A thin uniform rod has a length of 0.500 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.400 rad/s and a moment of inertia about the axis of 3.00 × 10 3 kg · m 2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of the rod. When the bug has reached the end of the rod and sits there, its tangential speed is 0.160 m/s. The bug can be treated as a point mass. What is the mass of (a) the rod;(b) the bug?
A thin uniform rod has a length of 0.500 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.400 rad/s and a moment of inertia about the axis of 3.00 × 10 3 kg · m 2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of the rod. When the bug has reached the end of the rod and sits there, its tangential speed is 0.160 m/s. The bug can be treated as a point mass. What is the mass of (a) the rod;(b) the bug?
A thin uniform rod has a length of 0.500 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.400 rad/s and a moment of inertia about the axis of 3.00 × 103 kg · m2. A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of the rod. When the bug has reached the end of the rod and sits there, its tangential speed is 0.160 m/s. The bug can be treated as a point mass. What is the mass of (a) the rod;(b) the bug?
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
A thin rod has a length of 0.307 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.903 rad/s and a moment of inertia of 1.41 x 10-3 kg·m2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod?
A circular bird feeder 19 cm in radius has rotational inertia 0.12kg·m2. The feeder is suspended horizontally by a thin wire through the middle, and is spinning slowly at 6.1 rpm. A 140 g bird lands on the rim of the feeder, coming in tangent to the rim at 1.1 m/s in a direction opposite the feeder’s rotation. Assume the feeder-bird system is isolated; no pFBD or IST is required for this problem. Please put your answers in terms of the variables listed.
Variables:
R-radius of feeder
I0-Feeder inertia
w0-initial angular velocity
m-bird mass
v0-bird initial speed
Lbird-bird intitial angular momentum
Iafter-system final inertia
wf-final angular velocity
q. Treat the bird as a point-particle, and define the feeder’s initial rotation direction to be positive. Write an expression in terms of given variables for the bird’s angular momentum immediately before contact with the feeder about the feeder’s axis of rotation Lbird in terms of the variables above.
A solid disk of uniform density and mass M = 0.950 kg with radius R = 0.250 m is suspended vertically and is
free to rotate about its center without friction. A point object that has the same mass as the disk is placed at an
angle 0 = 25.0° clockwise from the top along the rim, causing the disk to rotate. The acceleration due to gravity is
g=9.81m/s².
What is the angular speed wf of the disk when the point object is directly below the center of the disk?
R
0.
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