Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the angular momentum of the running child about the axis of rotation of the merry-go-round, and (c) the angular speed of the merry-go-round and child after the child has jumped on.
Q: -55.0-kg woman stands at the rim of a horizontal turntable having a ertical axle through its center.…
A: The questions are answered below
Q: À 55.0-kg woman stands at the rim of a horizontal turntable having a moment of Inertia of 540 kg ·m2…
A: mass of woman (m) = 55 kg moment of inertia of turntable (I) = 540 kgm2radius (r) = 2 m initial…
Q: A board of mass M = 2.00 kg and thickness t = 0.200 m is placed on top of a cylinder of mass m =…
A:
Q: An automobile traveling 65.0 km/h has tires of 60.0 cm diameter. (a) What is the angular speed of…
A:
Q: A bowler throws a bowling ball of radius R=10.0 cm along a lane at t=0. The ball slides on the lane…
A:
Q: A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope…
A:
Q: Neutron stars are extremely dense objects that are formed from the remnants of supernova explosions.…
A: Given values - Mass of Sun=Ms =1.99×1030 kgMass of Neutron=MN =2×MsMass of Neutron=MN =3.98×1030…
Q: A block of mass m1 = 1.50 kg and a block of mass m2 = 6.25 kg are connected by a massless…
A:
Q: A 55.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 420 kg ·…
A: Given:- A 55.0-kg woman stands at the rim of a horizontal turntable having a moment of…
Q: Earth has a mass of 6.0 x 1024 kg, a radius of 6.4 x 105 m, and an angular velocity of 1.2 x 105…
A:
Q: A playground merry-go-round of radius 2.00 m has a moment of inertia I = 245 kg-m² and is rotating…
A: herelet Initial moment of inertia of systemIi=245+MR12Ii=245+2512=270 kg m2w1=14 revmin
Q: An automobile traveling 69.0 km/h has tires of 70.0 cm diameter. (a) What is the angular speed of…
A: Ans:- Image-1
Q: One popular design of a household juice machine is a conical, perforated stainless steel basket 3.30…
A: Given that, the diameter D of top side of bucket is 13.40 cm or 0.134 m and radius R is 0.067 mThe…
Q: A 70.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 480 kg m²…
A:
Q: In a double-star system, two stars of mass 4.9 x 1030 kg each rotate about the system's center of…
A:
Q: Two 3.90 kg balls are attached to the ends of a thin rod of length 29.0 cm and negligible mass. The…
A:
Q: A 53.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 570 kg ·…
A: Given, mass of woman, mw=53.0 kg moment of inertia of turntable, IT= 570 kg · m2 radius, r = 2.00 m…
Q: A cockroach of mass m lies on the rim of a uniform disk of mass 3.00 m that can rotate freely about…
A:
Q: An automobile traveling 70.0 km/h has tires of 73.0 cm diameter. (a) What is the angular speed of…
A:
Q: 65.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 540 kg · m2…
A:
Q: An automobile traveling 73.0 km/h has tires of 74.0 cm diameter. (a) What is the angular speed of…
A:
Q: An automobile traveling 72.0 km/h has tires of 70.0 cm diameter. (a) What is the angular speed of…
A:
Q: A 70.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 480 kg m²…
A:
Q: "A playground merry-go-round of radius R = 2.00 m has a moment of inertia I= 250 kg m and is…
A:
Q: An automobile traveling 53.0 km/h has tires of 71.0 cm diameter. (a) What is the angular speed of…
A:
Q: A person who walks through the revolving door exerts a horizontal force of magnitude F-62 N on one…
A:
Q: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely…
A:
Q: uniform cylindrical turntable of radius 1.80 m and mass 30.4 kg rotates counterclockwise in a…
A: Use conservation of angular momentum.
Q: A discus thrower moves the discus in 2.40 complete revolutions about his body in 1.43 s (starting…
A:
Q: In a double-star system, two stars of mass 2.7 x 1030 kg each rotate about the system's center of…
A: mass of each star (m) = 2.7×1030 kg radius (r) = 1.1×1011 m
Q: The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk…
A:
Q: A bowling ball of radius 8.5 cm is tossed onto a bowling lane with speed 9.0 m/s. The direction of…
A: a. the frictional force acting on the ball is
Q: ameter 8.00 2000 revolutions per Taxis. Solid pieces of fruit are choppe opular design of a Machine…
A:
Q: In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it.…
A: (a) To determine The maximum angular speed of the roller. To determine: The time at which the…
Q: A 65.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 480 kg ·…
A: It is given that,
Q: A 70.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 420 kg ·…
A: As per the given data, Mass of the women (m) = 70 kg; Moment of inertia of table (It) = 420 kg-m2;…
Q: a) In what direction does the turntable rotate? counterclockwise clockwise With what angular…
A: Conservation of Angular Momentum According to the law of conservation of angular momentum, the…
Q: A 150-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in…
A: Write the given values with the suitable variables. m=150kgr=1.5 mω0=0 rad/sω=0.5 rev/s=0.52π…
In a playground, there is a small merry-go-round of radius 4.30 m and mass 150 kg. Its radius of gyration is 3.60 m. A child of mass 32.0 kg runs at a speed of 1.60 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on. Neglect friction between the bearings and the shaft of the merry-go-round. Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the

Trending now
This is a popular solution!
