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A door 1.6m wide requires a force of 1N to be applied at the free end to open or close it. the force that is required to be applied at a point 0.4 m distant from the hinges for opening or closing the door is? A. 1.2 N B. 3.6 N C. 4 N?
Verified Answer
A door 1.6m wide requires a force of 1N to be applied at the free end ...
Here, torque τ=1.6x1=1.6N−m So, when d=0.4 m
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A door 1.6m wide requires a force of 1N to be applied at the free end ...
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A door 1.6m wide requires a force of 1N to be applied at the free end ...
Introduction:
To determine the force required to open or close a door at a point 0.4m away from the hinges, we can make use of the principle of moments. The principle of moments states that for an object in rotational equilibrium, the sum of the clockwise moments is equal to the sum of the anticlockwise moments.
Given:
Width of the door (d) = 1.6m
Force applied at the free end (F1) = 1N
Distance of the point from the hinges (D) = 0.4m
Calculating the force required:
To find the force required at the point 0.4m away from the hinges, we can set up a moment equation using the principle of moments.
Moment due to the applied force (M1):
The moment due to the applied force at the free end can be calculated as the product of the force and the perpendicular distance from the hinges to the line of action of the force.
M1 = F1 * d
Moment due to the required force (M2):
The moment due to the required force at the point 0.4m away from the hinges can be calculated as the product of the required force and the perpendicular distance from the hinges to the line of action of the force.
M2 = F2 * D
According to the principle of moments, M1 = M2.
So, F1 * d = F2 * D
Solving for the force required (F2):
Substituting the given values into the equation:
1 * 1.6 = F2 * 0.4
Simplifying the equation:
1.6 = 0.4 * F2
Dividing both sides by 0.4:
F2 = 1.6 / 0.4 = 4N
Conclusion:
Therefore, the force required to be applied at a point 0.4m distant from the hinges for opening or closing the door is 4N (option C).
To determine the force required to open or close a door at a point 0.4m away from the hinges, we can make use of the principle of moments. The principle of moments states that for an object in rotational equilibrium, the sum of the clockwise moments is equal to the sum of the anticlockwise moments.
Given:
Width of the door (d) = 1.6m
Force applied at the free end (F1) = 1N
Distance of the point from the hinges (D) = 0.4m
Calculating the force required:
To find the force required at the point 0.4m away from the hinges, we can set up a moment equation using the principle of moments.
Moment due to the applied force (M1):
The moment due to the applied force at the free end can be calculated as the product of the force and the perpendicular distance from the hinges to the line of action of the force.
M1 = F1 * d
Moment due to the required force (M2):
The moment due to the required force at the point 0.4m away from the hinges can be calculated as the product of the required force and the perpendicular distance from the hinges to the line of action of the force.
M2 = F2 * D
According to the principle of moments, M1 = M2.
So, F1 * d = F2 * D
Solving for the force required (F2):
Substituting the given values into the equation:
1 * 1.6 = F2 * 0.4
Simplifying the equation:
1.6 = 0.4 * F2
Dividing both sides by 0.4:
F2 = 1.6 / 0.4 = 4N
Conclusion:
Therefore, the force required to be applied at a point 0.4m distant from the hinges for opening or closing the door is 4N (option C).
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A door 1.6m wide requires a force of 1N to be applied at the free end to open or close it. the force that is required to be applied at a point 0.4 m distant from the hinges for opening or closing the door is? A. 1.2 N B. 3.6 N C. 4 N?
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A door 1.6m wide requires a force of 1N to be applied at the free end to open or close it. the force that is required to be applied at a point 0.4 m distant from the hinges for opening or closing the door is? A. 1.2 N B. 3.6 N C. 4 N? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A door 1.6m wide requires a force of 1N to be applied at the free end to open or close it. the force that is required to be applied at a point 0.4 m distant from the hinges for opening or closing the door is? A. 1.2 N B. 3.6 N C. 4 N? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A door 1.6m wide requires a force of 1N to be applied at the free end to open or close it. the force that is required to be applied at a point 0.4 m distant from the hinges for opening or closing the door is? A. 1.2 N B. 3.6 N C. 4 N?.
A door 1.6m wide requires a force of 1N to be applied at the free end to open or close it. the force that is required to be applied at a point 0.4 m distant from the hinges for opening or closing the door is? A. 1.2 N B. 3.6 N C. 4 N? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A door 1.6m wide requires a force of 1N to be applied at the free end to open or close it. the force that is required to be applied at a point 0.4 m distant from the hinges for opening or closing the door is? A. 1.2 N B. 3.6 N C. 4 N? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A door 1.6m wide requires a force of 1N to be applied at the free end to open or close it. the force that is required to be applied at a point 0.4 m distant from the hinges for opening or closing the door is? A. 1.2 N B. 3.6 N C. 4 N?.
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