Absolute Dependent Motion Analysis of Two Particles

Learning Goal:

To set up and analyze a system of pulleys with attached masses and solve equations for ratios of distance, speed, and acceleration.

A system of pulleys and masses is shown below.(Figure 1)

Distance mass B moves

The system is released from rest and mass A moves downward a distance of 2.4 ft , and mass B moves a distance x . What is the value of x ?

Express your answer to two significant figures and include the appropriate units.

x=

0.300 ft

Find the speed of mass B for a given speed of mass A The system is released from rest and mass A moves downward at a constant speed of 4.8 ft/s . What is the magnitude of the upward speed of mass B ? Express your answer to two significant figures and include the appropriate units. vB= 0.600 fts   Find the acceleration of mass B for a given acceleration of mass A The system is released from rest and mass A moves downward with an acceleration of 2.0 ft/s2 . What is the magnitude of the upward acceleration of mass B ? Express your answer to two significant figures and include the appropriate units. aB= 0.250 fts2