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A roller of radius r = 300 mm and weighing 2000 N is to be pulled over a curb of height 150 mm, as shown in figure by applying a horizontal force F applied to the end of a string wound around the circumference of the roller. What is the magnitude of force F (in N) required to start the roller move over the cub
    Correct answer is '1155'. Can you explain this answer?
    Verified Answer
    A roller of radius r = 300 mm and weighing 2000 N is to be pulled over...
    Referring to the diagram
    cos α = OC/AO = (300 - 150)/300 = 1/2
    ∴ α = 60o
    Now, in AOB,∠OAB = ∠OBA since OA = OB = Radius of roller
    But ∠OAB + ∠OBA = α
    ∴ 2∠OBA = 60o or ∠OBA = 300
    i.e. Reaction makes 30o with the vertical
    ΣV = 0,gives
    R cos30o - 2000 = 0
    ∴ R = 2309.4 N
    ΣH = 0, gives
    F - Rsin 30o = 0 or F
    = 2309.4sin 30o = 1154.7 N
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    Most Upvoted Answer
    A roller of radius r = 300 mm and weighing 2000 N is to be pulled over...
    Referring to the diagram
    cos α = OC/AO = (300 - 150)/300 = 1/2
    ∴ α = 60o
    Now, in AOB,∠OAB = ∠OBA since OA = OB = Radius of roller
    But ∠OAB + ∠OBA = α
    ∴ 2∠OBA = 60o or ∠OBA = 300
    i.e. Reaction makes 30o with the vertical
    ΣV = 0,gives
    R cos30o - 2000 = 0
    ∴ R = 2309.4 N
    ΣH = 0, gives
    F - Rsin 30o = 0 or F
    = 2309.4sin 30o = 1154.7 N
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    A roller of radius r = 300 mm and weighing 2000 N is to be pulled over a curb of height 150 mm, as shown in figure by applying a horizontal force F applied to the end of a string wound around the circumference of the roller. What is the magnitude of force F (in N) required to start the roller move over the cubCorrect answer is '1155'. Can you explain this answer?
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    A roller of radius r = 300 mm and weighing 2000 N is to be pulled over a curb of height 150 mm, as shown in figure by applying a horizontal force F applied to the end of a string wound around the circumference of the roller. What is the magnitude of force F (in N) required to start the roller move over the cubCorrect answer is '1155'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A roller of radius r = 300 mm and weighing 2000 N is to be pulled over a curb of height 150 mm, as shown in figure by applying a horizontal force F applied to the end of a string wound around the circumference of the roller. What is the magnitude of force F (in N) required to start the roller move over the cubCorrect answer is '1155'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A roller of radius r = 300 mm and weighing 2000 N is to be pulled over a curb of height 150 mm, as shown in figure by applying a horizontal force F applied to the end of a string wound around the circumference of the roller. What is the magnitude of force F (in N) required to start the roller move over the cubCorrect answer is '1155'. Can you explain this answer?.
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