Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 34

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Question 1
4 / -1

A solid sphere is rolling on a frictionless surface as shown in Fig, with a translational velocity υ m/s. If it is to climb the inclined surface, then υ should be

A

B

C

D

Solution
Question 2
4 / -1

A horizontal platform is rotating with uniform angular velocity ω around the vertical axis passing through its centre. At some instant of time, a viscous liquid of mass m is dropped at the centre and is allowed to spread out and finally fall. The angular velocity during this period

A
decreases continuously

B
decreases initially and increases again

C
remains unaltered

D
increases continuously
Question 3
4 / -1

Two particles A and B are situated at a distance d = 2 m apart. Particle A has a velocity of u = 10 m/s at an angle of 60^o and particle B has a velocity υ at an angle 30^o as shown in fig. The distance d between A and B is constant. The angular velocity of B with respect to A is

A

B

C

D

Solution
Question 4
4 / -1

The moment of inertia of a thin square plate ABCD of uniform thickness about as axis passing through the centre O and perpendicular to the plate is

A
I₁ + I₂

B
I₃ + I₄

C
I₁ + I₃

D
I₁ + I₂ + I₃ + I₄

Solution
Question 5
4 / -1

Three particles of the same mass lie in the (X, Y) plane, The (X, Y) coordinates of their positions are (1, 1), (2, 2) and (3, 3) respectively. The (X,Y) coordinates of the centre of mass are

A
(1, 2)

B
(2, 2)

C
(1.5, 2)

D
(2, 1.5)

Solution
Question 6
4 / -1

Consider a two-particle system with the particles having masses M₁ and M₂ . If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved so as to keep the centre of mass at the same position?

A

B

C

D

Solution
Question 7
4 / -1

Four particles A, B, C and D of masses m, 2m, 3m and 5m respectively are placed at corners of a square of side x as shown in figure find the coordinate of centre of mass take A at origine of x-y plane.

A

B

C

D

Solution
Question 8
4 / -1

Two blocks of masses 10 kg an 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is :

A
30 m/s

B
20 m/s

C
10 m./s

D
5 m/s

Solution
Question 9
4 / -1

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

A
1⁄2

B
1⁄4

C
2L

D
4L

Solution
Question 10
4 / -1

Three point masses M₁, M₂ and M₃ are located at the vertices of an equilateral triangle of side \'a\'. what is the moment of inertia of the system about an axis along the attitude of the triangle passing through M₁?

A

B

C

D

Solution