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a block of mass m is supported on the front surface of ans bigger block of mass 3m.the frictional coefficient between the surfaces of 2 blocks is mew. Find the minimum magnitude of horizontal force F required to be applied so that m will remain at rest with respect to 3m? I need it's answer in one hour?
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?a block of mass m is supported on the front surface of ans bigger blo...
To determine the minimum horizontal force F required to keep the block of mass m at rest relative to the block of mass 3m, we need to analyze the forces acting on the system.
Understanding the Forces
- The block of mass m experiences gravitational force downward, which is mg.
- The normal force acting on mass m from the block 3m is equal to mg.
- The maximum static frictional force (fs) that can act between the two blocks is given by fs = μN = μ(mg), where μ is the coefficient of friction.
Applying the Horizontal Force
- When a horizontal force F is applied to the larger block (3m), it tends to accelerate both blocks.
- For block m to remain at rest relative to block 3m, the static friction must provide enough force to keep it from sliding off.
Calculating the Acceleration
- The acceleration (a) of the larger block (3m) is given by F / (3m).
- The frictional force must equal the inertial force on mass m due to this acceleration: fs = ma = m(3a).
Setting Up the Equation
- Since fs = μmg, we can equate the frictional force and the inertial force:
μmg = m(3a)
- Simplifying the equation, we find:
a = μg / 3.
Finding the Required Force F
- Now, substituting the value of a back into the equation for the acceleration of the larger block:
F = (3m)(a) = (3m)(μg / 3) = μmg.
Conclusion
- Therefore, the minimum horizontal force F required to keep the block m at rest relative to block 3m is F = μmg.
Understanding the Forces
- The block of mass m experiences gravitational force downward, which is mg.
- The normal force acting on mass m from the block 3m is equal to mg.
- The maximum static frictional force (fs) that can act between the two blocks is given by fs = μN = μ(mg), where μ is the coefficient of friction.
Applying the Horizontal Force
- When a horizontal force F is applied to the larger block (3m), it tends to accelerate both blocks.
- For block m to remain at rest relative to block 3m, the static friction must provide enough force to keep it from sliding off.
Calculating the Acceleration
- The acceleration (a) of the larger block (3m) is given by F / (3m).
- The frictional force must equal the inertial force on mass m due to this acceleration: fs = ma = m(3a).
Setting Up the Equation
- Since fs = μmg, we can equate the frictional force and the inertial force:
μmg = m(3a)
- Simplifying the equation, we find:
a = μg / 3.
Finding the Required Force F
- Now, substituting the value of a back into the equation for the acceleration of the larger block:
F = (3m)(a) = (3m)(μg / 3) = μmg.
Conclusion
- Therefore, the minimum horizontal force F required to keep the block m at rest relative to block 3m is F = μmg.
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?a block of mass m is supported on the front surface of ans bigger block of mass 3m.the frictional coefficient between the surfaces of 2 blocks is mew. Find the minimum magnitude of horizontal force F required to be applied so that m will remain at rest with respect to 3m? I need it's answer in one hour? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about ?a block of mass m is supported on the front surface of ans bigger block of mass 3m.the frictional coefficient between the surfaces of 2 blocks is mew. Find the minimum magnitude of horizontal force F required to be applied so that m will remain at rest with respect to 3m? I need it's answer in one hour? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?a block of mass m is supported on the front surface of ans bigger block of mass 3m.the frictional coefficient between the surfaces of 2 blocks is mew. Find the minimum magnitude of horizontal force F required to be applied so that m will remain at rest with respect to 3m? I need it's answer in one hour?.
?a block of mass m is supported on the front surface of ans bigger block of mass 3m.the frictional coefficient between the surfaces of 2 blocks is mew. Find the minimum magnitude of horizontal force F required to be applied so that m will remain at rest with respect to 3m? I need it's answer in one hour? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about ?a block of mass m is supported on the front surface of ans bigger block of mass 3m.the frictional coefficient between the surfaces of 2 blocks is mew. Find the minimum magnitude of horizontal force F required to be applied so that m will remain at rest with respect to 3m? I need it's answer in one hour? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?a block of mass m is supported on the front surface of ans bigger block of mass 3m.the frictional coefficient between the surfaces of 2 blocks is mew. Find the minimum magnitude of horizontal force F required to be applied so that m will remain at rest with respect to 3m? I need it's answer in one hour?.
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