Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 18

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Weekly Quiz Competition

Question 1
4 / -1

The moment of inertia of a circular disc about an axis which is tangential to the circumference of the disc and parallel to its diameter is

A

B

C

D

Solution
Question 2
4 / -1

A
5 R

B

C

D

Solution
Question 3
4 / -1

A T joint is formed by two identical rods A and B each of mass m and length L in the X – Y plane as shown. Its moment of inertia about axis coinciding with A is

A

B

C

D
None of these

Solution
Question 4
4 / -1

From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

A

B

C

D

Solution
Question 5
4 / -1

Moment of inertia of a disc about an axis which is tangent and parallel to its plane is I. Then the moment of inertia of disc about a tangent, but perpendicular to its plane will be

A

B

C

D

Solution
Question 6
4 / -1

For spheres each of mass M and radius R are placed with their centres on the four corners A , B, C and D of a square of side b. The spheres A and B are hollow and C and D are solids. The moment of inertia of the system about side AD of square is

A

B

C

D

Solution
Question 7
4 / -1

A

B

C

D

Solution
Question 8
4 / -1

Angular momentum L is given by L =p.r. The variation of log Land log p is shown by

A
I

B
II

C
III

D
IV

Solution
Question 9
4 / -1

A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the x-y plane with centre at O and constant angular speed ω. If the angular momentum of the system, calculated about O and P are denoted by L_o and L_p respectively, then

A
L_o and L_p do not vary with time

B
L_o varies with time while L_p remains constant

C
L_o remains constant while L_p varies with time

D
L_o anad L_p both vary with time.

Solution
Question 10
4 / -1

A thin uniform rod, pivoted at O, is rotating in the horizontal plane with constant angular speed ω, as shown in the figure. At time t = 0, a small insect starts from O and moves with constant speed v w.r.t. the rod towards the other end. It reaches the end of the rod at t =T and stops. The angular speed of the system remains ω throughout. The magnitude of the torque |τ| on the system about O, as a function of time is best represented by which plot ?

A

B

C

D

Solution