1. Determine the angular momentum H,of the 3-kg particle about point O. 3 kg QA \6 m/s 2 m _ 2 m 2 m 1.5 m 1.5 m 1m 3 m B are 3 m

The uniform slender rod (6.7 kg) is pinned at point O. If a 7.6-g bullet shoots into the rod with a speed of 640 m/s and becomes embedded in it, determine the total angular momentum H (in kg•m²/s) about point O immediately after that. The rod and the bullet are considered one system. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². G 0.2 m ↓ Your Answer: 1 m Answer

4. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5465 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 Ib Tc. Neglect friction between the car and the track. Determine how far the car travels in 15 seconds. Model this as a particle at G. 24 in. B 25 in. 30 in. 25 in.

The sphere of mass m1 = 5 kg falls from a height H = 1.4 m onto the homogeneous board of negligible mass. The board can rotate around a horizontal axis passing through point O, and a body of mass m2 = 3.9 kg is placed on it at a distance b = 1 m from the axis of rotation. The collision is perfectly inelastic. How high does the body of mass m2 rise after the collision (in m) if a = 0.5 m?

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1. (bold type indicates a vector) An object of mass m = 10 kg may rotate in a vertical plane about the fixed point P under the action of gravity. The distance d from the point P to the center of mass C is d = 0.5 m. The moment of inertia Ie about the center of mass C is unknown. The object starts at rest in the position shown and is then released. At the instant of release the acceleration of the center of mass is measured to be a, = (-5 m/sec²)j (i.e., downward). Use the given information to determine the moment of inertià I, about the center of mass. Use g = 10 m/sec?. gravity w go P (f ixed)

Part A The system is released from rest at 0= 0° when a constant couple moment M = 100 N·m is applied. (Figure 1) If mass of the cable and links AB and BC can be neglected, and each pulley can be treated as a disk having a mass of 6 kg, determine the speed of the 20-kg block at the instant link AB has rotated 0-90°. Note that point C moves along the vertical guide. Also, the cable does not slip on the pulleys. Express your answer to three significant figures and include the appropriate units. HÅ 1" UP 3.23 A C EWC ? m S Submit Previous Answers Request Answer X Incorrect: Try Again: 4 attempts remaining 50 mm F 200 mm BO E 100 mm V 0 -50 mm D M 100 Nm A