1) Accelerating over pulley: Consider the arrangement shown below. The whole system is accelerating. (Assume that the pulley is massless and frictionless. The string is also massless.) (See PSL 5.5,7) Since mass 1 is accelerating upward, choose up as the positive direction for mass 1. Since mass 2 is accelerating downward, choose down as the positive direction for mass 2. This makes the acceleration always positive in all the equations. Avoid lots of sign errors this way. a) Draw FBDs for each mass. b) Use N2L (Newton's 2nd Law) to determine the (i) tension in the string, and (ii) the acceleration. (in terms of m₁, m₂, and g only) m₂

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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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1) Accelerating over pulley: Consider the arrangement shown below. The whole system is accelerating.
(Assume that the pulley is massless and frictionless. The string is also massless.) (See PSL 5.5,7)
Since mass 1 is accelerating upward, choose up as the positive direction for mass 1. Since mass 2
is accelerating downward, choose down as the positive direction for mass 2. This makes the
acceleration always positive in all the equations. Avoid lots of sign errors this way.
a) Draw FBDs for each mass.
b) Use N2L (Newton's 2nd Law) to determine the (i) tension in the string, and (ii) the acceleration. (in
terms of m₁, m₂, and
g only)
m₂
Transcribed Image Text:1) Accelerating over pulley: Consider the arrangement shown below. The whole system is accelerating. (Assume that the pulley is massless and frictionless. The string is also massless.) (See PSL 5.5,7) Since mass 1 is accelerating upward, choose up as the positive direction for mass 1. Since mass 2 is accelerating downward, choose down as the positive direction for mass 2. This makes the acceleration always positive in all the equations. Avoid lots of sign errors this way. a) Draw FBDs for each mass. b) Use N2L (Newton's 2nd Law) to determine the (i) tension in the string, and (ii) the acceleration. (in terms of m₁, m₂, and g only) m₂
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