A uniform solid cylinder of mass 2 kg and radius 0.2 m is released from rest at the top of a semicircular track of radius 0.7 m cut in a block of mass kg as shown in Figure. The block is resting on a smooth horizontal surface and the cylinder rolls down without slipping
Based on the above information, answer the following questions:
The distance moved by the block when the cylinder reaches the bottom of the track is |
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a) |
0.3 m |
b) |
0.5 m |
c) |
0.7 m |
d) |
0.2 m |
A uniform solid cylinder of mass 2 kg and radius 0.2 m is released from rest at the top of a semicircular track of radius 0.7 m cut in a block of mass kg as shown in Figure. The block is resting on a smooth horizontal surface and the cylinder rolls down without slipping
Based on the above information, answer the following questions:
The distance moved by the block when the cylinder reaches the bottom of the track is |
|||||||
a) |
0.3 m |
b) |
0.5 m |
c) |
0.7 m |
d) |
0.2 m |
(d)
As no external force is acting on the system (block+ cylinder) in the horizontal direction, the linear momentum of the system remain conserved in the horizontal direction
As the cylinder reaches the bottommost point of the track, its centre of mass covers a horizontal distance of 0.25 m ( ) w.r.t block towards the right. Let the block move by in backward direction, then