The 2 lb ball located at A is released from rest and travels down the curved path. (Eigure 1) Figure + 10 ft O P B < 1 of 1 > Part A If the ball exerts a normal force of 7 lb on the path when it reaches point B, determine the angular momentum of the ball about the center of curvature, point O. Hin Neglect the size of the ball. The radius of curvature at point B must first be determined. Express your answer to three significant figures and include the appropriate units. μA HB = Value Submit 4 Request Answer < Return to Assignment Units 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.
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**Part A**
If the ball exerts a normal force of 7 lb on the path when it reaches point \( B \), determine the angular momentum of the ball about the center of curvature, point \( O \). Hint: Neglect the size of the ball. The radius of curvature at point \( B \) must first be determined.
Express your answer to three significant figures and include the appropriate units.
\[ H_B = \text{Value} \ \text{Units} \]
[Submit] [Request Answer]
[Return to Assignment] [Provide Feedback]
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**Figure Description**
- The figure shows a curved path with a ball starting from point \( A \).
- Point \( B \) is located further along the curve.
- The distance from point \( A \) to the lowest part of the curve is marked as 10 ft.
- The center of curvature is marked as point \( O \) with a radius of curvature, denoted by \( \rho \).
This problem involves calculating angular momentum using given forces and geometric information.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2e99635-9351-4a90-90be-f1d1f0c280c7%2F41267ec2-2af1-4047-88ec-94a9e345597f%2Fyup4coe_processed.png&w=3840&q=75)
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