A person's rotational inertia is least about a. an axis through the person's feet b. the...
PART A PART B PART C Q14 (10 points): If the rotational inertia about an axis through the midpoint of one end of the slab, axis 1 in the below figure, is 4.7x104 kg.m2, what is its rotational inertia about the axis through its center of mass, axis 2? Mass of the slab is 0.16 kg. (Hint: Use parallel-axis theorem.) Answer: I-3.26x I0 kgm2 a 2 cm -бст Q19 (10 points): A square slab of 0.4 m on each side...
The angular momentum of a flywheel having a rotational inertia of 0.150 kg·m2 about its axis decreases from 3.40 to 1.400 kg·m2/s in 0.90 s. (a) What is the average torque acting on the flywheel about its central axis during this period? N·m (b) Assuming a uniform angular acceleration, through what angle will the flywheel have turned? rad (c) How much work was done on the wheel? J (d) What is the average power of the flywheel? W
4) Rotational Inertia: point masses Four masses are held in position at the corners of a rectangle by light (massless) rods (see figure). Find the rotational inertia (moment of inertia) of the system (a) about the x-axis, (b) about the y-axis (c) about an axis through O perpendicular to the page. 4) Rotational Inertia: point masses Four masses are held in position at the corners of a rectangle by light (massless) rods (see figure). Find the rotational inertia (moment of...
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...
Calculate the rotational inertia of a meter stick, with mass 0.342 kg, about an axis perpendicular to the stick and located at the 22.7 cm mark. (Treat the stick as a thin rod.)
Calculate the rotational inertia of a meter stick, with mass 0.391 kg, about an axis perpendicular to the stick and located at the 43.4 cm mark. (Treat the stick as a thin rod.)
The rotor of an electric motor has rotational inertia Im = 4.54 x 10-3kg.m2 about its central axis. The motor is used to change the orientation of the space probe in which it is mounted. The motor axis is mounted along the central axis of the probe; the probe has rotational inertia l = 14.3 kg.m² about this axis. Calculate the number of revolutions of the rotor required to turn the probe through 18.4° about its central axis. Number Units
Calculate the rotational inertia of a meter stick, with mass 0.74 kg, about an axis perpendicular to the stick and located at the 34 cm mark. (Treat the stick as a thin rod.) kg·m2
10. The angular momentum of a flywheel having a rotational inertia of 0.140 kg m2 about its central axis decreases from 3.00 to 0.800 kg m'/s in 1.50 s. (a) What is the magnitude of the average torque acting on the flywheel about its central axis during this period? (b) Assuming a constant angular acceleration, through what angle does the flywheel turn? (c) How much work is done on the wheel? (d) What is the average power of the flywheel?...
Calculate the rotational inertia of a meter stick, with mass 0.567 kg, about an axis perpendicular to the stick and located at the 35.2 cm mark. (Treat the stick as a thin rod.) Number Units the tolerance is +/-2%