7) A turntable with moment of inertia IT = 0.042 kg m2 and radius R = 0.24 m is rotating with ω = 0.68 rad/s. A mouse of mass m = 0.053 kg is standing on the edge of the turntable. a) What are the total moment of inertia and the total angular momentum of this system? b) If the mouse walks towards the center of the turntable, does the angular velocity increase or decrease? Explain the answer conceptually. c) What would the angular velocity be once the mouse reaches the center?
7) A turntable with moment of inertia IT = 0.042 kg m2 and radius R = 0.24 m is rotating with ω = 0.68 rad/s. A mouse of...
A turntable has a radius of 0.80 m and a moment of inertia of 2.0 kg m2. The turntable is rotating with an angular velocity of 1.5 rad/s about a vertical axis though its center on frictionless bearings. A very small 0.40-kg ball is projected horizontally toward the turntable axis with a velocity of 3.0 m/s. The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable (see figure). a) What is the...
A carousel has a radius of 1.70 m and a moment of inertia of 130 kg · m2 . A girl of mass 46.5 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.20 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.2 rad/s. How far from the center did the...
A carousel has a radius of 1.65 m and a moment of inertia of 126 kg · m2 . A girl of mass 48.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.10 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.0 rad/s. How far from the center did the...
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 turntable with a rotational inertia 0.215 kg middot m^2 is rotating at 3.35 rad/s. Suddenly, a disk with rotational inertia 0.106 kg times m^2 is dropped onto the turntable with its center on the rotation axis. Assuming no outside forces act, what's the common rotational velocity of the turntable and disk?
1. What is the angular momentum of a 0.240-kg ball rotating on the end of a thin string in a circle of radius 1.35 m at an angular speed of 15.0 rad/s ? 2. A diver can reduce her moment of inertia by a factor of about 4.0 when changing from the straight position to the tuck position. If she makes 2.0 rotations in 1.5 s when in the tuck position, what is her angular speed (rev/s) when in the...
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)?
1. IP A turntable with a moment of inertia of 5.2×10−3 kg⋅m2 rotates freely with an angular speed of 3313rpm . Riding on the rim of the turntable, 19 cm from the center, is a cute, 32 g mouse.A) If the mouse walks to the center of the turntable, will the turntable rotate faster, slower, or at the same rate? (Answer is Slower)B) Explain.C) Calculate the angular speed of the turntable when the mouse reaches the center.2. One elevator arrangement...
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 flat horizontal disc of moment of inertia 2.2 kg m2 is rotating at 4.5 rad s-1 about a vertical axis through its centre. A 0.13 kg mass is dropped onto the disc, landing without slipping 1.4 m from the centre. Calculate the new angular velocity of the disc, in rad s-1 , to 2d.p.