A uniform flexible chain of length L, with mass per unit length A, passes over a small (radius is negligible), frictionless pulley, as shown in figure 1. One side of the chain with length x is tied to a block with mass m. The chain and block are released
A uniform flexible chain of length L, with mass per unit length A, passes over a small (radius is negligible), frictionless pulley, as shown in figure 1. One side of the chain with length x is tied to a block with mass m. The chain and block are released from a rest position at t = 0 s. (Hint: the chain can be treated as a rope with non-negligible mass)
a. Find x such that the chain and the block are in equilibrium. (5 points)
b. Find the acceleration a of the block as a function of x. (10 points)
c. Assume x = L/2 before it is released. Find the length x as a function of
t after it was released. (bonus, 10 points)
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A uniform flexible chain of length L, with mass per unit length A, passes over a small (radius is negligible), frictionless pulley, as shown in figure 1. One side of the chain with length x is tied to a block with mass m. The chain and block are released
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