Moment of Inertia or Rotational Inertia. A solid cylinder has mass 25kg with radius 60 cm...
A cylinder of mass 11.0 kg and radius 0.260m rolls without slipping on a horizontal surface. At a particular instant, its center of mass has a speed of 7.30 m/s. Its rotational kinetic energy about its center of mass is then 147J. a) What is in kg m2 its moment of inertia about its center of mass? b) What is in J its linear kinetic energy at that instant? c) What is in J its total kinetic energy at that...
If an object has a moment of inertia 28 If an object has a moment of inertia 28 kg.m2 and the magnitude of its rotational angular momentum is 77 kg • m²/s, what is its rotational kinetic energy? and the magnitude of its rotational angular momentum is 77 kg what is its rotational kinetic energy? Krot =
A yo-yo has a rotational inertia of 1100 g·cm2 and a mass of 118 g. Its axle radius is 1.99 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,...
the moment of inertia given is for the center of mass rather than the point where the string touches the yoyo A yo-yo has a rotational inertia of 770 cm and a mass of 105 g. Its axle radius is 2.4 mm and its string is 110 cm long. The yoyo is thrown so that its its initial speed down the string is reaches the end of the string, what are the following values? (a) the time taken to reach...
A solid cylinder has mass 1 kg and radius 5 cm. If it rolls without slipping along a level surface at linear speed 2 m/s, what is its total kinetic energy?
11.4 A solid cylinder with a mass of 35 kg and a radius of 40 cm spins at 420 rpm. a) What constant torque is needed to increase the angular momentum by 23.5 kgm/s in 6.3 s? b) What is the change in kinetic energy?
A baseball has a mass of 0.15 kg and radius 3.7 cm. In a baseball game, a pitcher throws the ball with a substantial spin so that it moves with an angular speed of 30 rad/s and a linear speed of 39 m/s. Assuming the baseball to be a uniform solid sphere, determine the rotational and translational kinetic energies of the ball in joules. KE rotational = .012034 x What is the moment of inertia of a solid sphere?) KEtranslational...
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...
A uniform solid cylinder of a radius of 10 cm and a mass of 3.0 kg is rotating about its center with an angular speed of 33.4 rpm. What is its kinetic energy?
1. A solid cylinder has a mass of 5 kg and a radius of 30 cm. A torque of 40 Nm is applied to the cylinder. What will be its angular acceleration? a) 37.5 rad/s2 b) 59.3 rad/s2 c) 89.0 rad/s2 d) 178 rad/s2 2. When an object is in static equilibrium a) the net force on it is zero b) the net torque on it is zero c) the net force and net torque are zero d) not enough...