5. A woman is whirling a 2.75 kg rock attached to a string around in a circle above her head. The rock moves in a horizontal circle with a radius of 16.3 cm with a speed of 3.75 m/s, while the tension force makes a slight angle above the horizontal as shown in the diagram. This arrangement is called a conical pendulum. The rock maintains a constant height of 1.95 m above the ground. The radial (r), tangential (t) and z-directions for circular motion are as indicated on the diagram. a) Determine the radial and z-components of the force of tension Side view Top view b) Determine the magnitude of the tension in the string and the angle that it makes with the horizontal c) The woman then lets go of the string and the rock flies off horizontally (meaning its initial vertical velocity is zero) and falls to the ground, tracing out a parabolic path as it moves through the air. How far horizontally from the woman's feet (Hint: you can do part c without answering parts a and ... and think about what kind of does the rock land?

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5. A woman is whirling a 2.75 kg rock attached to a string around in a circle above her head. The rock moves in a
horizontal circle with a radius of 16.3 cm with a speed of 3.75 m/s, while the tension force makes a slight angle above
the horizontal as shown in the diagram. This arrangement is called a conical pendulum. The rock maintains a constant
height of 1.95 m above the ground.
The radial (r), tangential (t) and z-directions for circular motion are as indicated on the diagram.
a) Determine the radial and z-components of the force of tension
Side view
Top view
b) Determine the magnitude of the tension in the string and the angle that it makes with the horizontal
c) The woman then lets go of the string and the rock flies off horizontally (meaning its initial vertical velocity is zero) and
falls to the ground, tracing out a parabolic path as it moves through the air. How far horizontally from the woman's feet
(Hint: you can do part c without answering parts a and b... and think about what kind of
does the rock land?
motion a parabolic path would imply!)
||
Transcribed Image Text:5. A woman is whirling a 2.75 kg rock attached to a string around in a circle above her head. The rock moves in a horizontal circle with a radius of 16.3 cm with a speed of 3.75 m/s, while the tension force makes a slight angle above the horizontal as shown in the diagram. This arrangement is called a conical pendulum. The rock maintains a constant height of 1.95 m above the ground. The radial (r), tangential (t) and z-directions for circular motion are as indicated on the diagram. a) Determine the radial and z-components of the force of tension Side view Top view b) Determine the magnitude of the tension in the string and the angle that it makes with the horizontal c) The woman then lets go of the string and the rock flies off horizontally (meaning its initial vertical velocity is zero) and falls to the ground, tracing out a parabolic path as it moves through the air. How far horizontally from the woman's feet (Hint: you can do part c without answering parts a and b... and think about what kind of does the rock land? motion a parabolic path would imply!) ||
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