32 A 80 g, 39-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 10 g ball of clay traveling horizontally at 2.1 m/s hits and sticks to the very bottom tip of the rod. Part A To what maximum angle, measured from vertical, does the rod (with the attached ball of clay) rotate? Express your answer two significant figures and include the appropriate units. HÀ Value Units Submit Request Answer < Return to Assignment Provide Feedback
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
![**Problem Statement:**
A rod with a mass of 80 grams and a length of 39 centimeters hangs vertically on a frictionless, horizontal axle passing through its center. A 10-gram ball of clay, moving horizontally at a speed of 2.1 meters per second, strikes and adheres to the bottom tip of the rod.
**Question:**
To what maximum angle, measured from the vertical, does the rod (with the attached ball of clay) rotate?
**Instructions:**
Express your answer to two significant figures and include the appropriate units.
**Answer Submission:**
- \( \theta = \) [Value] [Units]
Options are provided to submit the answer, request an answer, return to assignment, or provide feedback.
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