Chapter 1 D`Alembert`s principle and applications
... where RCM is the position of the center of mass of the object relative to the original origin. The first term in equation (1.2.22) is the virtual inertial work that would occur if all of the mass were concentrated at the center of mass. The second term is the virtual work for rotations about the cen ...
... where RCM is the position of the center of mass of the object relative to the original origin. The first term in equation (1.2.22) is the virtual inertial work that would occur if all of the mass were concentrated at the center of mass. The second term is the virtual work for rotations about the cen ...
Systems of particles
... Systems of particles So far, we have discussed only the application of Newton’s laws to particles, or to bodies in situations where they can be treated as particles — planets in orbit round the Sun, for example. In this chapter, we apply Newton’s laws to systems of interacting particles, which could ...
... Systems of particles So far, we have discussed only the application of Newton’s laws to particles, or to bodies in situations where they can be treated as particles — planets in orbit round the Sun, for example. In this chapter, we apply Newton’s laws to systems of interacting particles, which could ...
moment of inertia - Deer Creek High School
... exerted on it, use the pencil with coins taped at the ends. Hold the pencil between your thumb and forefinger, and wiggle it back and forth. The forces that your thumb and forefinger exert, create torques that change the angular velocity of the pencil and coins. ...
... exerted on it, use the pencil with coins taped at the ends. Hold the pencil between your thumb and forefinger, and wiggle it back and forth. The forces that your thumb and forefinger exert, create torques that change the angular velocity of the pencil and coins. ...
File - Mr. Walsh
... table setting, but it's easiest if the objects have smooth bottom surfaces. A paper towel can be used instead of the cloth. DISCUSSION According to Newton's first law, an object at rest tends to remain at rest until acted upon by an external force. In this case, the external force is the friction fo ...
... table setting, but it's easiest if the objects have smooth bottom surfaces. A paper towel can be used instead of the cloth. DISCUSSION According to Newton's first law, an object at rest tends to remain at rest until acted upon by an external force. In this case, the external force is the friction fo ...
What is angular momentum?
... four moons of Saturn passing in front of their parent planet. In this view, the giant orange moon Titan casts a large shadow onto Saturn's north polar hood. Below Titan, near the ring plane and to the left is the moon Mimas, casting a much smaller shadow onto Saturn's equatorial cloud tops. Farther ...
... four moons of Saturn passing in front of their parent planet. In this view, the giant orange moon Titan casts a large shadow onto Saturn's north polar hood. Below Titan, near the ring plane and to the left is the moon Mimas, casting a much smaller shadow onto Saturn's equatorial cloud tops. Farther ...
Torque and Rotational Motion
... • Forces cause linear accelerations, torques cause angular accelerations. • The I in the above formula stands for the rotational inertia or moment of inertia and is specific to the object and how the object is rotating. ...
... • Forces cause linear accelerations, torques cause angular accelerations. • The I in the above formula stands for the rotational inertia or moment of inertia and is specific to the object and how the object is rotating. ...
L-11 Rotational Inertia symbol I
... (symbol- Omega ) simply the number of revolutions per minute for example -- the number of times something spins say in a second or ...
... (symbol- Omega ) simply the number of revolutions per minute for example -- the number of times something spins say in a second or ...
Chapter 4. Rotation and Conservation of Angular Momentum
... The introduction of a vector notation has many benefits and simplifies the form of several relations that we will encounter. A first example is that of the infinitesimal arc vector dr that results for an infinitesimal rotation vector dθ of a rigid body (please note that we have intentionally replace ...
... The introduction of a vector notation has many benefits and simplifies the form of several relations that we will encounter. A first example is that of the infinitesimal arc vector dr that results for an infinitesimal rotation vector dθ of a rigid body (please note that we have intentionally replace ...
3D Kinetics of Rigid Bodies
... additional comp of angular momentum @ y-axis Two components: Hz = I p and Hy = I0 Ω I = Izz @ spin axis, and I0 = Iyy @ precession axis Total angular momentum = H Change in H: dH = Mdt Precession during dt: dψ = M dt/Hz = M dt/ (I p) These are same eqns as obtained before. ...
... additional comp of angular momentum @ y-axis Two components: Hz = I p and Hy = I0 Ω I = Izz @ spin axis, and I0 = Iyy @ precession axis Total angular momentum = H Change in H: dH = Mdt Precession during dt: dψ = M dt/Hz = M dt/ (I p) These are same eqns as obtained before. ...