Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 31

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Question 1
4 / -1

A thin wire of length l and mass m is bent in the form of a semicircle, Fig. Its moment of inertia about an axis joining its free ends will be

A

B
zero

C

D

Solution
Question 2
4 / -1

Three rings each of mass P and radius Q are arranged as shown in Fig. The moment of inertia of the arrangement about YY’ will be

A

B

C

D

Solution
Question 3
4 / -1

A thin rod of length L and mass M is bent at the middle point O at an angle of 60^o, Fig. The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

A

B

C

D

Solution
Question 4
4 / -1

Two uniform thin rods each of mass M and length l are placed along X and Y axis with one end of each at the origin. M.I. of the system about Z-axis is

A

B

C

D
zero

Solution
Question 5
4 / -1

Three identical thin rods each of length l and mass M are joined together to form a letter H. What is the moment of inertia of the system about one of the sides of H ?

A

B

C

D

Solution
Question 6
4 / -1

Four spheres of diameter 2α and mass M are placed with their centres on the four corners of a square of side b. Then the moment of inertia of the system about an axis along one of the sides of the square is

A

B

C

D

Solution
Question 7
4 / -1

A particle of mass m is fixed to one end of a light spring of force constant k and unstretched length l. The system is rotated about the other end of the spring with an angular velocity ω, in gravity free space. The increase in length of the spring will be

A

B

C

D
none of these
Question 8
4 / -1

A wheel of mass 8 kg and radius 40 cm is rolling on a horizontal road with angular velocity of 15 rad/s. The moment of inertia of the wheel about its axis is 0.64 kg m². Total KE of wheel is

A
288 J

B
216 J

C
72 J

D
144 J

Solution
Question 9
4 / -1

A constant torque acting on a uniform circular wheel changes its angular momentum from A to 4 A in 4 seconds. The magnitude of the torque is

A
0.75 A

B
4 A

C
A

D
12 A

Solution
Question 10
4 / -1

A man standing on a rotating table is holding two masses at arm’s length. Without moving his arms, he drops the two masses. His angular speed will

A
increase

B
decrease

C
become zero

D
remain constant