An Atwood's machine consists of a 1.060 kg mass and a 1.000 kg mass connected by a string over a massless and frictionless pulley. Use Equation 3 to find the acceleration of the system. Assume that is 9.80 m/s². Show your work.
An Atwood's machine consists of a 1.060 kg mass and a 1.000 kg mass connected by a string over a massless and frictionless pulley. Use Equation 3 to find the acceleration of the system. Assume that is 9.80 m/s². Show your work.
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:3. An Atwood's machine consists of a 1.060kg mass and a 1.000 kg mass connected by a string over a
massless and frictionless pulley. Use Equation 3 to find the acceleration of the system. Assume that g
is 9.80 m/s. Show your work.
4. Suppose that the system in Question 3 has a frictional force of 0.056 N. Use Equation 4 to determine
the acceleration of the system. Show your work.
Transcribed Image Text:Equation 3 states that a force (m2 - m)g equal to the difference in the weight of the two masses acts on
the sum of the masses (m1 + m2) to produce an acceleration a of the system. There will be a frictional
force f in the system that opposes the applied force (m2 -- m1)g. Including the frictional force but moving
it to the other side of the equation gives
(m2 -- m1)g = (m, + m2)a +f
(Eq. 4)
An Atwood's machine is shown in Figure 9-2 where m2 > mı, the mass m1 is initially on the floor, and
m2 is released from rest at distance x above the floor at t=0. Successive positions of the two masses are
shown in Figure 9-2 at later times until the final picture shows m2 as it strikes the floor at some time t after
its release. The relationship between the distance x, the acceleration a of the system, and the time t is
at?
(Eq. 5)
2
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