If it is spinning with an angular velocity of 4.9, d Determine the torque on a...
A disk with radius 0.6 meters and mass 31 kg is spinning about its own center with an angular velocity of 88ed A solid sphere (/ mR2) with a radius of 0.18 meters which is spinning with an angular velocity of -18 ed (the negative sign indicates the opposite 6. rad sec direction), is gently lowered onto the disk a sticks to the disk. The two rotate together (about their mutual center of mass) at an angular velocity of 33...
3) (Student Spinning on Stool) A student sits spinning on a stool at initial angular velocity angular velocity w, = 4.00 Hz, initially with arms rigidly outstretched, holding two identical m= 2.00 kg weights (one in left hand and one in the right hand) at distance r = 0.600m from the student's axis of rotation. The student's moment of inertia (without including the contribution of the two weights) is I = 4.00 kg m². Assume that the contribution of the...
step by step explanation please
Working from first principles show that the gyroscopic torque Ta generated by a body of polar moment of inertia I spinning about one axis at an angular velocity an whilst precessing at a about a perpendicular axis is lo Clearly indicate the direction of [10 marks] A submerged submarine is travelling at 36 kmh in a circular path of unknown radius R as shown in Fig. Q2a. A transversely mounted single-rotor gyroscope is carried onboard....
5*) Find the angular velocity of the Earth due to its daily
rotation and express it in radians per second. Then use it, and a
model of the Earth as a solid sphere of mass M=
5.97 × 1024 kg and radius R
= 6.37 × 106 m, to estimate the angular momentum of the Earth due
to its rotation around its axis. (The result should be of the order
of 1033 kg m2/s. This is called the Earth’s “intrinsic”...
Knowing that at the instant shown the angular velocity of rod BE is 4.00 radians/s counterclockwise, please determine (a) the angular velocity of rod AD, (b) the velocity of collar D, the velocity of point A, (c) and the location of the instantaneous center of rotation of rod AD. (d) 192 mm 240 mm 30° 360 mm
Knowing that at the instant shown the angular velocity of rod BE is 4.00 radians/s counterclockwise, please determine (a) the angular velocity of...
A motor provides the torque necessary to keep a gear turning at
constant angular velocity, overcoming friction between the gear and
the axle.
The gear can be modeled as a disk, with mass 2 kg, and radius
rg = 0.2 m. The force of friction can be
modeled as a single force, acting at the outer edge of the axle, at
position ra = 0.02 meters, with force of
fk = 10 N.
a) What is the magnitude of the...
A ceiling fan is spinning with an angular velocity of +10RAD /s. It then comes to a stop over a brief period of time. During this time, its angular displacement is +8.7RAD. The blades of the fan extend 0.9 m from the center. (a) Determine the average angular acceleration. (b) Determine the time during which it comes to rest. (c) How far (in meters) does the tip of each blade travel during this time?
A DVD (radius 6.0 cm) is spinning freely with an angular velocity of 1150 rpm when a bug drops onto and sticks to the DVD a distance 4.4 cm from the center. If the DVD slows to 900 rpm, what is the ratio of the bug's mass to the DVD's mass? (Ignore the effect of the hole in the center of the DVD.) mbug mOVD
A horizontal platform in the shape of a circular disk rotates on
a frictionless bearing about a vertical axle through the center of
the disk. The platform has a radius of 4.64 m and a rotational
inertia of 141 kg·m2 about the axis of rotation. A 53.2
kg student walks slowly from the rim of the platform toward the
center. If the angular speed of the system is 1.48 rad/s when the
student starts at the rim, what is the...
Two uniform solid spheres have the same mass, 1.65 kg, but one has a radius of 0.256 m while the other has a radius of 0.844 m. For each of the spheres, find the torque required to bring the sphere from rest to an angular velocity of 357 rad/s in 10.5 s. Each sphere rotates about an axis through its center. a)Torque on sphere with the smaller radius. b)Torque on sphere with the larger radius. c)For each sphere, what force...