A wheel with rotational inertia I=12MR2 about its central axle is set spinning with initial angular speed ?0 and is then lowered onto the ground so that it touches the ground with no horizontal speed. Initially it slips, but then begins to move forward and eventually rolls without slipping.
A wheel with rotational inertia I=12MR2 about its central axle is set spinning with initial angular...
A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center (see figure . The radius of the axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg·m2. The wheel is initially at rest at the top of a surface that is inclined at angleθ = 43.6o with the horizontal; the axle rests on the surface while the wheel extends into a...
A potter's wheel, with rotational inertia 21 kg-m2. is spinning freely at 40 rpm. The potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay? 4.0 kg 4.3 kg 3.6 kg 2.4 kg 3.1 kg
A potter's wheel, with rotational inertia 24 kg*m^2 is spinning freely at 40 rpm The potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay?
A non-uniform density cylinder has a radius R=6m. The rotational inertia of this cylinder can be taken to be I=βMR2, where β is unknown and M is the mass of the cylinder. The cylinder is initially rotating with angular velocity ω0= 1.00rad/s, and is placed on a rough horizontal surface. The speed of the center of mass (CM) of the cylinder, as it is placed on the surface, is 0. The cylinder at first rolls and slips. Just as it...
Chapter 11, Problem 081 A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center (see the figure). The radius of the axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg-m2. The wheel is initially at rest at the top of a surface that is inclined at angle 58.4° with the horizontal; the axle rests on the surface while the wheel...
A pulley, with a rotational inertia of 7.6 × 10-3 kg·m2 about its axle and a radius of 9.3 cm, is acted on by a force applied tangentially at its rim. The force magnitude varies in time as F= 0.60t + 0.30t2, with F in newtons and t in seconds. The pulley is initially at rest. At t = 1.0 s what are (a) its angular acceleration and (b) its angular speed? Question 3 A pulley, with a rotational inertia...
A pulley, with a rotational inertia of 9.4 × 10-3 kg·m2 about its axle and a radius of 6.0 cm, is acted on by a force applied tangentially at its rim. The force magnitude varies in time as F = 0.70t + 0.30t2, with F in newtons and t in seconds. The pulley is initially at rest. At t = 3.3 s what are (a) its angular acceleration and (b) its angular speed?
An ice- skater is initially spinning at an angular speed ω = 1.35 revolutions/s with a rotational inertia Ii = 2.30 kg.m2 with her arms extended. When she pulls her arms in, her rotational inertia is reduced to If=1.05 kg.m2 . Assume no external torques act. a) Determine her initial angular speed in rad/s. (1 marks) b) Calculate her final angular speed in RPM (4 marks) c) Calculate the period of rotation when she is at her final speed (1...
A hollow sphere of radius 0.240 m, with rotational inertia I = 0.0470 kg·m2 about a line through its center of mass, rolls without slipping up a surface inclined at 13.3° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 12.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has moved 0.690...
A pulley having a rotational inertia of 1.2 ✕ 10-3 kg·m^2 about its axle and a radius of 25 cm is acted on by a force, applied tangentially at its rim, that varies in time as F = 0.50t + 0.30t^2, where F is in newtons and t in seconds. If the pulley was initially at rest, find its angular speed after 10.0 s. ANSWER in rad/s^2