A barrel (mass m_Load) is attached to a massless rope, which is attached to a ho

Question

A barrel (mass m_Load) is attached to a massless rope, which is attached to a hook (mass m_Hook), which is attached to the massless cable of a crane. The cable is accelerating up with an acceleration a. What is the tension of the rope? (m_Hook + m_Load) middot (g - a) m_Load middot g m_Hook middot g + m_Load middot a (m_Hook + m_Load) middot (g + a) m_Hook middot (g - a) m_Load middot a m_Load middot (g + a) m_Load middot g + m_Hook middot a What is the tension of the cable? (m_Hook + m_Load) middot (g - a) m_Load middot g + m_Hook middot a m_Hook (g + a) m_Hook middot g + m_Hook middot a m_Hook middot a m_Hook middot g m_Hook middot (g + a) + m_Load middot (g + a) m_Hook middot (g - a)

Explanation / Answer

Here, Tension in rope = Load + F

                                     = (mLoad * g) + (mLoad * a)

                                     =   mLoad * (g + a)

Tension in cable =   mLoad * (g + a) + mHook * (g + a)

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