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JEE Main 202116 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
16 March
Shift
Evening Shift
Subject
Physics
Chapter
Rotational Motion

JEE Main 2021 · 16 March · Evening Shift · Physics · Rotational Motion

A solid disc of radius a and mass m rolls down without slipping on...

A solid disc of radius aa and mass mm rolls down without slipping on an inclined plane making an angle θ\theta with the horizontal. The acceleration of the disc will be 2bgsinθ\dfrac{2}{b}gsin\theta, where bb is _______. (Round off to the Nearest Integer)

(g=g = acceleration due to gravity)

(θ=\theta = angle as shown in figure)

A solid disc of radius a and mass m rolls down without slipping on an inclined plane making an angle θ with the

Correct answer

0

Step-by-step solution

a=gsinθ1+ImR2=gsinθ1+12=23gsinθa = \dfrac{gsin\theta}{1 + \dfrac{I}{{mR}^{2}}} = \dfrac{gsin\theta}{1 + \dfrac{1}{2}} = \dfrac{2}{3}gsin\theta

b=3b = 3

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