A merry-go-round is rotating at an angular speed of 0.2 radians/s. Its motor falls off and it rotates freely. A technician jumps on the edge along the direction of the radius. The angular velocity after he lands is 0.04 radians/s. The moment of inertia of the technician, in (kg m2) with respect to the axis of the merry-go-round’s axis of rotation is 5000 kg m2 . What is the moment of inertia of the merry-go-round?
A merry-go-round is rotating at an angular speed of 0.2 radians/s. Its motor falls off and...
A 3.9-m-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s . Its total moment of inertia is 1350 kg⋅m2 . Four people standing on the ground, each of mass 68 kg , suddenly step onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now?
A 4.5-m-diameter merry-go-round is rotating freely with an angular velocity of 0.84 rad/s . Its total moment of inertia is 1700 kg⋅m2 . Four people standing on the ground, each of mass 68 kg , suddenly step onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now? What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?
A 5.8 m diameter merry-go-round is rotating freely with an angular velocity of 0.50 rad/s. Its total moment of inertia is 2400 kg·m2. Four people standing on the ground, each of 65 kg mass, suddenly step onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now?
A 4.4-m-diameter merry-go-round is rotating freely with an angular velocity of 0.90 rad. Its total moment of inertia is 1360 kg⋅m2 . Four people standing on the ground, each of mass 62 kg , suddenly step onto the edge of the merry-go-round. A) What is the angular velocity of the merry-go-round now? B) What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?
A 4.0-mm-diameter playground merry-go-round, with a moment of inertia of 400 kg⋅m2kg⋅m2 is freely rotating with an angular velocity of 2.5 rad/srad/s . Ryan, whose mass is 75 kgkg , runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. Still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt. How fast was Ryan running when he jumped on? How fast was Ryan running...
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed 0.50 rad/s in the clockwise direction about a fixed axis. A child of mass 40 kg runs tangentially to the merry-go-round with speed 3.0m/s and grabs onto the outside edge of the merry-go-round. a. What is the final angular velocity of the system (merry-go-round plus child)/ What is the final tangential speed of the child? b. What is the change in kinetic energy? c....
A 40.0-kg child running at 3.00 m/s suddenly jumps onto a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round. The child is traveling tangential to the edge of the merry-go-round just before jumping on. The moment of inertia about its axis of rotation is 600 kg ? m2 and very little friction at its rotation axis. What is the angular speed of the merry-go-round just after the child has jumped onto it?...
A merry-go-round is rotating about its axis by 20.0rpm when a student with mass of 75.0 kg is at 1.0 m from the center. He starts moving toward the edge. Find angular velocity of total system when student is on the edge of merry-go-round. Merry-go-round has mass of 100 kg and radius of 3.0m and moment of inertia of disk is l= 1/2 MR2. Moment of inertia of boy is mR2. (use conservation of angular momentum)
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...
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....