A 75 g, 32-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 11 g ball of clay traveling horizontally at 2.6 m/s hits and sticks to the very bottom tip of the rod.
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- A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side, acting as its axis of rotation. The rod has a rotational inertia of 20 kgm2. The sticky mass collides and attaches itself to the rod 0.3 m away from its axis of rotation. The rotational inertia of the rod after the collision is (20 + mr2) where m is 5 kg and r is the distance away from the axis of rotation that the mass attaches itself to the rod. Calculate the angular velocity of the rod and mass after the collision.A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side, acting as its axis of rotation. The rod has a rotational inertia of 20 kgm2. The sticky mass collides and attaches itself to the rod 0.3 m away from its axis of rotation. The rotational inertia of the rod after the collision is (20 + mr2) where m is 5 kg and r is the distance away from the axis of rotation that the mass attaches itself to the rod. Calculate the angular velocity of the rod and mass after the collision.A 550.0 g bird is flying horizontally at 2.50 m/s, not paying much attention, when it suddenly flies into a stationary vertical bar, hitting it 25.0 cm below the top. The bar is uniform, 0.700 m long, has a mass of 1.50 kg kg, and is hinged at its base. The collision stuns the bird so that it just drops to the ground afterward (but soon recovers to fly happily away). A- What is the angular velocity of the bar just after it is hit by the bird? Express your answer in radians per second. W1 = rad/s B- What is the angular velocity of the bar just as it reaches the ground? Express your answer in radians per second.
- Determine the angular momentum Hp of the 4-kg particle about point P.A "Lazy Susan" food tray is being rotated by a person in quest of sustenance. Suppose the person exerts a 2.60 N force perpendicular to the Lazy Susan's 0.260 m radius for 0.240 s. (a) What is the final angular momentum of the Lazy Susan, in kg · m²/s, if it starts from rest, assuming friction is negligible? 0.16224 kg. m²/s (b) What is the final angular velocity of the Lazy Susan in rev/s, given that its mass is 2.80 kg and assuming its moment of inertia is that of a disk? X The Lazy Susan is in the form of a solid disk. rev/sA uniform thin rod of length 0.48 m and mass 3.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.2 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle 0 = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 9.00 rad/s immediately after the collision, what is the bullet's speed just before impact? Axis Number i Units
- On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% and the trunk and legs account for 80%. We can model a spinning skater with her arms outstretched as a vertical cylinder (head, trunk, and legs) with two solid uniform rods (arms and hands) extended horizontally. Suppose a 72.0 kg skater is 1.50 m tall, has arms that are each 72.0 cm long (including the hands), and a trunk that can be modeled as being 36.0 cm in diameter. If the skater is initially spinning at 84.0 rpm with her arms outstretched, what will her angular velocity a be (in rpm) after she pulls in her arms and they are at her sides parallel to her trunk? Assume that friction between the skater and the ice is negligble. 02 = rpm about us careers privacy policy terms of use contact us help 2 tv MacBook AirA barbell consists of two small balls, each with mass 400 grams (0.4 kg), at the ends of a very low mass rod of length d = 45 cm (0.45 m). The center of the barbell is mounted on the end of a low mass rigid rod of length b = 0.675 m (see Figure), and this rod rotates clockwise with angular speed 140 rad/s. In addition, the barbell rotates clockwise about its own center, with an angular speed 120 rad/s.A disk-shaped merry-go-round of radius 2.53 mm and mass 135 kg rotates freely with an angular speed of 0.641 rev/s . A 65.4 kg person running tangential to the rim of the merry-go-round at 3.51 m/sm/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. What is the final angular speed of the merry-go-round?
- As shown in Figure , a 0.500 kg stone moving horizontally with a speed of 2.25 m/s collides with a 0.750 m long stationary vertical uniform rod. The rod has a mass of 1.50 kg and is fixed to the ground by a frictionless hinge. After the collision, the stone drops vertically down to the ground. What is the angular speed of the rod just after the collision? 0.25 m A) 2.00 rad/s B) 1.00 rad/s C) 3.00 rad/s D) 4.00 rad/s E) 5.00 rad/s stone v = 2.25 m/s 0.75 m HingeA 45 kg figure skater is spinning on the toes of her skates at 1.5 rev/s. Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg, 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 70 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head. In this latter orientation, she can be modeled as a 45 kg, 20-cm-diameter, 200-cm-tall cylinder.What is her new rotation frequency, in revolutions per second?Express your answer in revolutions per second.On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% and the trunk and legs account for 80%. We can model a spinning skater with her arms outstretched as a vertical cylinder (head, trunk, and legs) with two solid uniform rods (arms and hands) extended horizontally. Suppose a 75.0 kg skater is 1.80 m tall, has arms that are each 66.0 cm long (including the hands), and a trunk that can be modeled as being 33.0 cm in diameter. If the skater is initially spinning at 82.0 rpm with her arms outstretched, what will her angular velocity ?2 be (in rpm) after she pulls in her arms and they are at her sides parallel to her trunk? Assume that friction between the skater and the ice is negligble.