.
Now, we find net torque on door:
τ = τ₁ + τ₂
τ = - 10 Nm + 33.34 Nm
τ = 23.34 Nm
Direction = Anti-Clockwise (Positive)
