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Two bodies P and Q on a smooth horizontal surface are connected by a light cord....

Question:

Two bodies P and Q on a smooth horizontal surface

Two bodies P and Q on a smooth horizontal surface are connected by a light cord. The mass of P is greater than that of Q. A horizontal force F (of magnitude F) is applied to Q as shown in the figure, accelerating the bodies to the right. Ignore friction between both bodies and the surface. Sketch a free-body diagram for object P and Q. Formulate the 2^nd Newton Law for both objects separately in the x and y directions and determine the acceleration a for both objects, xs Show that the tension in the string T between object P and Q is given by: T = m_p/(m_P+m_Q) F. Show that the tension in the string between object P and Q is given by: T=F in the extreme case of the mass of object Q much smaller than the mass of object P, i.e. m_Q << m_p. Show that the total force in the x-direction on object Q is given by: m_Q/(m_P + m_Q)F.

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