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A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?
  • a)
    For the same F, the value of a does not depend on whether the cylinder is solid or hollow
  • b)
    For a solid cylinder, the maximum possible value of a is 2g
  • c)
    The magnitude of the frictional force on the object due to the ground is always mg
  • d)
    For a thin-walled hollow cylinder, a = F/2m
Correct answer is option 'B,D'. Can you explain this answer?
Most Upvoted Answer
A horizontal force F is applied at the centre of mass of a cylindrical...

For a solid cylinder,

⇒ a = 2F/3m
For hollow cylinder,

⇒ a = F/3m
For solid cylinder
f = F – m x (2F/3m) = (F/3) ≤ μmg
⇒ F ≤ 3μmg
Therefore,
A ≤ (2/3m) x (3μmg)
⇒ amax = 2μg
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A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer?
Question Description
A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer?.
Solutions for A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer?, a detailed solution for A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer? has been provided alongside types of A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A horizontal force F is applied at the centre of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?a)For the same F, the value of a does not depend on whether the cylinder is solid or hollowb)For a solid cylinder, the maximum possible value of a is 2gc)The magnitude of the frictional force on the object due to the ground is always mgd)For a thin-walled hollow cylinder, a = F/2mCorrect answer is option 'B,D'. Can you explain this answer? tests, examples and also practice JEE tests.
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