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Like Tony Stark

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- Homework Statement
- The picture shows a body of mass ##m_1## lying on an inclined surface of mass ##m_2##. Suppose that all surfaces are frictionless. Determine the horizontal accelaration that sould be applied to ##m_2## to keep ##m_1## in equilibrium. Then, suppose that an acceleration twice bigger than the calculated previously is applied to ##m_2##, what's the acceleration of ##m_1## with respect to Earth (inertial system) and with respect to ##m_2##?

- Relevant Equations
- Newton's equations

Here, I have two doubts

1) if the surfaces are frictionless, then there's no force being applied on the ##x' axis## of ##m_1## except from the weight, so it should be sliding, shouldn't it? So, there's no force that I could apply to ##m_2## to keep ##m_1## in equilibrium since any force that I apply on ##m_2## will manifest in the normal force of ##m_1## and this is on the ##y'## axis of ##m_1##.

2) And then I have some problems with "acceleration with respect to...". If I use Newton's equations and I solve for ##a##, that acceleration is with respect to ##m_2## or with respect to Earth?

1) if the surfaces are frictionless, then there's no force being applied on the ##x' axis## of ##m_1## except from the weight, so it should be sliding, shouldn't it? So, there's no force that I could apply to ##m_2## to keep ##m_1## in equilibrium since any force that I apply on ##m_2## will manifest in the normal force of ##m_1## and this is on the ##y'## axis of ##m_1##.

2) And then I have some problems with "acceleration with respect to...". If I use Newton's equations and I solve for ##a##, that acceleration is with respect to ##m_2## or with respect to Earth?