Two objects are connected by a string that passes over a frictionless pulley as in the figure below, where m1 < m2 and a1 and a2 are the

Question

Two objects are connected by a string that passes over a frictionless pulley as in the figure below, where m1 < m2 and a1 and a2 are the respective magnitudes of the accelerations. Which mathematical statement is true concerning the magnitude of the acceleration a2 of mass m2?

1. a2 = g
2. a2 < g
3. a2 > g
4. a2 > a1
5. a2 < a1

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Kiệt Gia 4 years 2021-08-14T16:30:54+00:00 1 Answers 32 views 0

Answers ( )

  1. Giakhanh
    0
    2021-08-14T16:32:01+00:00
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    Answer:2

    Explanation:

    Given

    m_2>m_1

    and a_1 and a_2 are the acceleration of 1 and 2

    Suppose  T is the Tension

    then for block 2

    m_2g-T=m_2a

    m_2(g-a)=T---1

    For block 1

    T-m_1g=m_1a

    T=m_1(g+a)----2

    equate 1 and 2

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

    a=\frac{m_2-m_1}{m_1+m_2}

    where a=a_1=a_2

    thus we can see that a is less than g

    therefore a_2 < g

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