A kid rides on the edge of a merry-go-round as it rotates counterclockwise (when viewed from above). The kid holds a ball straight out from the edge of the merry-go-round and releases it. Which is the correct path followed by the ball after it is released?
A kid rides on the edge of a merry-go-round as it rotates counterclockwise (when viewed from...
A boy of mass 35.2 kg is standing on the edge of a merry-go-round which is at rest. The merry-go-round is a flat disk of mass 59.3 kg and radius 2.3m (the moment of inertia of a cylinder is ½ mr^2 ), turning on a frictionless pivot. The boy starts to walk around the edge of the merry-go-round in the clock-wise direction (when viewed from the top). When the boy is moving at 2.4 m/s relative to the merry-go-round: a....
A uniform circular disk (merry-go-round) of radius R=2.19 m and mass M=21.9 kg freely rotates about a vertical axis, which is perpendicular to the ground, with initial angular velocity omegai=3.05 rad/s. A cat of mass m=8.70 kg, climbing in a tree, which hangs over the disk, falls straight down onto the edge of the disk and rides on it. The cat decides to walk inward and sits down R/2 m from the center. What is now the magnitude of the...
A disk-shaped merry-go-round of radius 2.63 m and mass 155 kg rotates freely with an angular speed of 0.673 rev/s. A 59.4 kg person running tangential to the rim of the merry-go-round at 3.17 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. (a) Does the kinetic energy of the system increase, decrease, or stay the same when the person jumps on the merry-go-round?...
Two bugs sit on a merry-go-round. The Ladybug is on the edge. The Gent bug is halfway between her and the axis of rotation. The merry-go-round rotates at a constant rate of one revolution each second. Which bug has to hold on tighter? (Assume they both have approximately the same mass.)
A disk-shaped merry-go-round of radius 2.63 m and mass 155 kg rotates freely with an angular speed of 0.692 rev/s. A 59.4 kg person running tangential to the rim of the merry-go-round at 3.27 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. (a) Does the kinetic energy of the system increase, decrease, or stay the same when the person jumps on the merry-go-round?...
An 85.0 kg child runs in a straight line towards the edge of a stationary merry-go-round at 2.50 m/s. The merry-go-round is in the shape of a disk and has a diameter of 4.50 m and a mass of 235 kg. The child jumps onto and stays on the merry-go- round. What is the angular momentum of the child before this collision, in kg m2/s? (A) What is the moment of inertia of the merry-go-round, in kg m27 [B) What...
A merry-go-round of radius r= 2.0 m and moment of 500 kg.m^2 rotates about a frictionless pivot. It makes one revolution every 5 seconds. A child of mass 25kg walks from the center (r=0) to the edge (r=R). How long does it take the merry-go-round to make one revolution when the child is standing at the edge? (The moment of inertia of a circular disc is I=1/2mR^2) Is this process elastic? (That is, is the kinetic energy the same when...
A girl (named Mary? Get it?) stands at the outer edge of a merry-go-round at distance 2.3m from the center. The merry-go-round is rotating at 22 rpm. The girl has a mass of 30kg, and the merry-go-round has a moment of inertia of 1300kgm^2 (a) What is the moment of inertia of the girl as she rotates around the center of the merry-go-round? (b) What is the angular velocity of the merry-go-round? rad/s (c) What is the total moment of...
4. Cons ider the case of a rotating merry-go-round platform of mass of 310 kg and radius 3.40 m. A person of mass 85 kg is standing on the outer edge of the merry-go-round platform. The merry-go- round platform with the person standing on its edge, rotates without friction about its central vertical axle with an angular speed of 2.30 rad/s. The person then jumps off the merry-go-round along a line radially outward from the central axle of the platform....
Again, looking down from a stationary tree branch, a merry-go-round with a 1 meter radius spins in a counter-clockwise direction with an angular velocity of 1 radian per second. From your viewpoint, a bird of mass 0.2kg flies in a straight line over the axis of the merry-go-round at a uniform speed of 2m/s. Consider three instants: when the bird first crosses the outer edge of the merry-go-round; when the bird crosses the center of the merry-go-round; and, finally, when...