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Q.

A solid cylinder of mass 2 kg and radius 50cm rolls up an inclined plane of angle inclination 30°. The centre of mass of cylinder has speed of 4 m/s. The distance travelled by the cylinder on the incline surface will be (Take g = 10 m/s2)

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a

1.2 m

b

2.4 m

c

2.2 m

d

1.6 m

answer is D.

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Detailed Solution

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Since
v=2gh1+K2R2

v2=2gh1+12
We know, K2R2=12for solid cylinder
2gh=42 x 32 

h=1210=1.2m

Now, x=hsin30o=1.21/2=2.4m 

x=2.4m

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