Question

In: Physics

A runner of mass 61.0 kg runs around the edge of a horizontal turntable mounted on...

A runner of mass 61.0 kg runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its center. The runner's velocity relative to the earth has magnitude 2.90 m/s . The turntable is rotating in the opposite direction with an angular velocity of magnitude 0.170 rad/s relative to the earth. The radius of the turntable is 2.60 m , and its moment of inertia about the axis of rotation is 83.0 kg⋅m^2 .

Find the final angular velocity of the system if the runner comes to rest relative to the turntable. (You can treat the runner as a particle.)

Solutions

Expert Solution

The answer is 0.9 anticlockwise

If you think why we have conserved the angular momentum then the answer is netthe torque is zero

Feel free to ask any doubt. If u like the answer please give a thumbs up


Related Solutions

A 65 kg woman stands at the rim of a horizontal turntable having a moment of...
A 65 kg woman stands at the rim of a horizontal turntable having a moment of inertia of 520 kg·m2 and a radius of 2.0 m. The turntable is initially at rest and is free to rotate about a frictionless vertical axle through its center. The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.5 m/s relative to the Earth. (a) In what direction and with what angular speed...
A 54.0-kg woman stands at the western rim of a horizontal turntable having a moment of...
A 54.0-kg woman stands at the western rim of a horizontal turntable having a moment of inertia of 490 kg · m2 and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless, vertical axle through its center. The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.50 m/s relative to the Earth. Consider the woman–turntable system as motion begins....
A 50.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia...
A 50.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 420 kg · m2 and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless vertical axle through its center. The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.50 m/s relative to the Earth. (a) In what direction does the turntable rotate?...
A 1.80 x 10-3 kg coin is on the outer-most edge of a spinning turntable, which...
A 1.80 x 10-3 kg coin is on the outer-most edge of a spinning turntable, which has a radius, r, of 0.250 m. μs for the coin-turntable interface is 0.690. 1) The speed at the edge of the turn table is increased until the coin just starts to slide.This maximum speed, vmax , in m/s is: 2) If the period is held constant when vmax is reached and the coin is moved halfway between the center of the turntable and...
A 60.0-kg woman stands at the western rim of a horizontal turntable having a moment of inertia of 500 kg ?
A 60.0-kg woman stands at the western rim of a horizontal turntable having a moment of inertia of 500 kg ? m2 and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless, vertical axle through its center. The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.50 m/s relative to the Earth. Consider the woman–turntable system as motion begins....
A man pulls a crate of mass 61.0 kg across a level floor. He pulls with...
A man pulls a crate of mass 61.0 kg across a level floor. He pulls with a force of 180.0 N at an angle of 29.0° above the horizontal. When the crate is moving, the frictional force between the floor and the crate has a magnitude of 122.0 N. If the crate starts from rest, how fast will it be moving after the man has pulled it a distance of 2.50 m?
one end of a uniform beam of mass 5 kg is mounted at the wall by...
one end of a uniform beam of mass 5 kg is mounted at the wall by hinges and the other end is held by a cable which is connected to the ceiling. The cable forms a 60 degree angle with the horizontal beam. Applying the equilibrium condition, find the force of tension at the cable and the vertical and horizontal components of the force of the hinge Fv and Fh on the beam and indicate their directions.
A uniform cylindrical turntable of radius 1.90 m and mass 28.2 kg rotates counterclockwise in a...
A uniform cylindrical turntable of radius 1.90 m and mass 28.2 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4π rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.49 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.80 m to the east of the axis. (a) Find the final angular speed of the clay...
A machine having a mass of 80 kg is mounted on springs of total stiffness 877...
A machine having a mass of 80 kg is mounted on springs of total stiffness 877 kN/m with an assumed damping factor of ?=0.25. A piston within the machine has a mass of 1.8 kg. This piston reciprocates with a stroke of 80 mm at a speed of 3000 rpm. The motion of the piston is assumed to be simple harmonic, and parallel to the axis of the springs. Determine the amplitude of the machine vibration resulting from the motion...
A uniform cylinder of radius 11 cm and mass 26 kg is mounted so as to...
A uniform cylinder of radius 11 cm and mass 26 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 8.6 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT