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Derivations (1) - N ame 1),g,and mass betweenthe M 2)

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Name___________________________________ Derivations and Newton’s Second Law 1)  Derive an expression in terms of  θ , g, and  μ  for the acceleration of a block of  mass      M on an incline set at an angle of  θ  if the coefficient of kinetic friction  between the      block and the incline is  μ . θ M
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2)  A sphere of mass M is attached by a string over a pulley to a block of mass m as         shown below.  Derive an expression for the tension in the string in terms of   M, m,        and g.  (Assume M >>m) M m
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Derive an expression for the acceleration of the masses in terms of M, m, and g.   3)  An object of mass M is being pulled at a constant speed using a constant force        across a horizontal surface.  Derive an expression in terms of M, g, and F for  
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