Please do whatever you can. It's practice for an exam in a few hours. Thanks.

1. A uniform solid sphere rolls without slipping down a 280 inclined plane. What is the acceleration of the sphere's center of mass? The moment of inertia of a uniform solid sphere about an axis that passes through its center = 4smr2. The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7/5mr2. m/s2 2. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.80 kg.m2 and an angular velocity of +6.60 rad/s. Disk B is rotating with an angular velocity of -10.4 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.40 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B? kg.m2 3. Three objects of uniform density; a solid sphere, a solid cylinder, and a hollow cylinder are placed at the top of an incline. They are all released together from rest at the same height and roll down the incline without slipping. In which order the objects reach the bottom of the incline. O . Hollowaylinder, solid cylinder, then solid sphere. O Solid cylinder, hollow cylinder, then solid sphere. O Solid cylinder, solid sphere, then hollow cylinder. O Solid sphere, hollow cylinder, then solid cylinder. Solid sphere, solid cylinder, then hollow cylinder. OO Hollow cylinder, solid cylinder, then solid sphere. 4. The period of oscillation of a given mass that is connected to a vertical spring (k1 = 340 N/m) is 1.30 s. If the same mass were instead suspended from a different spring (k2 = 470 N/m), what would be the period of oscillation? 5. A 1.90 kg box rests on a plank that is inclined at an angle of 190 above the horizontal. The upper end of the box is attached to a spring with a force constant of 17 N/m, as shown in the figure. If the coefficient of static friction between the box and the plank is 0.82, what is the maximum amount the spring can be compressed and the box remain at rest? m6. A 90.0-kg circus performer jumps from a height 4.80 m onto a trampoline and it stretches 0.20 m. Assume that the trampoline obeys Hooke's Law. How far will it stretch if the performer jumps from a height 8.0 m? m 7. When a 0.38-kg block is suspended on a vertical spring, it causes it to stretch 2.80 cm. If the block is now pulled 7.70 cm below its equilibrium position and released, what is the speed of the block when it is 4.00 cm below the equilibrium position? m/s 8. A grandfather clock uses a pendulum that is 76.0 cm long. It is accidentally broken, and when repaired the length is shorter by 1.90 mm. Treating the clock's pendulum as a simple pendulum, by how much will the repaired clock differ from the correct time every period? ms 9. A vertically mounted spring (k = 850 N/m) is compressed by 24.0 cm relative to its unstrained length. A mass (m = 0.22 kg) is placed at rest against the spring. When the spring is released, the mass is launched vertically in the air. What is the speed of the mass (m) when it passes by a point located 5.68 m above the release point? m/s 10. A 1.45-kg block is pushed against a vertical wall by means of a spring (k = 760 N/m). The coefficient of static friction between the block and the wall is 0.36. What is the minimum compression in the spring to prevent the block from slipping down? cm