4. 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: you can treat the chain as a rope with non-negligible mass) a. Find x such that the chain and the block are in equilibrium. b. Find the acceleration a of the block as a function of x. Assume x L/2 before it is released. Find the length x as a function of tafter it was released. C. L-X chain tit Block Mass: m Figure 1 X

College Physics
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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4. 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: you can
treat the chain as a rope with non-negligible mass)
a. Find x such that the chain and the block are in equilibrium.
b.
Find the acceleration a of the block as a function of x.
C.
Assume x L/2 before it is released. Find the length x as a function
of t after it was released.
L-X
chain
101.
X
Block
Mass: m
Figure 1
Transcribed Image Text:4. 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: you can treat the chain as a rope with non-negligible mass) a. Find x such that the chain and the block are in equilibrium. b. Find the acceleration a of the block as a function of x. C. Assume x L/2 before it is released. Find the length x as a function of t after it was released. L-X chain 101. X Block Mass: m Figure 1
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