Systems of Particles and Rotational Motion Test

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Systems of Particles and Rotational Motion Test - 67

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Question 1
4 / -1

A uniform cylinder has a radius R and length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its length, then

A
L = R

B

C

D

Solution
Question 2
4 / -1

The rectangular block shown in the figure is rotated in turn about x – x, y – y and z – z axis passing through its centre of mass O. Its moment of inertia is

A
Same about all the three axis

B
Maximum about z – z axis

C
Equal about x – x and y – y axis

D
Maximum about y – y axis

Solution
Question 3
4 / -1

From an inclined plane a sphere a disc, a ring and a spherical shell are rolled without slipping. The order of their reaching at the base will be

A
Ring, shell, disc, sphere

B
Shell, sphere, disc, ring

C
Sphere, disc, shell, ring

D
Ring, sphere, disc, shell

Solution
Question 4
4 / -1

A wheel of moment of inertia 5 × 10^–3 kg–m² is making 20 revolutions/sec. The torque required to stop it in 10 sec is

A
2π × 10^–2 N–m

B
2π × 10^–2 N–m

C
4π × 10^–2 N–m

D
4π × 10^–2 N–m

Solution
Question 5
4 / -1

If all of a sudden the radius of the earth decreases, then

A
The angular momentum of the earth will become greater than that of the sun

B
The angular speed of the earth will increase

C
The periodic time of the earth will increase

D
The energy and angular momentum will remain constant

Solution
Question 6
4 / -1

A particle of mass m = 5 units is moving with a uniform speed v = 3√2 units in the XOY plane along the straight line Y = X + 4. The magnitude of the angular momentum about origin is

A
Zero

B
60 units

C
75 units

D
40√2 units

Solution
Question 7
4 / -1

A sphere of mass 50 g and diameter 20 cm rolls without slipping with a velocity of 5cm/sec. Its total kinetic energy is

A
625 erg

B
250 erg

C
875 erg

D
875 joule

Solution
Question 8
4 / -1

Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is

A
1 kg-m²

B
0.1 kg-m²

C
2 kg-m²

D
0.2 kg-m²

Solution
Question 9
4 / -1

The moment of inertia of a metre scale of mass 0.6 kg about an axis perpendicular to the scale and located at the 20 cm position on the scale in kg m² is (Breadth of the scale is negligible)

A
0.074

B
0.104

C
0.148

D
0.208

Solution
Question 10
4 / -1

Four thin rods of same mas M and same length l, form a square as shown in figure. Moment of inertia of this system about an axis through centre O and perpendicular to its plane is

A

B

C

D

Solution