A thin rigid rod of MM = 1.6 kg and L = 3.2 m rotates at the
angular speed ω = 5 rev/s around the rotation axis which is at d =
0.1 m from the center of the mass of the rod, as shown. Note that
ICM = ML^2/12 for a thin rod.
A. Calculate the moment of inertia I of the rod for the rotation
axis.
B. What is the rotational kinetic energy of the thin rod?



A uniform rod rotates in a horizontal plane about a vertical
axis through one end. The rod is 12.00 m long, weighs
20.00 N, and rotates at 350 rev/min clockwise when seen
from above. Calculate its rotational inertia about the axis of
rotation.
Tries 0/5
Calculate the angular momentum of the rod about that axis.
A man stands at the center of a platform that rotates without
friction with an angular speed of 1.2 rev/s. His arms are
outstretched, and...
A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.39 second and rotates clockwise as viewed from above its plane of rotation. A)Find the magnitude of the rod’s angular momentum about its rotation axis, in units of kgm^/s. b) find the rotational kinetic energy, in joules, of the rod described in part (a)....
The figure shows a rigid
assembly of a thin hoop (of mass m = 0.27 kg and radius R = 0.17 m)
and a thin radial rod (of length L = 2R and also of mass m = 0.27
kg). The assembly is upright, but we nudge it so that it rotates
around a horizontal axis in the plane of the rod and hoop, through
the lower end of the rod. Assuming that the energy given to the
assembly in...
In the figure, two particles, each with mass m = 0.87
kg, are fastened to each other, and to a rotation axis at
O, by two thin rods, each with length d = 5.8 cm
and mass M = 1.3 kg. The combination rotates around the
rotation axis with angular speed ω = 0.26 rad/s. Measured
about O, what is the combination's (a)
rotational inertia and (b) kinetic energy?
Rotation axis
6. (BONUS) Two particles each with mass m = 0.4 kg, are fastened to each other, and to a rotation axis at 0, by the two thin rods, each of length d and mass M = 1.5 kg as shown below. The combination rotates around the rotation axis with angular speed w = 0.2 rad/s. The total moment of inertia of the system measured about O is 2.3 x 10-4 kg m?. (Hint: The moment of inertia of a thin...
In the figure, two particles, each with mass m = 0.85 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.4 cm and mass M = 1.1 kg. The combination rotates around the rotation axis with angular speed ω = 0.26 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy?
A cylinder with rotational inertia I1 = 3.2 kg · m2 rotates clockwise about a vertical axis through its center with angular speed ω1 = 5.8 rad/s. A second cylinder with rotational inertia I2 = 1.2 kg · m2 rotates counterclockwise about the same axis with angular speed ω2 = 6.2 rad/s. If the cylinders couple so they have the same rotational axis, what is the angular speed of the combination (in rad/s)? What percentage of the original kinetic energy...
A flywheel having radius of gyration 2 m and mass 10 kg
rotates at angular speed of 5 radians/s about an axis perpendicular
to it through its center. Find (a) The moment of inertia. (b) The
angular momentum of the flywheel. (c) The kinetic energy of
rotation.
4. A flywheel having radius of gyration 2 m and mass 10 kg rotates at angular speed of 5 radians/s about an axis perpendicular to it through its center. Find (a) The moment...
A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular to the rod; the axis intersects the rod at 1/3 of the rod's length. The rod rotates about the axis at the rate of 8 full revolutions per second. a. Compute the rotational Inertia of the rod based on the given axis of rotation. b. Compute the magnitude of the angular velocity in radians per second c. Compute the tangential speed of the end...
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping on a horizontal tabletop. The cylinder's center of mass is observed to have a speed of 4.60 m/s at a given instant. (a) What is the translational kinetic energy of the cylinder at that instant? J (b) What is the rotational kinetic energy of the cylinder around its center of mass at that instant? J (c) What is the total kinetic energy of the...