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The axis of the uniform cylinder in figu...

The axis of the uniform cylinder in figure is fixed. The cylinder is initially at rest. The block of mass M is initially moving to the friction and with speed `v_(1)`. It passes over the cylinder to the dashed position. When it first makes contact with the cylinder, it slips on the cylinder, but the friciton is large enough so that slipping ceases before M loses contacts wtih the cylinder. the cylinder has a radius R and a rotaitonal intertia I

For the entire process the quantitiy (ies) which will remain conserved for the (cylinder+block) system is/ are (anuglar momentum is considered about the cylinder axis)

A

mechanical energy, momentum and angular momentum

B

mechanical energy & angular momentum only

C

momentum & angular momentum only

D

angular momentum only

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The axis of the uniform cylinder in figure is fixed. The cylinder is initially at rest. The block of mass M is initially moving to the friction and with speed v_(1) . It passes over the cylinder to the dashed position. When it first makes contact with the cylinder, it slips on the cylinder, but the friciton is large enough so that slipping ceases before M loses contacts wtih the cylinder. the cylinder has a radius R and a rotaitonal intertia I If omega is final angular velocity of the cylinder, then

    A
    `v_(1)=omegaR`
    B
    `v_(2) = omegaR`
    C
    `v_(1) lt omegaR`
    D
    none

  • The axis of the uniform cylinder in figure is fixed. The cylinder is initially at rest. The block of mass M is initially moving to the friction and with speed v_(1) . It passes over the cylinder to the dashed position. When it first makes contact with the cylinder, it slips on the cylinder, but the friciton is large enough so that slipping ceases before M loses contacts wtih the cylinder. the cylinder has a radius R and a rotaitonal intertia I Assertion : Momentum of the block -cylinder system is conserved Reason: Force of friction between block and cylinder is internal force of block -cylinder system.

    A
    If both (A) and (R) are true and (R) is the correct explanation of (A)
    B
    If both (A) and (R) are true but (R) is not correct explanation
    C
    (if (A) is true but (R) is false
    D
    IF (A) is false and (R) is true

  • A uniform disc of mass M and radius R is initially at rest. Its axis is fixed through O. A block of mass m is moving with speed v_(1) on a frictionless surface passes over the disc to the dotted position. On coming in contact with the disc, it slips on it. The slipping ceases before the block loses contact with the disc, due to the high friction. Now, the velocity of mass m is

    A
    `v_(2)=v_(1)/(1+(M//2m))`
    B
    `v_(2)=v_(1)/(2M)`
    C
    `v_(2)=v_(1)/(1+(M//m))`
    D
    `v_(2)=2v_(1)`

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