Step by step
Solved in 3 steps

- A uniform disk of mass 7.00m and radius 7.00r can rotate freely about its fixed center like a merry-go-round. A smaller uniform disk of mass m and radius r lies on top of the larger disk, concentric with it. Initially the two disks rotate together with an angular velocity of 14.0 rad/s. Then a slight disturbance causes the smaller disk to slide outward across the larger disk, until the outer edge of the smaller disk catches on the outer edge of the larger disk. Afterward, the two disks again rotate together (without further sliding). (a) What then is their angular velocity about the center of the larger disk? (b) What is the ratio K/K0 of the new kinetic energy of the two-disk system to the system's initial kinetic energy?One popular design of a household juice machine is a conical, perforated stainless steel basket 3.30 cm high with a closed bottom of diameter 8.00 cm and open top of diameter 13.40 cm that spins at 23000 revolutions per minute about a vertical axis. Solid pieces of fruit are chopped into granules by cutters at the bottom of the spinning cone. Then the fruit granules rapidly make their way to the sloping surface where the juice is extracted to the outside of the cone through the mesh perforations. The dry pulp spirals upward along the slope to be ejected from the top of the cone. The juice is collected in an enclosure immediately surrounding the sloped surface of the cone. Pulp D Motor Spinning basket Juice spout (a) What centripetal acceleration does a bit of fruit experience when it is spinning with the basket at a point midway between the top and bottom? m/s² ---Direction--- (b) Observe that the weight of the fruit is a negligible force. What is the normal force on 1.50 g of fruit at…The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.8 cm and a mass of 22 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3s the disk has an angular velocity of 210 rad/s counterclockwise. Force F₁ has a magnitude of 0.105 N. What is magnitude F₂? F Number Units F2
- The Earth has an angular speed of 7.272 10-5 rad/s in its rotation. Find the new angular speed if an asteroid (m = 1.22 1022 kg) hits the Earth while traveling at a speed of 1.45 103 m/s (assume the asteroid is a point mass compared to the radius of the Earth) in each of the following cases. (a) The asteroid hits the Earth dead center along the radial line from the Sun through the Earth's center. (b) The asteroid hits the Earth nearly tangentially in the direction of Earth's rotation. (c) The asteroid hits the Earth nearly tangentially in the direction opposite to Earth's rotation.A 55.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 560 kg · m? and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless vertical axle through its center. The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.50 m/s relative to the Earth. (a) In what direction does the turntable rotate? O clockwise O counterclockwise with what angular speed does the turntable rotate? rad/s (b) How much work does the woman do to set herself and the turntable into motion?Two 3.40 kg balls are attached to the ends of a thin rod of length 44.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 73.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 2.97 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putty wad Rotation axis (a) Number i Units (b) Number i Units Units i (c) Number
- An automobile traveling 70.0 km/h has tires of 64.0 cm diameter. (a) What is the angular speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 25.0 complete turns of the tires, what is the magnitude of the angular acceleration of the wheels? (c) How far does the car move during the braking? (Note: automobile moves without sliding) (a) Number i Units (b) Number i Units (c) Number i UnitsA hoop of mass 3.00 kg and radius 1.00 m is moving at 3π rad/s across a horizontal surface. The coefficient of friction between the hoop and the surface is 0.65. Calculate how far the hoop will travel before it comes to rest.A playground merry-go-round with an axis at the center (radius R = 1.5 m and rotational inertia | = 1.33 x 103 kgm²) is initially rotating at angular velocity wo = 1.1 rad/s (counter-clockwise). A girl of mass m = 39 kg is running at speed vo = 3.3 m/s in a direction tangent to the disk of the merry-go-round, intending to jump on to the point labeled with the green "x" (she is indicated by the purple circle in the figure). What is the angular momentum of the girl relative to the rotation axis of the merry-go-round? Your answer should be in kgm²/s, but enter only the numerical part in the box. R Wo
- An automobile traveling 85.0 km/h has tires of 78.0 cm diameter. (a) What is the angular speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 21.0 complete turns of the tires, what is the magnitude of the angular acceleration of the wheels? (c) How far does the car move during the braking? (Note: automobile moves without sliding) (a) Number Units (b) Number i Units (c) Number i Units >A flat uniform circular disk (radius = 6.22 m, mass=320 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 51.0-kg person, standing 2.32 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 3.00 m/s relative to the ground. Find the resulting angular speed (in rad/s) of the disk.In the figure, a 0.400 kg ball is shot directly upward at initial speed 51.9 m/s. What is the magnitude of its angular momentum about P, 6.03 m horizontally from the launch point, when the ball is (a) at maximum height and (b) halfway back to the ground? What is the magnitude of the torque on the ball about P due to the gravitational force when the ball is (c) at maximum height and (d) halfway back to the ground? Ball (a) Number Units (b) Number Units (c) Number Units (d) Number Units