Q. A particle is moving in a straight line with a velocity v. If it suddenly starts moving in a circular path of radius r, what will be its angular momentum about the center of the circular path?
A.0
B.mv
C.mvr
D.mv^2/r
Solution
Angular momentum L = mvr, where v is the linear speed and r is the radius of the circular path.
Q. A particle is moving in a straight line with a velocity v. What is its angular momentum about a point O located at a distance r from the line of motion?
A.0
B.mv
C.mvr
D.mv^2
Solution
Angular momentum L = mvr, where r is the perpendicular distance from the line of motion to point O.
Q. A particle moves in a circular path with a radius r and a constant speed v. If the speed is doubled, what happens to the angular momentum of the particle?
A.It remains the same
B.It doubles
C.It quadruples
D.It halves
Solution
Angular momentum L = mvr; if v is doubled, L also doubles.
Q. A particle moves in a straight line with a velocity v. What is its angular momentum about a point P located at a distance d from the line of motion?
A.mv
B.mvd
C.mdv
D.0
Solution
Angular momentum L = mvr, where r is the perpendicular distance from the line of motion to point P.
Q. A particle of mass m is moving in a circular path of radius r with a constant speed v. What is the angular momentum of the particle about the center of the circle?
A.mv
B.mvr
C.mr^2
D.mv^2
Solution
Angular momentum L = mvr, where v is the linear speed and r is the radius.
Q. A planet orbits the sun in a circular path. If the radius of the orbit is doubled, what happens to the angular momentum of the planet if its speed remains constant?
A.Doubles
B.Halves
C.Remains the same
D.Quadruples
Solution
Angular momentum L = mvr, so if the radius is doubled and speed remains constant, angular momentum doubles.
Q. A rigid body is rotating about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?
A.Iω
B.ω/I
C.I/ω
D.Iω^2
Solution
Angular momentum L = Iω, where I is the moment of inertia and ω is the angular velocity.
Q. A rigid body is rotating about a fixed axis. If the moment of inertia of the body is I and it is rotating with an angular velocity ω, what is its angular momentum?
A.Iω
B.I/ω
C.Iω^2
D.ω/I
Solution
Angular momentum L = Iω, where I is the moment of inertia and ω is the angular velocity.
Q. A rigid body rotates about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?
A.Iω
B.ω/I
C.I/ω
D.Iω^2
Solution
Angular momentum L = Iω, where I is the moment of inertia and ω is the angular velocity.
Q. A rolling object has both translational and rotational motion. Which of the following quantities remains constant for a rolling object on a flat surface?
A.Linear velocity
B.Angular velocity
C.Total energy
D.Kinetic energy
Solution
The total energy remains constant for a rolling object on a flat surface, assuming no external work is done.
Q. A rotating disc has an angular velocity of ω. If the radius of the disc is doubled while keeping the mass constant, what happens to the angular momentum?
A.It doubles
B.It remains the same
C.It quadruples
D.It halves
Solution
Angular momentum L = Iω, where I is the moment of inertia. If radius is doubled, I increases by a factor of 4, but ω decreases by a factor of 2, so L remains the same.
