Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 38

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Question 1
4 / -1

In the following questions statement – 1 (Assertion) is followed by statement – 2 (Reason). Each question has the following four choices out of which only one choice is correct.

A
Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1

B
Statement –1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 2 is false, statement – 2 is true
Question 2
4 / -1

Statement –1 — The angular momentum of a particle moving in a circular orbit with a constant speed remains conserved about any point on the circumference of the circle.
Statement – 2— If no net torque outs, the angular momentum of a system is conserved.

A
Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 2 is false, statement – 2 is true
Question 3
4 / -1

Statement – 1 —A thin uniform rod AB of mass M and length L is hinged at one end A to the horizontal floor initially it stands vertically. It is allowed to fall freely on the floor in the vertical plane, The angular velocity of the rod when its ends B strikes the floor √3g/L
Statement – 2 — The angular momentum of the rod about the hinge remains constant through out its fall to the floor.

A
Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 2 is false, statement – 2 is true
Question 4
4 / -1

.Statement – 1 —If the cylinder rolling with angular speed- w. suddenly breaks up in to two equal halves of the same radius. The angular speed of each piece becomes 2w.
Statement – 2—If no external torque outs, the angular momentum of the system is conserved.

A
Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 2 is false, statement – 2 is true
Question 5
4 / -1

A Solid sphere of mass M and radius R is released from rest at the top of a frictionless inclined plane of length \'d\' and inclination ?.
In case (a) it rolls down the plane without slipping and in case (b) it slides down the plane
The ratio of the acceleration of the sphere in case (a) to that in case (b) is

A
1

B
2/3

C
5/7

D
7/9

Solution
Question 6
4 / -1

A Solid sphere of mass M and radius R is released from rest at the top of a frictionless inclined plane of length \'d\' and inclination ?.
In case (a) it rolls down the plane without slipping and in case (b) it slides down the plane
The ratio of time taken by the sphere to reach the bottom in case (a) to that in case (b) as

A
1

B

C

D

Solution
Question 7
4 / -1

A uniform disc of mass M and radius R rolls without slipping down a plane inclined at an angle θ with the horizontal.
The magnitude of torque acting on the disc is

A
MgR

B

C

D

Solution
Question 8
4 / -1

A uniform disc of mass M and radius R rolls without slipping down a plane inclined at an angle θ with the horizontal.
If the disc is replaced by a ring of the same mass M and the same radius R, the ratio of the frictional force on the ring to that on the disc will be

A
3/2

B
2

C
√2

D
1

Solution
Question 9
4 / -1

A solid cylinder of mass M and R is mounted on a frictionless horizontal axle so that it can freely rotate about this axis. A string of negligible mass is wrapped round the cylinder and a body of mass m is hung from the string as shown in figure the mass is released from rest then___
The tension in string is

A
mg

B

C

D

Solution
Question 10
4 / -1

A solid cylinder of mass M and radius R rolls down an inclined plane of height h. The angular velocity of the cylinder when it reaches the bottom of the plane will be.

A

B

C

D

Solution