Question:
A mass m is moving with a constant velocity along a line parallel to the x-axis, away from the origin. Its angular momentum with respect to the origin
A mass m is moving with a constant velocity along a line parallel to the x-axis, away from the origin. Its angular momentum with respect to the origin
Updated On: Jun 14, 2022
- is zero
- remains constant
- goes on increasing
- goes on decreasing
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The Correct Option is B
Solution and Explanation
|v| = v = constant and |r | = r (say)
Angular momentum o f the particle about origin 0 w ill be given by
Therefore, angular momentum o f particle about origin will remain constant. The direction o f r x v also remains the same (negative z).
NOTE: $\bullet$ Angular momentum of a particle moving with constant velocity about any point is always constant e.g.
Angular momentum of the particle shown in figure about origin 0 will be
L = m vh = constant
Angular momentum o f the particle about origin 0 w ill be given by
Therefore, angular momentum o f particle about origin will remain constant. The direction o f r x v also remains the same (negative z).
NOTE: $\bullet$ Angular momentum of a particle moving with constant velocity about any point is always constant e.g.
Angular momentum of the particle shown in figure about origin 0 will be
L = m vh = constant
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Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.