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The axis of a cylinder of radius R and m...

The axis of a cylinder of radius R and moment of inertia about its axis I is fixed at centre O as shown in figure - 5.73 . Its highest point A is in level with two plane horizontal surfaces . A block of mass M is initially moving to the right without friction with speed `v_(1)` . It passes over the cylinder to the dotted position . calculate the speed `v_(2)` in the dotted position and the angular velocity acquired by the cylinder . if at the time of detaching from cylinder block stops slipping on it .
`[(v_(1))/(1 + (I)/(MR^(2))) , (v_(1))/(R(1 + (I)/(MR^(2))))]`

Answer

Step by step text solution for The axis of a cylinder of radius R and moment of inertia about its axis I is fixed at centre O as shown in figure - 5.73 . Its highest point A is in level with two plane horizontal surfaces . A block of mass M is initially moving to the right without friction with speed v_(1) . It passes over the cylinder to the dotted position . calculate the speed v_(2) in the dotted position and the angular velocity acquired by the cylinder . if at the time of detaching from cylinder block stops slipping on it . [(v_(1))/(1 + (I)/(MR^(2))) , (v_(1))/(R(1 + (I)/(MR^(2))))] by PHYSICS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • A cylinder of 500 g and radius 10 cm has moment of inertia about an axis passing through its centre and parallel to its length is

    A
    `2.5xx10^(-3)kg m^(2)`
    B
    `2xx10^(-3)kg m^(2)`
    C
    `5xx10^(-3)kg m^(2)`
    D
    `3.5xx10^(-3)kg m^(2)`

  • A solid cylinder has mass M radius R and length / its moment of inertia about an axis passing through its centre and perpendicular to its own axis is

    A
    `(2MR^(2))/(3)+(MI^(2))/(12)`
    B
    `(MR^(2))/(3)+(MI^(2))/(12)`
    C
    `(3MR^(2))/(3)+(MI^(2))/(12)`
    D
    `(MR^(2))/(4)+(MI^(2))/(12)`

  • A solid cylinder has mass M radius R and length / its moment of inertia about an axis passing through its centre and perpendicular to its own axis is

    A
    `(2MR^(2))/(3)+(MI^(2))/(12)`
    B
    `(MR^(2))/(3)+(MI^(2))/(12)`
    C
    `(3MR^(2))/(3)+(MI^(2))/(12)`
    D
    `(MR^(2))/(4)+(MI^(2))/(12)`

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