A projectile of mass m is launched with an initial velocity vi making an angle θ with the horizontal as shown below. The projectile moves in the gravitational field of the Earth. Find the angular momentum of the projectile about the origin when the particle is (a) at the origin, (b) at the highest point of its trajectory, and (c) just before it hits the ground. (d)What torque causes its angular momentum to change? (Use the following as necessary: vi, θ, m, and g for the acceleration due to gravity.)

A proton is accelerated in a cyclotron from rest to 5.2 × 10° m/s in 0.07 s. The proton follows a circular path. If the radius of the cyclotron is 0.3 km, answer the following. (a) What is the angular momentum of the proton about the center at its maximum speed? (Enter the magnitude in kg · m2/s.) kg · m2/s (b) What is the torque on the proton about the center as it accelerates to maximum speed? (Enter the magnitude in N. m.) N• m

(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.) 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. magnitude  kg · m2/sdirection ---Select--- +x −x +y −y +z −z (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 13.5 cm in diameter? (Round your answer to at least two decimal places.)   kg · m2/s

A uniform cylinder of radius 27 cm and mass 16 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 7.8 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position? (a) Number i Units (b) Number Units

An automobile traveling 58.0 km/h has tires of 71.0 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 37.0 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)

An automobile traveling 76.0 km/h has tires of 80.0 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 19.0 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 (b) Number i (c) Number i Units Units Units

A uniform cylinder of radius 10 cm and mass 20 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 5.0 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position?

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 Units

A cylinder with moment of inertia I, rotates with angular velocity w, about a frictionless vertical axle. A second cylinder, with moment of inertia I,, initially not rotating, drops onto the first cylinder. Because the surfaces are rough, the two cylinders eventually reach the same angular speed w. After i Before (a) Calculate w. (Use the following as necessary: I,, I,, and @o: ) I1 W = (Il + 12) (b) Show that kinetic energy is lost in this situation. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. Calculate the ratio of the final to the initial kinetic energy. (Use the following as necessary: I,, 1,, and wo:) KEF KE i

a 0.400 kg ball is shot directly upward at initial speed 76.5 m/s. What is its angular momentum about P, 8.72 m horizontally from the launch point, when the ball is (a) at maximum height and (b) halfway back to the ground? What is 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?   i need the answered to d