Determine the moment of inertia of a thin rod of length (l) and mass (M) rotating about an axis perpendicular to the rod and through its center. a) Make a diagram of the problem, b) Determine the moment of inertia.

A wheel with moment of inertia 3.00 kg x m^2 has a net torque of 3.50 Nxm applied to it. What angular acceleration does it experience? A) 1.17rad/s^2 B) 0.857 rad/s^2 C) 3.50 rad/s^2 D 3.00 rad/s^2

A person of mass 78 kg stands at the center of a rotating merry-go-round platform of radius 2.9 m and moment of inertia 840 kg⋅m2 . The platform rotates without friction with angular velocity 0.95 rad/s . The person walks radially to the edge of the platform.a) Calculate the angular velocity when the person reaches the edge. b) Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.

a) Calculate the rotational inertia for a spoke wheel with mass = 3.1 kg and radius 0.40 meters. b) Initially at rest a constant force of 7 Newtons is applied to the outermost part of the spoke wheel. What torque does the wheel experience? c) If the force is applied constantly for 10 seconds, what is the final angular velocity of the system after 10.0 seconds? Assume the wheel was initially at rest. d) What is the Rotational Kinetic Energy of the spoke wheel after 10 seconds?

Question 9 of 10 In Rotational Experiment, a student drew the relation between the moment of inertia of the system I and the square distance R. The value of the moment of inertia of the rod od and the mass ms: OL-200kg.m², m=0.2kg OL=0.02kg.m², m=200g OL=0.02kg.m², m=100kg OL=0.02kg.m², m=100g OL=100kg.m², m=0.2kg G 0.12 0.1 0.08 1(kg.m²) 0.06 0.04 0.02 0 0 0.05 0.1 0.15 0.2 0.25 R²(m²) 03 0.35 04 0.45

a) What constant torque needs to be applied to a wheel with rotational inertia I=0.1kg-m² about its central axis to decrease crease its angular velocity from 26 to 16 rad/s in 5s? Assume constant angular acceleration. Calculate b) initial and c) final angular momentum of the flywheel, d) angular acceleration of the flywheel. Hint: angular momentum of a rigid body is L= Io, solve part d) first.

Two circular objects with the same radii and mass but different moments of inertia rol down a ramp. At the bottom of the ramp, the translational speed (a) of both disks will be the same (b) of the disk with the greater moment of inertia will be greater (c) of the disk with the greater moment of inertia will be smaller (d) not enough information to draw a conclusion

a) Convert the following angles from degrees to radians: 15°, 35°, 80°, 95°, 180°b) Convert the following angles from radians to degrees: 0, π/6, 1.2π, 3, 6c) A propeller blade with a diameter of 5 m has an initial angular velocity of 42 rad/s and a constant angular acceleration of -15 rad/s2. What is the angular velocity after 5 revolutions? How much time does it take to complete these 5 revolutions?

Flying Circus of Physics A yo-yo has a rotational inertia of 1110 g.cm² and a mass of 94.4 g. Its axle radius is 2.47 mm, and its string is 133 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy, (e) rotational kinetic energy, and (f) angular speed? (a) Number i 5.1 (b) Number i 7.2 (c) Number i (d) Number i (e) Number i (f) Number i 000 Units Units Units Units Units Units m/s^2 PHON

2) A bicycle has wheels with radius of r=0.25m, and the bicycle is traveling at a constant speed of vb=4.00m/s. a) What is the angular speed of the wheels? b) What is the acceleration of a point on the outside edge of the bicycle tire? Draw a pictorial representation of the acceleration and velocity vectors at that point. c) The wheel slows down. Draw a pictorial representation of where the acceleration and velocity vectors now point. (for the same point on the outside edge of the bicycle tire).