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Ice cream balance is attached to the feeling of a left when the left is that rest string balance free 349 of a body hands on it if the left move upward with an acceleration of 5 m/s and with a velocity constant what will be the rating of a balance in each case?
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Ice cream balance is attached to the feeling of a left when the left i...
Understanding the Problem
To analyze the forces acting on the ice cream balance with the left hand moving upward, we must consider two scenarios: when the left hand is accelerating and when it is moving at a constant velocity.
1. Left Hand Accelerating Upward (5 m/s²)
- The balance experiences a net force due to the upward acceleration.
- According to Newton's second law, \( F = ma \):
- If \( m \) is the mass of the ice cream, the force due to acceleration will be \( F_a = m \times 5 \).
- The total upward force on the balance (Tension, T) must counteract the weight of the ice cream (mg) and the additional force due to acceleration:
- \( T = mg + F_a = mg + m \times 5 = m(g + 5) \).
2. Left Hand at Constant Velocity
- When the left hand moves at a constant velocity, the acceleration is zero (a = 0).
- The only force acting on the balance is the weight of the ice cream:
- \( T = mg \).
- Since there is no net force acting in the vertical direction, the rating of the balance remains constant.
Conclusion
- **Rating with acceleration:** \( m(g + 5) \) (increases due to acceleration).
- **Rating with constant velocity:** \( mg \) (remains constant).
This illustrates how different motions influence the balance's readings.
To analyze the forces acting on the ice cream balance with the left hand moving upward, we must consider two scenarios: when the left hand is accelerating and when it is moving at a constant velocity.
1. Left Hand Accelerating Upward (5 m/s²)
- The balance experiences a net force due to the upward acceleration.
- According to Newton's second law, \( F = ma \):
- If \( m \) is the mass of the ice cream, the force due to acceleration will be \( F_a = m \times 5 \).
- The total upward force on the balance (Tension, T) must counteract the weight of the ice cream (mg) and the additional force due to acceleration:
- \( T = mg + F_a = mg + m \times 5 = m(g + 5) \).
2. Left Hand at Constant Velocity
- When the left hand moves at a constant velocity, the acceleration is zero (a = 0).
- The only force acting on the balance is the weight of the ice cream:
- \( T = mg \).
- Since there is no net force acting in the vertical direction, the rating of the balance remains constant.
Conclusion
- **Rating with acceleration:** \( m(g + 5) \) (increases due to acceleration).
- **Rating with constant velocity:** \( mg \) (remains constant).
This illustrates how different motions influence the balance's readings.
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Ice cream balance is attached to the feeling of a left when the left is that rest string balance free 349 of a body hands on it if the left move upward with an acceleration of 5 m/s and with a velocity constant what will be the rating of a balance in each case?
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Ice cream balance is attached to the feeling of a left when the left is that rest string balance free 349 of a body hands on it if the left move upward with an acceleration of 5 m/s and with a velocity constant what will be the rating of a balance in each case? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ice cream balance is attached to the feeling of a left when the left is that rest string balance free 349 of a body hands on it if the left move upward with an acceleration of 5 m/s and with a velocity constant what will be the rating of a balance in each case? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ice cream balance is attached to the feeling of a left when the left is that rest string balance free 349 of a body hands on it if the left move upward with an acceleration of 5 m/s and with a velocity constant what will be the rating of a balance in each case?.
Ice cream balance is attached to the feeling of a left when the left is that rest string balance free 349 of a body hands on it if the left move upward with an acceleration of 5 m/s and with a velocity constant what will be the rating of a balance in each case? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ice cream balance is attached to the feeling of a left when the left is that rest string balance free 349 of a body hands on it if the left move upward with an acceleration of 5 m/s and with a velocity constant what will be the rating of a balance in each case? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ice cream balance is attached to the feeling of a left when the left is that rest string balance free 349 of a body hands on it if the left move upward with an acceleration of 5 m/s and with a velocity constant what will be the rating of a balance in each case?.
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