A satellite is spinning at 6.0 rev/s. The satellite consists of a main body in the shape of a sphere of radius 2.0 m and mass 10,000 kg, and two antennas projecting out from the center of mass of the main body that can be approximated with rods of length 3.0 m each and mass 10 kg. The antenna’s lie in the plane of rotation. What is the angular momentum of the satellite?

A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.

The position vector of a particle of mass 2.00 kg as a function of time is given by r=(6.00i+5.00tj), where r is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time.

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 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. (a) Number 2540 Units kg-m^2 (b) Number 2.20E2 Units kg-m^2/s (c) Number 0.0868 Units rad/s

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 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.

In a game of pool, ball A is rolling without slipping with a velocity V0 as it hits obliquely ball B , which is at rest. Denoting by r the radius of each ball and by μk the coefficient of kinetic friction between a ball and the table, and assuming perfectly elastic impact, determine (a ) the linear and angular velocity of each ball immediately after the impact, (b ) the velocity of ball B after it has started rolling uniformly.

In a playground, there is a small merry-go-round of radius 1.60 m and mass 150 kg. Its radius of gyration is 1.20 m. A child of mass 42.0 kg runs at a speed of 2.50 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 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. (a) Number i Units (b) Number i Units (c) Number i Units

Answer the question in full details, thank you very much: A metal can containing condensed mushroom soup has a mass of m = 247 g, a height of h = 15.7 cm,and a diameter of D = 6.67 cm. Itis placed at rest on its side at the top of a L = 3.11 m-long incline thatis at an angle of Angle = 24.3 deg to the horizontal; the can is then released to roll down the incline, reachingthe bottom t = 1.53 s later. Assuming energy is conserved, calculate the moment of inertia of the can inkg-cm^2 (not kg-m^2).

(a) A light, rigid rod of length ℓ = 1.00 m joins two particles, with masses m1 = 4.00 kg and m2 = 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 6.00 m/s. (Enter the magnitude to at least two decimal places in kg · m2/s.)   (picture) Two masses m1 and m2 are connected by a rod of length ℓ centered on the origin of an x y coordinate plane. The rod is rotating counterclockwise about the origin such that the masses each have tangential velocity vector v.A dashed circle outlines the path of the masses.   (b) What If? What would be the new angular momentum of the system (in kg · m2/s) if each of the masses were instead a solid sphere 13.0 cm in diameter? (Round your answer to at least two decimal places.) kg · m2/s