Question:
A mass \( M \) is moving with a constant velocity on a line parallel to the \( x \)-axis. Its angular momentum with respect to the origin or \( z \)-axis:
A mass \( M \) is moving with a constant velocity on a line parallel to the \( x \)-axis. Its angular momentum with respect to the origin or \( z \)-axis:
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For an object moving with constant velocity in a straight line, its angular momentum with respect to the origin remains constant.
Updated On: Apr 22, 2026
- is zero
- remains constant
- goes on increasing
- goes on decreasing
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The Correct Option is B
Solution and Explanation
Step 1: Understanding angular momentum.
The angular momentum \( L \) of a particle is given by the formula: \[ L = r \times p = r \times mv \] where: - \( r \) is the position vector of the particle, - \( p = mv \) is the linear momentum, and - \( v \) is the velocity of the particle.
Step 2: Analysis of the situation.
In this problem, the mass \( M \) is moving with a constant velocity on a line parallel to the \( x \)-axis. Since the motion is in a straight line and there are no external forces acting on the mass, the angular momentum will remain constant. The velocity is constant, and the position vector relative to the origin does not change in direction with time.
Step 3: Conclusion.
The angular momentum remains constant, which is option (2).
The angular momentum \( L \) of a particle is given by the formula: \[ L = r \times p = r \times mv \] where: - \( r \) is the position vector of the particle, - \( p = mv \) is the linear momentum, and - \( v \) is the velocity of the particle.
Step 2: Analysis of the situation.
In this problem, the mass \( M \) is moving with a constant velocity on a line parallel to the \( x \)-axis. Since the motion is in a straight line and there are no external forces acting on the mass, the angular momentum will remain constant. The velocity is constant, and the position vector relative to the origin does not change in direction with time.
Step 3: Conclusion.
The angular momentum remains constant, which is option (2).
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