SaraNextGen.Com

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



Question ID - 101351 | SaraNextGen Top Answer

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

1 Answer
127 votes
Answer Key / Explanation : (d) -

(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

127 votes


127