The angular momentum of the system will remain conserved as there is no external torque involved. We know,
Angular momentum = (Moment of Inertia) x (angular velocity)
Consider the merry go-round to be rotating with the child at a certain angular velocity. When the child jumps of, we have to view the angular velocity of the child with respect to the centre. If the velocity increases in the direction of angular velocity (d), the final momentum of the child increases and as the total momentum is conserved, the momentum of the merry go-round will reduce and hence the angular velocity reduces. This can also be understood in terms of force. To push forward, the child pushes the merry go-round backwards and hence provides a negative torque that retards it. Similarly, it would lead to increase in angular velocity of merry go-round when the child jumps backwards(b). Angular momentum of jumping child is negative and hence the angular momentum of merry go-round becomes more positive such that total is equal to initial angular momentum. In the other two cases (a and c) the motion is perpendicular to the tangential direction. Due to inertia, the child still has the same velocity wchich it had just before jumping. Hence angular momentum along the inital axis will not change. Hence, angular velocity remains the same.
Suppose a child gets off a rotating merry-go-round. Does the angular velocity of the merry-go-round increase,...
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....
Starting at rest, a child applies a 63N force tangent to the edge of a merry-go-round through 31 2 rotations. At that moment, she stops and admires her spinning merry-go-round. Then she jumps onto the edge of the merry-go-round. The girl’s mass is 25kg, the merry-go-round’s moment of inertia is 70kg· m2, and the merrygo-round’s diameter is 2.0m. What is the final angular speed of the girl and merry-go-round? Child applies tangential force. Fan
What happens to the angular speed of a rotating merry go round if a child on the merry go round leaves the horse on the outer edge and moves to the cow near the center of the merry go round? a) it increases b) it decreases c) it stays the same d) impossile to determine
Q3 At a given instant, the merry-go-round is rotating with an angular velocity w = 20 rpm while the child is moving radially outward at a constant rate of 0.7 m/s. Assuming that the angular velocity of the merry-go- round remains constant, i.e.. = 0, determine the magnitudes of the speed and of the acceleration of the child when he is 0.8 m away from the spin axis. 04. Determine the magnitude of the ag and ag at the instant...
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 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 2.44-m radius playground merry-go-round has a mass of 109.8 kg and is rotating with an angular velocity of 0.71 rev/s. What is its angular velocity after a 45.8-kg child gets onto it by grabbing its outer edge? The child is initially at rest.
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 1.80 m radius playground merry-go-round has a mass of 120 kg and is rotating with an angular velocity of 0.330 rev/s. What is its angular velocity, in rev/s, after a 29.0 kg child gets onto it by grabbing its outer edge? The child is initially at rest.
4. Two children, A and B, each having a mass of 30 kg sit at the edge of the merry-go-round nwhich is rotating at 2 rads Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration ofk,-06 m 0.75 m 0.75 m 2 rad/s Use 4 significant figures Be carefiul with units and signs. a. Initial total angular momentum pts. b. If child A jumps off hoeizoetally in the-a directice with a speed of...