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 right without friction and with speed `v_(1)`. It passes over the cylinder to the dashed position. Whe it first makes contact with the cylinder, it slips on the cylinder, but the friction is large enough so that slipping ceases before M loses contact with the cylinder. The cylinder has a radius R and a rotational inertia I.
If w is final angular velocity of the cylinder, then
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 right without friction and with speed `v_(1)`. It passes over the cylinder to the dashed position. Whe it first makes contact with the cylinder, it slips on the cylinder, but the friction is large enough so that slipping ceases before M loses contact with the cylinder. The cylinder has a radius R and a rotational inertia I.
If w is final angular velocity of the cylinder, then
If w is final angular velocity of the cylinder, then
A
`v_(1)=omegaR`
B
`v_(2)=omegaR`
C
`v_(1)lt omegaR`
D
none
Text Solution
Verified by Experts
The correct Answer is:
A
As slipping ceases before M loses contact with cylinder `v_(2)=omegaR`
|
Topper's Solved these Questions
TEST PAPERS
BANSAL|Exercise Physics, SECTION-1 (PART-A) [MULTIPLE CORRECT CHOICE TYPE]|5 VideosTEST PAPERS
BANSAL|Exercise Physics, SECTION-1 (PART-B) [MATRIX TYPE]|2 VideosTEST PAPERS
BANSAL|Exercise Physics, SECTION-1 (PART-A)|5 VideosPROBABILITY
BANSAL|Exercise All Questions|1 VideosTHERMODYNAMICS
BANSAL|Exercise Match the column|7 Videos
Similar Questions
Explore conceptually related problems
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))))]
In the figure the plank resting on two cylinders is horizontal. The plank is pulled to the right such that the centre of smaller cylinder moves with a constant velocity v . Friction is large enough to prevent slipping at all surfaces. Find- (a) The velocity of the centre of larger cylinder. (b) The ratio of accelerations of the points of contact of the two cylinders with the plank.
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
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.
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
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)
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
Similar Questions
Explore conceptually related problems
A rectangular rigid fixed block has a long horizontal edge. A solid homogeneous cylinder of radius R is placed horizontally at rest with its length parallel to the edge such that the axis of the cylinder and the edge of the block are in the same vertical plane as shown in figure. there is sufficient friction present at the edge so that so that a very small displacement cause the cylinder to roll of the edge without slipping. Determine (a) the angle theta_(C) through which the cylinder rotates before it leaves contact with the edge, (b) the book of the centre of mass of the cylinder before leaving contact with the edge, and ( c) the ratio of the translational to rotational kinetic energyies of the cylinder when its centre of mass is in horizontal line with the edge. .
Consider a cylinder of mass M resting on a rough horizontal rug that is pulled out from under it with acceleration 'a' perpendicular to the axis of the cylinder. What is F_("friction") at point P ? It is assumed that the cylinder does not slip.
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
In the figure shown, the plank is being pulled to the right with a constant speed v . If the cylinder does not slip then: .
Consider a cylinder of mass M resting on a rough horizontal rug that is pulled out from under it with acceleration 'a' perpendicular to the axis of the cylinder. What is F_("friction") at point P? It is assumed that the cylinder does not slip.