3. The projectile having a mass of 3 kg is fired from a cannon with a muzzle velocity of vo = 500 m/s. Determine the projectile's angular momentum about point O at the instant it is at the maximum height of its trajectory. 45 A. Ho 5.93 x 106 kg m²/s B. Ho 6.21 x 10 kg m/s C. Ho 6.76 x 10 kg m2/s D. Ho= 6.83 x 10 kg m²/s
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- 2. A mass is moving on xy plane as shown in the Figure. Find the angular momentum of the mass about the origin. y (0, 70) (- 50, 0) (0,0) v = 100 m/s m = 2 kgNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A system consists of three identical 15.32-lb particles A, B, and C. The velocities of the particles are, respectively, VA = VAJ, VB=vgi, and vc vck. The angular momentum of the system about O expressed in ft-lb-s is Ho = -1.2k. A 2 ft 2 ft B The velocity of particle A is ( The velocity of particle B is ( The velocity of particle Cis 1 ft VB 3 ft Determine the velocities of the particles. (You must provide an answer before moving to the next part.) ft/s)j. 0.59 ft/s)i. 4 ft ft/s)k.A dart gun contains a spring of spring constant k = 16 N/m which is used to shoot a dart of mass m. The dart leaves the gun at a speed of v = 3.1 m/s after the spring is compressed 1 cm. what is the darts speed when it hits the floor (vf in m/s) if it is fired horizontally at a height of h = 2 m what angle in degree does the darts final velocity make with the horizontal?
- 17. A bullet traveling with an initial speed vo enters an door imbedding Hinge itself from the side opposite the hinges, as shown in the overhead view of the figure. Ignoring air resistance and the friction due to the hingers, which of the following statements must be true? a. The angular momentum of the system consisting of the -18.0 kg door and the bullet is conserved. b. The linear momentum of the system consisting of the door and the bullet is conserved. 0.005 kg c. The total mechanical energy of the system consisting of the door and the bullet is conserved. d. The total kinetic energy of the system consisting of the door and the bullet is conserved.6. A merry-go-round has a moment of inertia I = 740.0 kg-m² and radius of 2.30m. A child with m = 34.0kg runs at the merry-go-round (MGR) at v = 2.60m/s. His straight line path would miss the center of the MGR by a distance of 1.30m. What is his angular momentum relative to the MGR center before reaching it? If the MGR is initially at rest, what is its angular speed after the child jumps on assuming the child stays at the outer rim? R m62
- 2. A thin square plate of mass m rotates on a smooth surface with an angular velocity of æn about its mass center. The hook then strikes the peg at P and the plate starts to rotate about point P with no rebound. What is the plate's angular velocity after impact, and the speed vg of the mass center of the plate?3. A person (treated as a red point object) of mass m₁ 50 kg is attached to a rod of length L = 1 m and mass M = 20 kg. Together, they are rotating counterclockwise around a pivot (green), with angular speed w = 2 rad/s: m2 = M, L Vo = m1 A ball (purple point object) of mass m₂ = 5 kg is thrown with speed vo 30 m/s at the person, who catches the ball just as the bar is oriented horizontally during its rotation (as seen in the figure). If the bar and person are stationary after the catch, how far away from the pivot was the ball thrown (that is, what is the length of the dashed black line)? Hint: Use the conservation of angular momentum.