1

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

A spring mass system (mass m, spring
constant k and natural length $$l$$) rest in
equilibrium on a horizontal disc. The free end
of the spring is fixed at the centre of the disc.
If the disc together with spring mass system,
rotates about it's axis with an angular velocity
$$\omega $$, (k $$ \gg m{\omega ^2}$$) the relative change in the length
of the spring is best given by the option :

2

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

A rod of length L has non-uniform linear mass

density given by $$\rho $$(x) = $$a + b{\left( {{x \over L}} \right)^2}$$ , where a

and b are constants and 0 $$ \le $$ x $$ \le $$ L. The value

of x for the centre of mass of the rod is at :

density given by $$\rho $$(x) = $$a + b{\left( {{x \over L}} \right)^2}$$ , where a

and b are constants and 0 $$ \le $$ x $$ \le $$ L. The value

of x for the centre of mass of the rod is at :

3

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

A uniformly thick wheel with moment of inertia
I and radius R is free to rotate about its centre
of mass (see fig). A massless string is wrapped
over its rim and two blocks of masses m

_{1}and m_{2}(m_{1}$$ > $$ m_{2}) are attached to the ends of the string. The system is released from rest. The angular speed of the wheel when m_{1}descents by a distance h is :4

JEE Main 2020 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Three solid spheres each of mass m and
diameter d are stuck together such that the lines
connecting the centres form an equilateral
triangle of side of length d. The ratio I

_{0}/I_{A}of moment of inertia I_{0}of the system about an axis passing the centroid and about center of any of the spheres I_{A}and perpendicular to the plane of the triangle is :Questions Asked from Rotational Motion (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates
No. of Questions

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