A disk of mass m, = 60.0 g and radius r, = 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 14.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m, = 140 g, a radius r, = 5.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). (a) What is the magnitude of the angular momentum (in kg · m2/s) of the two-disk system relative to its center of mass? 0.05586 v kg - m2/s (b) What is the angular speed (in rad/s) about the center of mass? 4.2641 What is the momen disk about its center? How.can vou Use this and th e parallel axis theorem to find the moment of inertia of the disk about the common center of mass of the

The 29-1b rectangular plate is at rest on a smooth horizontal floor. It is given the horizontal impulses as shown in (Figure 1). Assume I = 20 lb. s. Figure 0.5 ft 5 lb.s 60% 2 ft -0.5 ft-- Part A Determine its angular velocity. Express your answer in radians per second to three significant figures. IVE ΑΣΦΑ ↓↑ vec w = 37.747 Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Submit ***** Determine the magnitude of the velocity of the mass center. Express your answer in feet per second to three significant figures. VG = 22.2 ft/s Previous Answers ? rad/s

A spherical satellite of approximately uniform density with radius 4.8 m and mass 215 kg is originally moving with velocity (2600, 0, 0) m/s, and is originally rotating with an angular speed 2 rad/s, in the direction shown in the diagram. A small piece of space junk of mass 6.0 kg is initially moving toward the satellite with velocity (-2200, 0, 0) m/s. The space junk hits the edge of the satellite as shown in the figure below, and moves off with a new velocity ( 1300, 480, 0) m/s. Both before and after the collision, the rotation of the space junk is negligible. V3 L Part 1 Ux = Uy = @1 (a) Just after the collision, what are the components of the center-of-mass velocity of the satellite (v, and vy) and its rotational speed w? (For Ux, enter your answer to at least four significant figures.) Part 2 Mi @= i i Save for Later i M, R, 1 V2 m m/s m/s rad/s (b) Calculate the rise in the internal energy of the satellite and space junk combined. J Attempts: 0 of 10 used Submit Answer

The young tree, originally bent, has been brought into the vertical position by adjusting the three guy-wire tensions to AB = 2 Ib, AC = 9 Ib, and AD = 13 lb. Determine the force and moment reactions at the trunk base point O. Neglect the weight of the tree. 4.4" D 2.7' 5.0" 2.7' 5.0' Answers: Fo =( i j+ i k) Ib i Mo = ( i i+ i j+ i k) Ib-ft

Ballistic pendulum: A projectile of mass m = 1 kg is fired with an initial speed v0 = 20 m/s at the bob of a pendulum with radius R = 3 m. The bob has mass M = 4 kg and is suspended by a rod of negligible mass. After the collision the projectile and bob stick together and swing at speed vf through an arc reaching height h and stop. (assume g=10 m/s2) (1) What is the speed vf just after the collision ?  (2) What is the total kinetic energy for projectile and bob together just after the collision?

A rod of mass M = 3.25 kg and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 65 g, moving with speed v = 5.25 m/s, strikes the rod at angle θ = 51° from the normal at a distance D = 2/3 L, where L = 1.3 m, from the point of rotation and sticks to the rod after the collision. 1. What is the angular speed ωf of the system immediately after the collision, in radians per second?

A puck of mass m₂ = 72.0 g and radius r₁ = 3.70 cm glides across an air table at a speed of = 1.50 m/s as shown in Figure a. It makes a glancing collision with a second puck of radius r₂ = 6.00 cm and mass m₂ = 105 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the pucks stick together and rotate after the collision (Figure b). m₁ m₂ b (a) What is the magnitude of the angular momentum of the system relative to the center of mass? kg. m²/s (b) What is the angular speed about the center of mass? rad/s

PROBLEM 4: Solid spheres A and B with both of each mass of 2 kgs undergo a direct central impact. Before impact, A is moving to the right with a velocity of 4 m/s and B is stationary. Determine the velocity of A after impact if the impact is perfectly plastic.

A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m.   After he tucks the body, what is his angular velocity about the transverse axis?

A disk of mass m, = 70.0 g and radius r, = 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 14.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m, = 140 g, a radius 2 = 6.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). m2 (a) What is the magnitude of the angular momentum (in kg · m/s) of the two-disk system relative to its center of mass? 0.0686 kg - m/s (b) What is the angular speed (in rad/s) about the center of mass? 82.0 rad/s