1. Determine the velocity of the 40-kg cylinder after it has descended a distance of 2 m. Initially, the system is at rest. The reel has a mass of 25 kg and a radius of gyration about its center of mass A of ka = 125 mm. 75 mm
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![1. Determine the velocity of the 40-kg cylinder after it has descended a distance of 2 m. Initially,
the system is at rest. The reel has a mass of 25 kg and a radius of gyration about its center of
mass A of ka = 125 mm.
75 mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84ad8196-064c-45b3-8864-8095e644d509%2F634da945-5dbf-41db-9d60-a7cfd45020f4%2F26o6pun_processed.jpeg&w=3840&q=75)
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- 250 m/s 140 m/s Pivot A uniform stick 1.0 m long with a total mass of 250g pivoted at its center. A 8.0-g bullet is shot through the stick midway between the pivot and one end. The bullet approaches 250 m/s and leaves at 145 m/s. With what angular speed is the stick spinning after the collision?1. Two particles with masses m1 and m2 respectively are connected by a solid weightless rod of length a, moving freely in a plane. See that the moment of inertia of the system with respect to an axis perpendicular to the plane and passing through center of mass is μa², where u is the reduced mass of the system.5. Consider a frictionless ice ball with a radius R = 10 m. A box initially at rest begins to slip from the top of the ice ball, and follows the surface until it loses contact. Find the height (with the ground as the reference) of the box at the moment it leaves the surface of the ice ball. [Hint: on the verge of losing contact the normal force on the box from the ice ball becomes zero].
- NOTE: 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.Among the elderly population, a sideway fall is a most frequent cause of hip fracture. An old man of mass 65 kg and height 1.7m was sent to Prince of Wales Hospital due to sideway fall. He slipped and fell laterally down with a straight body. Before falling, his centre of mass was 0.9 m above ground. His centre of mass was on the ground at the end of the fall. The radius of gyration about the anterior-posterior axis at his centre of mass was 0.55 m. (a) Calculate the initial potential energy before his fall. (b) Assuming his potential energy would be converted to linear kinetic energy of his centre of mass and rotational kinetic energy about his centre of mass, calculate the impact velocity v of his centre of mas right before he hit the ground. C. M. 1.7m 0.9mA uniform, thin, spherical shell of radius, R, and mass, m, is rolling without slipping or sliding on a level surface. If the center-of-mass velocity of the ball is vCM what is the total kinetic energy of the ball? Hint: 2/3 mR2
- WEE21 2(0.ss 26.ss) O= 400,9 %3D 6) .2m 2 metal disks, one with radius 20 cm and mass 0.5 kg, and the other with radius Sm 50 cm and mass 1 kg, are welded together and mounted on a frictionless axis through their common center. A light string is wrapped around the edge of the smaller disk, and a 1.50 kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.40 m above the floor, what is its speed just before it strikes the floor? answer in m/s, use g=10 m/s? laib totion ed R2 不 R 1.50 kg a) 2,32 b) 3,84 C) 8,41 d) 4.47. A part of a mechanical linkage has a mass of 3.6 kg. Its moment of inertia Ip about an axis 0.15 m from its center of mass is Ip = 0.132 kgm². What is the moment of inertia Icm about a parallel axis through the center of mass? (0.051 kgm²) cm Axis through center of mass Axis through P1. in the figure, a solid 0.2 kg ball with radius 0.4 m rolls smoothly along a horizontal frictionless plank with linear velocity of 4 m/s before elastically colliding with another solid ball of mass 0.1 kg standing at rest on the top of the ramp at height H = 7 m. After the collision 0.1 kg ball rolls smoothly down the ramp until it reaches the horizontal section at the end of the track, at height h = 2 m, and flies off the ramp. What will be the velocity of the second ball just before it flies off the ramp? %3D