a particle of 8 kg is suspended by two light inextensible string that are inclined at the angles find the tension in the string when the pa

Question

a particle of 8 kg is suspended by two light inextensible string that are inclined at the angles find the tension in the string when the particle in equilibrium​

in progress 0
Vân Khánh 4 years 2021-08-10T08:37:47+00:00 1 Answers 21 views 0

Answers ( )

  1. Doris
    0
    2021-08-10T08:38:47+00:00
    Reply

    Answer:

    T₁ = mg / (sinθ₁ + cosθ₁tanθ₂)

    Τ₂ = T₁cosθ₁/cosθ₂

    Explanation:

    We are not given the angles, but if we assume that they are θ₁ and θ₂ as measured from the horizontal, and associated tensions are T₁ and T₂, we would need two equations to resolve them.

    summing horizontal forces to zero

    T₁cosθ₁ – Τ₂cosθ₂ = 0

    summing vertical forces to zero

    T₁sinθ₁ + Τ₂sinθ₂ – mg = 0

    Τ₂ = T₁cosθ₁/cosθ₂

    T₁sinθ₁ + (T₁cosθ₁/cosθ₂)sinθ₂ = mg

    T₁(sinθ₁ + cosθ₁tanθ₂) = mg

    T₁ = mg / (sinθ₁ + cosθ₁tanθ₂)

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )