3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5...
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius 2.10 m free to rotate about a frictionless axis through its center. A 40.0 kg child stands at the edge and the system is initially rotating at 0.300 rad/sec. The child begins to walk around the edge of the merry-go-round with a velocity of 0.250 m/s relative to the ground in the direction of the rotation. What is the angular velocity of the merry-go-round...
A disk-shaped merry-go-round of radius 2.93 m and mass 125 kg rotates freely with an angular speed of 0.621 rev/s . A 65.4 kg person running tangential to the rim of the merry-go-round at 3.51 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. What is the final angular speed of the merry-go-round?
A person of mass 80 kg stands at the center of a rotating merry-go-round platform of radius 3.5 m and moment of inertia 950 kg*m^2 . The platform rotates without friction with angular velocity 0.85 rad/s . The person walks radially to the edge of the platform. 1.Calculate the angular velocity when the person reaches the edge. w=______________ rad/s 2.Calculate the rotational kinetic energy of the system of platform plus person before the person's walk. Ki=____________ J 3.Calculate the rotational...
A merry-go-round modeled as a disk of mass 100 kg and radius 2.0 m is rotating around a frictionless vertical axle. After a person of mass 60 kg jumps onto the merry-go-round, the system’s angular speed decreases to 2.0 rad/s. If the person walks slowly from the edge toward the center, find the change in the system’s rotational kinetic energy caused by her movement to 0.5 m from the center.
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....
We can model a small merry-go-round as a uniform circular disk with mass 88 kg and diameter 1.8 m. How many 22 kg children need to ride the merry-go-round, standing right at the outer edge, to double the moment of inertia of the system?
A person of mass 70 kg stands at the center of a rotating merry-go-round platform of radius 3.4 m and moment of inertia 940 kg⋅m2 . The platform rotates without friction with angular velocity 1.6 rad/s . The person walks radially to the edge of the platform. Calculate the angular velocity when the person reaches the edge. In rad/sec Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk. In J.
A person of mass 77 kg stands at the center of a rotating merry-go-round platform of radius 2.8 mand moment of inertia 840 kg⋅m2 . The platform rotates without friction with angular velocity 0.95 rad/s . The person walks radially to the edge of the platform. Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.
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....
A person of mass 55 kg stands at the center of a rotating merry-go-round platform of radius 3.4 m and moment of inertia 670 kg · m2. The platform rotates without friction with angular velocity 2.0 rad/s. The person walks radially to the edge of the platform. (a) Calculate the angular velocity when the person reaches the edge. ......................... rad/s (b) Calculate the rotational kinetic energy of the system of platform plus person before the person's walk. ..........................J (c) Calculate...