Two masses, A and B, lie on a frictionless table, as shown. They are attached to either end of a light rope of length L¡ which passes around a pulley of negligible mass. The pulley is attached to a rope of length L2 connected to a hanging mass, C. Find the acceleration of each mass (You can check whether or not your answer is reasonable by considering special cases for instance, the cases M4 = 0, or MA = MB = Mc.) Hints: the constraints are: Xc - Xp = L2 (constant) and (Xp- Xa) +(Xp – Xe) = L1 (constant ) P= pulley Me Mc Draw the Free Body Diagram and write equations of motion for each mass. Solve for each acceleration šą, šg, and ëc, as function of MA, Mg , and Mc
Two masses, A and B, lie on a frictionless table, as shown. They are attached to either end of a light rope of length L¡ which passes around a pulley of negligible mass. The pulley is attached to a rope of length L2 connected to a hanging mass, C. Find the acceleration of each mass (You can check whether or not your answer is reasonable by considering special cases for instance, the cases M4 = 0, or MA = MB = Mc.) Hints: the constraints are: Xc - Xp = L2 (constant) and (Xp- Xa) +(Xp – Xe) = L1 (constant ) P= pulley Me Mc Draw the Free Body Diagram and write equations of motion for each mass. Solve for each acceleration šą, šg, and ëc, as function of MA, Mg , and Mc
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Transcribed Image Text:Two masses, A and B, lie on a frictionless table, as shown. They are attached to either end of a light rope of length L, which passes around
a pulley of negligible mass. The pulley is attached to a rope of length L, connected to a hanging mass, C. Find the acceleration of each mass.
(You can check whether or not your answer is reasonable by considering special cases for instance, the cases M4 = 0, or MA = MB = Mɛ.)
MA
Hints: the constraints are:
MB
Xc - Xp = L2 (constant) and (Xp- Xa) +(Xp – Xâ) = L1 (constant )
P= pulley
Mc
Draw the Free Body Diagram and write equations of motion for
each mass. Solve for each acceleration šą, ëg, and ëc, as
function of MA , MB , and Mc
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