Q.

A solid disc of radius ‘a’ and mass ‘m’ rolls down without slipping on an inclined plane making an angle θ with the horizontal. The acceleration of the disc will be 2bg  sinθ where b is ____. (round off to the nearest Integer) (g = acceleration due to gravity, θ= angle as shown in figure.)

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a

7

b

10

c

3

d

5

answer is D.

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Detailed Solution

a=gsinθ1+k2r2

 For disc, k2r2=12

a=gsinθ3/2=23gsinθ=2bgsinθ

b=3

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A solid disc of radius ‘a’ and mass ‘m’ rolls down without slipping on an inclined plane making an angle θ with the horizontal. The acceleration of the disc will be 2bg  sinθ where b is ____. (round off to the nearest Integer) (g = acceleration due to gravity, θ= angle as shown in figure.)