τ=rFsinθ Is the version of torque we should now be using A ladder with a length of 2m and a mass of 5kg is resting against a wall so that it makes an angle of 60 degrees with the floor as shown above. Assuming that the mass of the ladder is distributed uniformly, what is the torque due to the weight of the ladder about its base? Remember, torque on an object will cause it to rotate if possible, even if the ladder is not rotating about the base (pivot point) the weight of the ladder would still cause it to rotate if the wall were to disappear. Hint: the angle should be between the FORCE and the RADIUS.
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.
τ=rFsinθ
Is the version of torque we should now be using
A ladder with a length of 2m and a mass of 5kg is resting against a wall so that it makes an angle of 60 degrees with the floor as shown above. Assuming that the mass of the ladder is distributed uniformly, what is the torque due to the weight of the ladder about its base? Remember, torque on an object will cause it to rotate if possible, even if the ladder is not rotating about the base (pivot point) the weight of the ladder would still cause it to rotate if the wall were to disappear.
Hint: the angle should be between the FORCE and the RADIUS.
Answer to 2 decimal places if possible
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