Consider a bar of length 5.5 m, being acted on by three forces and constrained to rotate about its left end. The magnitudes of the first two forces are 19 N and 26 N and the first force is acting on the end of the bar at an angle of 53 What is the torque in newton-meters, due to F1 on this bar relative to the left end? What is the torque in newton-meters, due to F2 on this bar relative to the left end, if this force is acting at the midpoint of the bar? Use a coordinate system with positive directed out of the screen. What is the magnitude of the force F3, in newtons, if the force is a distance 0.25 m from the left end and the bar is not rotating?
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.
Consider a bar of length 5.5 m, being acted on by three forces and constrained to rotate about its left end. The magnitudes of the first two forces are 19 N and 26 N and the first force is acting on the end of the bar at an angle of 53
What is the torque in newton-meters, due to F1 on this bar relative to the left end?
What is the torque in newton-meters, due to F2 on this bar relative to the left end, if this force is acting at the midpoint of the bar? Use a coordinate system with positive directed out of the screen.
What is the magnitude of the force F3, in newtons, if the force is a distance 0.25 m from the left end and the bar is not rotating?
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