Many vending machines have a label on them warning of the dangers of trying to tip the machine forward. Fortunately, such machines are so heavy that an average person cannot exert a large enough force to tilt the machines. Suppose a hinge is placed along the front part of the machine's base. With this an additional safety feature, the machine is anchored, so that in the event it tips over it rotates around the hinge rather than tilting forward and sliding backwards. This increases the force with which it falls forward. Now suppose that the machine is tilted forward, so that the center of mass has a horizontal position of 0.250 m to the left of the hinge. A horizontal force is applied 1.50 m above the hinge to prevent the machine from tilting further. If the machine weighs 1960 N, what is the magnitude of the applied force?

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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What's the magnitude of the applied force?

Many vending machines have a label on them warning
of the dangers of trying to tip the machine forward.
Fortunately, such machines are so heavy that an
average person cannot exert a large enough force to tilt
the machines. Suppose a hinge is placed along the
front part of the machine's base. With this an additional
safety feature, the machine is anchored, so that in the
event it tips over it rotates around the hinge rather than
tilting forward and sliding backwards. This increases
the force with which it falls forward. Now suppose that
the machine is tilted forward, so that the center of mass
has a horizontal position of 0.250 m to the left of the
hinge. A horizontal force is applied 1.50 m above the
hinge to prevent the machine from tilting further.
If the machine weighs 1960 N, what is the magnitude of
the applied force?
Transcribed Image Text:Many vending machines have a label on them warning of the dangers of trying to tip the machine forward. Fortunately, such machines are so heavy that an average person cannot exert a large enough force to tilt the machines. Suppose a hinge is placed along the front part of the machine's base. With this an additional safety feature, the machine is anchored, so that in the event it tips over it rotates around the hinge rather than tilting forward and sliding backwards. This increases the force with which it falls forward. Now suppose that the machine is tilted forward, so that the center of mass has a horizontal position of 0.250 m to the left of the hinge. A horizontal force is applied 1.50 m above the hinge to prevent the machine from tilting further. If the machine weighs 1960 N, what is the magnitude of the applied force?
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