Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 30

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Question 1
4 / -1

Two identical balls each of radius 10 cm are placed touching each other. The distance of their centre of mass from the point of contact is

A
5 cm

B
10 cm

C
15 cm

D
zero
Question 2
4 / -1

The reduced mass of the system of two particles of masses M and 2 M will be

A
M/2

B
2M

C
2/3 M

D
3/2 M

Solution
Question 3
4 / -1

Mass is distributed uniformly over a thin square plate. If two end points of a diagonal are (–2, 0) and (2, 2), what are the coordinates of centre of mass of plate ?

A
(2, 1)

B
(2, 2)

C
(1, 0)

D
(0, 1)

Solution
Question 4
4 / -1

In the above question, where do the fragments P and Q hit the ground from the point of projection ?

A
R, R

B

C

D

Solution
Question 5
4 / -1

A hoop of mass M and radius R is suspended on a peg in a wall. Its moment of inertia about the peg is

A
2 MR²

B
MR²

C

D

Solution
Question 6
4 / -1

M.I. of a thin rod of mass M and length l about an axis through its centre is Ml²/12. Its M.I. about a parallel axis through end of rod is

A

B

C

D

Solution
Question 7
4 / -1

Three point masses, each of mass m are placed at the corners of an equilateral of triangle of side l. Moment of inertia of this system about an axis along one side of triangle is

A

B

C

D

Solution
Question 8
4 / -1

A stone of mass 4 kg is whirled in a horizontal circle of diameter 2 m. If it makes 5 rps, then M.I. of stone about the axis of rotation is

A
1 kg m²

B
16 kg m²

C
64 kg m²

D
4 kg m²

Solution
Question 9
4 / -1

An inclined plane makes an angle of 30^o with the horizontal. A solid sphere rolling down the inclined plane from rest without slipping has a linear acc. equal to

A
5g/14

B
5g/4

C
2g/3

D
g/3

Solution
Question 10
4 / -1

About which axis in the following fig. the moment of inertia of the rectangular lamina is maximum ?

A
1

B
2

C
3

D
4