Suppose an Atwood machine has a mass of m1 = 6.0 kg and another mass of m2 = 2.0 kg hanging on opposite sides of the pulley. Assume the pull

Question

Suppose an Atwood machine has a mass of m1 = 6.0 kg and another mass of m2 = 2.0 kg hanging on opposite sides of the pulley. Assume the pulley is massless and frictionless, and the cord is ideal. Determine the magnitude of the acceleration of the two objects and the tension in the cord.

in progress 0
Xavia 4 years 2021-08-21T14:56:57+00:00 1 Answers 7 views 0

Answers ( )

  1. kimcuc
    0
    2021-08-21T14:58:35+00:00
    Reply

    Answer:

    Acceleration=4.9 /s^2

    Tension=29.4 N

    Explanation:

    We are given that

    m_1=6 kg

    m_2=2 kg

    We have to find the magnitude of the acceleration of the two objects and the tension in the cord.

    Tension, T=m_1(a+g)

    m_2g-T=m_2a

    Substitute the values

    m_2g-m_1(a+g)=m_2a

    m_2g-m_1a-m_1g=m_2a

    g(m_2-m_1)=m_2a+m_1a=a(m_1+m_2)

    a=\frac{(m_2-m_1)g}{m_1+m_2}

    Substitute the values

    a=\frac{(2-6)\times 9.8}{2+6}=-4.9m/s^2

    Where g=9.8m/s^2

    Hence, the magnitude of the acceleration of the two objects =4.9 m/s^2

    Substitute the values of a

    T=m_1(a+g)=6(-4.9+9.8)=29.4 N

Leave an answer

Browse

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