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Solved: Two masses, m1 = 18.0 kg and m2 = 26.5 kg, are
Chapter 8, Problem 49P(choose chapter or problem)
(III)Two masses, = 18.0 kg and
= 26.5 kg, are connected by a rope that hangs over a pulley (as in Fig. 8–47). The pulley is a uniform cylinder of radius 0.260 m and mass 7.50 kg. Initially, m1 is on the ground and m2 rests 3.00 m above the ground. If the system is now released, use conservation of energy to determine the speed of
just before it strikes the ground. Assume the pulley is frictionless.
Questions & Answers
QUESTION:
(III)Two masses, = 18.0 kg and
= 26.5 kg, are connected by a rope that hangs over a pulley (as in Fig. 8–47). The pulley is a uniform cylinder of radius 0.260 m and mass 7.50 kg. Initially, m1 is on the ground and m2 rests 3.00 m above the ground. If the system is now released, use conservation of energy to determine the speed of
just before it strikes the ground. Assume the pulley is frictionless.
Solution 49P
Step 1 of 4:
An Atwood’s machine is connected to two different masses by a rope that hangs over a pulley. The radius of the pulley is R. The mass m1 is initially at rest and the mass m2 is at a height 3 m from the ground. When m2 is released it will come down and hits the ground. The mass m1 will go up to the same height. We are going to find the final speed of the second mass before it hits the ground. There is no friction between the rope and the pulley.
The mass m1 = 18 kg
The mass m2 = 26.5 kg
The acceleration due to gravity g = 9.8 m/s2
The radius of the pulley R = 0.26 m
The mass of the pulley M = 7.5 kg