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Questions  

An inclined plane makes an angle of 30O with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to

a
g /3
b
2g/3
c
5g/7
d
5g/14

detailed solution

Correct option is D

a=MM+IcmR2××sin⁡θ=MM+25MR2R2×gsin⁡30=5g14

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A solid cylinder of mass 2 kg and radius 50 cm rolls up an inclined plane of angle inclination 300. The centre of mass of cylinder has speed of 4 ms-1. The distance travelled by the cylinder on the inclined surface will be
(Take, g = 10 ms-2 


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