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On an uniform cylinder of mass m and rad...

On an uniform cylinder of mass `m` and radius `R` a constant horizontal force `F` is applied at any point. Choose the correct alternative if cylinder is rolling without slipping in rightward direction

A

If `F` is acting at the centre, force of frictionon cylinder is zero

B

If `F` is acting at the centre, force of friction is acting in backward direction

C

If `F` is acting at a distance of `(R )/(2)` above centre of mass of cylinder, then force of friction is zero

D

If `F` is acting at the highest point of cylinder then force of friction acts in forward direction

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Knowledge Check

  • A solid cylinder of mass M and radius R pure rolls on a rough surface as shown in the figure. Choose the correct alternative (s).

    A
    The acceleration of the centre of mass is `F/(M)`
    B
    The acceleration of the centre of mass is `(2)/(3)F/(M)`
    C
    The friction force on the cylinder acts backward
    D
    The magnitude of the friction force is `F/(3)`

  • A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is

    A
    `F//3m`
    B
    `2F//3m`
    C
    `4F//3m`
    D
    `5F//3m`

  • A uniform solid cylinder having mass M and radius R is pulled by a horiozntal force F acting through the center as shown. The cylinder rolls to the right without slipping. What is the magnitude of the force of friction between the cylinder and the ground?

    A
    F/4
    B
    F/3
    C
    F/2
    D
    2F/3

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