Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 33

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Question 1
4 / -1

Two particles having mass M and m are moving in a circular path having radius R and r. If their time periods are same, then the ratio of angular velocity will be

A

B

C
1

D

Solution
Question 2
4 / -1

A particle of mass m moves along line PC with velocity υ as shown in Fig. What is the angular momentum of the particle about P ?

A
mυl

B
mυL

C
zero

D
mυr
Question 3
4 / -1

A circular disc X of radius R is made from an iron plate of thickness t, and another plate Y of radius 4 R is made from an iron plate of thickness t/4. The ratio of moment of inertia I_Y/I_X is

A
32

B
16

C
1

D
64

Solution
Question 4
4 / -1

A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled, and its K.E. halved, then the new angular momentum is

A
L/4

B
2 L

C
4 L

D
L/2

Solution
Question 5
4 / -1

A particle undergoes uniform circular motion. About which point on the plane of the circle, will the angular momentum of the particle remain conserved ?

A
centre of the circle,

B
on the circumference of the circle,

C
inside the circle,

D
outside the circle
Question 6
4 / -1

Consider a body shown in Fig. consisting of two identical balls, each of mass M connected by a light rigid rod. If an impulse J = MV is imparted to the body at one of its ends, what would be its angular velocity ?

A
V/L

B
2 V/L

C
V/3 L

D
V/4 L

Solution
Question 7
4 / -1

A disc is rolling (without slipping) on a horizontal surface. C is its centre and Q and P are two points equidistant from C, Fig. Let V_P, V_Q, and V_C be the magnitude of velocities of points P, Q and C respectively, then

A
V_Q > V_C > V_P

B
V_Q < V_C < V_P

C
V_Q = V_Q, V_C = 1/2V_P

D
V_Q < V_P < V_C

Solution
Question 8
4 / -1

A child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that the moment of inertia of the system doubles. The kinetic energy of the system now is

A
2 K

B
K/2

C
K/4

D
4 K

Solution
Question 9
4 / -1

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is

A

B

C
2 : 3

D
2 : 1

Solution
Question 10
4 / -1

A body A of mass M while falling vertically downwards under gravity breaks into two parts ; a body B of mass 1/3 M and a body C of mass 2/3 M. The centre of mass of bodies B and C taken together shifts compared to that of body A towards

A
body B

B
body C

C
does not shift

D
depends on height of breaking