A solid metal bar is at rest on a horizontal frictionless surface. It is free to rotate about a vertical axis at the left end. The figures show forces of different magnitudes that are exerted on the bar at different locations. In which case does the bar's angular speed about the axis increase at the fastest rate?

A string is wrapped around a disk of mass m = 2.2 kg and radius R = 0.08 m. Starting from rest, you pull the string with a constant force F = 9 N along a nearly frictionless surface. At the instant when the center of the disk has moved a distance x = 0.12 m, your hand has moved a distance of d = 0.27 m. m d (a) At this instant, what is the speed of the center of mass of the disk? Vcm = m/s (b) At this instant, how much rotational kinetic energy does the disk have relative to its center of mass? Krot = Additional Materials M eBook

A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second

A 250 g piece of kryptonite is attached to a 90 cm long masless string to form a pendulum. At its highest point (Point A) the string makes an angle of 55 degrees with the vertical. Its lowest point is Point B and Point C is where the string makes an angle of 35 degrees with respect to the vertical. Find the tension in the string and angular acceleration of the rock at (a) Point A, (b) Point B and (c) Point C.  (a) Draw a free body diagran of the kryptonite, including all relevant angles and axes at Point A, Point B, and Point C. (Three total FBD) (b) Find the angular speed, angular acceleration and tension in the string at Point A.  (c) Find the angular speed, angular acceleration, centripetal force and tension in the string at Point B. (d) Find the angular speed, angular acceleration, centripetal force and tension in the string at Point C.

A wheel of radius 0.269 m, which we can model as a thin disk, is mounted on a frictionless horizontal axis. The mass of the wheel is 2.44 kg. A massless cord wrapped around the wheel is attached to a block of 4.16 kg that slides on a horizontal frictionless surface. If a horizontal force P with a magnitude of 10.1 N is applied to the block as shown below. If the wheel and block start at rest, and the block is moved through a displacement of 2.60 m what is the final angular velocity of the wheel in rad/s, assuming the cord does not slip. P

In the figure, a solid 0.1 kg ball rolls smoothly from rest (starting at height H = 5.6 m) until it leaves the horizontal section at the end of the track, at height h = 1.6 m. How far horizontally from point A does the ball hit the floor? Number i Units eTextbook and Media GO Tutorial Save for Later Attempts: 0 of 8 used Submit Answer tv DD 80 88 12 E10 11 F9 FB F6 FS esc F3 F4 F2 @ #3 $ %3D 4 6 7 8. 1 2 3 Y U Q W E R ンビ

= - = 6. A mass M₁ 10 kg resting on a horizontal frictionless surface is attached to a M₂ = 7 kg weight by a light wire that passes over a frictionless pulley. See figure. The pulley has the shape of a uniform disk of mass M3 4 kg and radius R 0.3 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of M₁, and (c) the horizontal and vertical forces that the axle exerts on the pulley. M1 M 3 M2

A motor spins a disk (Idisk = 25.1 kg*m2) with a torque of 40 N*m, and a 18 N frictional force acts on the disk at a radius of 1.5 m. Attached to the disk at a radius of 2.6 m is a 17 kg mass. What is the magnitude of the angular acceleration in rad/s2 of the system?