Angular Momentum problem

In summary, the problem involves a 1.9 kg ball attached to a 1.8 m string moving counterclockwise in a horizontal circle at an angle of 30° with the vertical. The goal is to determine the horizontal and vertical components of the angular momentum of the ball about the point of support P, as well as the magnitude of d/dt. To solve this, a free-body diagram can be drawn to identify the forces acting on the ball. These forces can be represented as vectors and added together to find the total force acting on the ball. This result is related to the tangential or angular speed of the ball, and once that is determined, the remaining parts of the problem can be solved.
  • #1
gongshow29
10
0

Homework Statement



A 1.9 kg ball attached to a string whose length is 1.8 m moves counterclockwise (as viewed from above) in a horizontal circle (see figure below). The string makes an angle θ = 30° with the vertical.
(a) Determine both the horizontal and vertical components of the angular momentum of the ball about the point of support P. (Use variables w,t and directions i, j, and k as necessary.)
horizontal 1
vertical 2

(b) Find the magnitude of d/dt.
3 N*m


Homework Equations



the equations is what I am trying to solve for.

The Attempt at a Solution


I have no idea how to attempt solving this equation :(
 
Physics news on Phys.org
  • #2
Do a free-body diagram.

What are the forces acting on the ball. Draw them as vectors. What do all the forces add up to?

How is that result related to the tangential or angular speed of the ball?

When you get that far, you may be able to solve the rest.

AM
 

1. What is Angular Momentum?

Angular Momentum is a physical quantity that measures the rotational motion of an object. It is a vector quantity, meaning it has both magnitude and direction, and is calculated by multiplying the moment of inertia by the angular velocity.

2. What is the Angular Momentum Problem?

The Angular Momentum Problem is a concept in physics that refers to the conservation of angular momentum in a closed system. In other words, the total angular momentum of a system remains constant unless acted upon by an external torque.

3. How is Angular Momentum related to Newton's Laws of Motion?

Angular Momentum is related to Newton's Laws of Motion through the principle of conservation of momentum. The first law states that an object at rest will remain at rest and an object in motion will remain in motion unless acted upon by an external force. This applies to angular momentum as well, where an object will continue to rotate at a constant speed unless an external torque is applied.

4. What factors affect Angular Momentum?

The factors that affect Angular Momentum include the moment of inertia, which depends on the mass and distribution of mass of an object, and the angular velocity, which is the rate at which an object rotates. Other factors that can affect angular momentum include external forces or torques, friction, and collisions.

5. How is Angular Momentum used in real-world applications?

Angular Momentum has many real-world applications, including in the fields of engineering, astronomy, and sports. It is used to calculate the stability of rotating objects, such as satellites and gyroscopes, and is also used in the study of celestial bodies and their movements. In sports, understanding angular momentum is important for athletes to maintain balance and control in activities such as figure skating and gymnastics.

Similar threads

  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
737
  • Introductory Physics Homework Help
2
Replies
62
Views
9K
  • Introductory Physics Homework Help
Replies
10
Views
821
  • Introductory Physics Homework Help
Replies
12
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
993
  • Introductory Physics Homework Help
Replies
22
Views
3K
  • Introductory Physics Homework Help
Replies
5
Views
5K
  • Introductory Physics Homework Help
Replies
14
Views
1K
Back
Top