1. An ice skater with rotational inertia lo is spinning with angular arms in, th

Question

1. An ice skater with rotational inertia lo is spinning with angular arms in, thereby increasing her angular speed to 40%. Her on. She pulls her arms in, thereby increasing her angular speed to 40%. Her rotational inertia rotational inertia is then: 2. A wheel ntialy has an angular velocity of -36 rad/s but after 6.0 s its angular velocity is-24 rad/s. If its angular acceleration is constant the value is: A) -3.0 rad/s B) 2.0 rad/s C) -60 rad/s? D) 3 3.0 rad/s E) -2.0 rad/s? 3. Three identical balls are tied by light strings to the same rod and rotate around it, as shown below. Rank the balls according to their rotational inertia, least to greatest. imball 1 ball 3 A) 3,2,1 B) 3, then 1 and 2 tie C) All are the same D) 1,2,3 B) 1,3,2 4. A rod rests on frictionless ice. Forces that are equal in magnitude and opposite in direction are simultaneously applied to its ends as shown. The quantity that has magnitude of zero is its: A) angular acceleration B) total linear momentum C) rotational inertia D) angular momentum E) kinetic energy

Explanation / Answer

1)

Angular momentum is conserved. Angular momentum in this system is defined to be I(wo), thus if the angular velocity increases by a factor of 4 her moment of inertia must decrease by a factor of 4

Answer: B

2)

Similar to the equation for linear motion, v = vo + at, the equation for angular motion would be:
= o + t
- 24 rad/s = - 36 rad/s + (6.0 s)
= 2 rad/s^2

Ans :- B

3)

All the balls have same angular velocity.

thet are rotating same sequence top to bottom.

Ans :- A

4)

In this condition total angular linear momentum vanishes.

Ans :- B

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