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Given: Blocks A and B (having masses of m and 2m, respectively) are constrained

ID: 1874982 • Letter: G

Question

Given: Blocks A and B (having masses of m and 2m, respectively) are constrained to move along the smooth surfaces shown in the figure below. Member AB, in the shape of a quarter-circle arc, connects blocks A and B, with AB having a mass that is negligible compared to the masses of A and B. At the position shown, when the center O of the circular arc AB is directly below block B, the system is relcased from rest Find: For this position, determine the acceleration of blocks A and B on release. negligible mass smooth smooth HINT: Note that AB is a two-force member. What does this say about the direction of the reaction forces on blocks A and B due to member AB?

Explanation / Answer

given blocks A and B masses m and 2m

given that the arc is a two foirce member , let this force be T
then
from force balance at the instant the system is rleased from rest is

reaciton force on B = T ( to the right)
accelration of block B = g ( diwnwards)'

reaction force on A = T ( upwards)
acceleration of block B = 0

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