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Questions and Answers
What characteristic of the string ensures that it maintains a constant mass per unit length?
What characteristic of the string ensures that it maintains a constant mass per unit length?
- Gravitational force is negligible
- The string is homogeneous (correct)
- The string exhibits small vertical oscillations
- The string is perfectly elastic
What property of the string allows it to readily return to its original shape without resistance?
What property of the string allows it to readily return to its original shape without resistance?
- Each particle moves vertically only
- The string is perfectly elastic (correct)
- The string is homogeneous
- The gravitational force is negligible
Why can the gravitational force be ignored when analyzing the behavior of the string?
Why can the gravitational force be ignored when analyzing the behavior of the string?
- The oscillations of the string are significantly large
- Each particle of the string moves horizontally only
- The string is homogeneous
- The string experiences large tension due to stretching (correct)
What type of motion do the particles of the string exhibit?
What type of motion do the particles of the string exhibit?
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Which of the following statements is true regarding the behavior of the string?
Which of the following statements is true regarding the behavior of the string?
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Study Notes
Properties of the String
- Homogeneous nature means that the mass per unit length of the string remains constant throughout its length.
- Perfect elasticity indicates that the string can stretch without any resistance to bending, allowing it to return to its original shape after deformation.
Conditions of Motion
- Negligible gravitational force implies that the effects of gravity can be ignored; this is due to the significant tension experienced by the string which overrides gravitational influences.
- Each particle of the string is constrained to move only in the vertical direction, leading to the occurrence of small vertical oscillations in response to disturbances.
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