The direction of the angular velocity vector is defined to be:
A. in the plane of the motion, tangent to the rotation.
B. in the plane of the motion, toward the center.
C. in the plane of the motion, out away from the center.
D. parallel to the rotational axis.
option D parallel to the rotational axis ,it is perpendicular to motion and using right thumb rule we can find the angular velocity vector
The direction of the angular velocity vector is defined to be: A. in the plane of...
The angular velocity W of a rotating solid body is a vector whose magnitude is the rate angular displacement (radians per second) and whose direction is that in which aright-handedscrew would advance if turned in the same direction. The position vector r of a point is the vector from the origin of coordinates to the point. Show that the velocity of any point in rotating solid body v=[W×r], relative to an origin located on the axis of rotation.
Calculate the angular momentum for a rotating disk, sphere, and rod. (a) A uniform disk of mass 16 kg, thickness 0.5 m, and radius 0.9 m is located at the origin, oriented with its axis along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the +y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.7 s. What is the...
A 045 kr volleyball is traveling toward you with a horizontal velocity of 3.6 m/s over the net. You mp up and hit it back with a horizontal velocity of 7.0 m/s. If the contact me is 0100s, what is the impulse and average force on the ball? (pt) 3. The impulse-momentum relationship was derived from (3pts) 2. Newton's first law. b. Newton's second law. c. Newton's law third law. d. Newton's of gravitation. c. none of the above. 6....
The disk shown is rotating about its center. In which direction is the angular velocity vector?
The disk shown is rotating about its center. In which direction is the angular velocity vector? Please explain why
The disk shown is rotating about its center. In which direction is the angular velocity vector? Please explain why
When an object moves in uniform circular motion, the direction of its acceleration is is directed toward the center of its circular path. depends on the speed of the object. in the opposite direction of its velocity vector. is directed away from the center of its circular path. in the same direction as its velocity vector
4. (4 pts) Consider the
surface z=x2y+y3.(a) Find the normal direction of the tangent plane
to the surface through (1,1,2).(b) Find the equation of the tangent
plane in (a).(c) Determine the value a so that the vector−→v=−−→i+
2−→j+a−→k is parallel to the tangent plane in (a).(d) Find the
equation of the tangent line to the level curve of the surface
through (1,1).
4. (4 pts) Consider the surface z = z2y + y). (a) Find the normal direction of the...
The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in the figure below. The angular speed of the tip of the angular momentum vector, called its precessional frequency, is given by w, = t/L, where t is the magnitude of the torque on the gyroscope and L is the magnitude of its angular momentum. In the motion called precession of the equinoxes, the Earth's axis of rotation precesses about the perpendicular to its orbital plane...
1. Radial acceleration is due to a) changes in the magnitude of the b) the direction of the velocity vec- velocity vector c) changes in the direction of the ve- tor d) the magnitude of the velocity vec- locity vector tor 2. The direction of centripetal acceleration is always a) away from the center of the circle c) parallel to the velocity b) towards the center of the circle d) in the direction of velocity 3. Tangential acceleration and radial...