m. Figure 1 In the diagram above: The string connecting m and m2 is massless and stretchless; the pulley is massless and frictionless; m1 is on a horizontal surface; and m2 is hanging from the connecting string.
Two blocks are connected by a massless, stretchless string. One of the blocks is on a horizontal frictionless
surface. The string goes over a massless, frictionless pulley. The second mass simply hangs from the string. Between the
first block and the pulley the string is parallel to the horizontal surface.
a) Draw the free-body diagram for the first block (the one on the surface).
b) Draw the free-body diagram for the second block (the hanging mass).
c) Setup Newton’s second law for the first block.
d) Setup Newton’s second law for the second block.
e) Symbolically, what is the magnitude of m1’s acceleration?
f) Symbolically, what is the magnitude of the tension in the string?
Answer the following questions using the equation you derived in part (e) above.
g) What is the magnitude of m1’s acceleration if m1 is 5.00 kg and m2 is 1.00 kg?
h) What is the magnitude of m1’s acceleration if m1 is 1.00 kg and m2 is 5.00 kg?
i) What is the magnitude of m1’s acceleration if m1 is 3.00 kg and m2 is 3.00 kg?
j) What is the magnitude of m1’s acceleration if m1 is 5.00 kg and m2 is zero?
k) What is the magnitude of m1’s acceleration if m1 is zero and m2 is 1.00 kg?
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