A meter stick is attached at 1 end to a pivot and the other end is allowed to drop. The m stick starts out parallel to the floor but will be allowed to fall so that it will be vertical. How long will it take for the free end of the meter stick to fall to vertical position? What is the angular acceleration of the meter stick? (hint – The moment of inertia of the stick that is I= 1/12 m l^2, mass is 450 g and clearly length is 1 m.) )rotating about 1 end. Use a conservation of energy statement to find the final angular velocity of the stick. Use this to determine it’s angular acceleration.) What is the tangential or linear speed of the free end of the meter stick once it has reached vertical?
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.
A meter stick is attached at 1 end to a pivot and the other end is allowed to drop. The m stick starts out parallel to the floor but will be allowed to fall so that it will be vertical. How long will it take for the free end of the meter stick to fall to vertical position? What is the
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