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A uniform rod of length 2m and mass 3 kg is pivot at one end. what is the talk t o r q u e due to the weight of the rod when it is horizontal?
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A uniform rod of length 2m and mass 3 kg is pivot at one end. what is ...
Understanding Torque
Torque (τ) is a measure of the rotational force acting on an object about a pivot point. In the case of a uniform rod pivoted at one end, the torque due to its weight can be calculated when the rod is horizontal.
Key Parameters
- Length of the Rod (L): 2 meters
- Mass of the Rod (m): 3 kilograms
- Weight of the Rod (W): The weight can be calculated using the formula W = m * g, where g is the acceleration due to gravity (approximately 9.81 m/s²).
Calculation of Weight
- The weight of the rod:
W = 3 kg * 9.81 m/s² = 29.43 N
Distance from Pivot
- Center of Mass: For a uniform rod, the center of mass is located at its midpoint, which is at 1 meter from the pivot point.
Calculating Torque
- Torque Formula: Torque is calculated using the formula τ = r * F * sin(θ), where:
- r is the distance from the pivot to the point where the force is applied (1 meter).
- F is the force acting (the weight of the rod, 29.43 N).
- θ is the angle between the force and the arm (90 degrees when the rod is horizontal, where sin(θ) = 1).
Final Torque Calculation
- Therefore, the torque due to the weight of the rod is:
τ = 1 m * 29.43 N * 1 = 29.43 N·m
Conclusion
When the rod is in a horizontal position, the torque due to its weight about the pivot point is 29.43 N·m, which tends to rotate the rod downward.
Torque (τ) is a measure of the rotational force acting on an object about a pivot point. In the case of a uniform rod pivoted at one end, the torque due to its weight can be calculated when the rod is horizontal.
Key Parameters
- Length of the Rod (L): 2 meters
- Mass of the Rod (m): 3 kilograms
- Weight of the Rod (W): The weight can be calculated using the formula W = m * g, where g is the acceleration due to gravity (approximately 9.81 m/s²).
Calculation of Weight
- The weight of the rod:
W = 3 kg * 9.81 m/s² = 29.43 N
Distance from Pivot
- Center of Mass: For a uniform rod, the center of mass is located at its midpoint, which is at 1 meter from the pivot point.
Calculating Torque
- Torque Formula: Torque is calculated using the formula τ = r * F * sin(θ), where:
- r is the distance from the pivot to the point where the force is applied (1 meter).
- F is the force acting (the weight of the rod, 29.43 N).
- θ is the angle between the force and the arm (90 degrees when the rod is horizontal, where sin(θ) = 1).
Final Torque Calculation
- Therefore, the torque due to the weight of the rod is:
τ = 1 m * 29.43 N * 1 = 29.43 N·m
Conclusion
When the rod is in a horizontal position, the torque due to its weight about the pivot point is 29.43 N·m, which tends to rotate the rod downward.
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A uniform rod of length 2m and mass 3 kg is pivot at one end. what is the talk t o r q u e due to the weight of the rod when it is horizontal?
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A uniform rod of length 2m and mass 3 kg is pivot at one end. what is the talk t o r q u e due to the weight of the rod when it is horizontal? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A uniform rod of length 2m and mass 3 kg is pivot at one end. what is the talk t o r q u e due to the weight of the rod when it is horizontal? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform rod of length 2m and mass 3 kg is pivot at one end. what is the talk t o r q u e due to the weight of the rod when it is horizontal?.
A uniform rod of length 2m and mass 3 kg is pivot at one end. what is the talk t o r q u e due to the weight of the rod when it is horizontal? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A uniform rod of length 2m and mass 3 kg is pivot at one end. what is the talk t o r q u e due to the weight of the rod when it is horizontal? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform rod of length 2m and mass 3 kg is pivot at one end. what is the talk t o r q u e due to the weight of the rod when it is horizontal?.
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