Suppose that a copper sleeve of inner radius 1.75 cm and outer radius 1.85 cm is to be cast. To eliminate bubbles and give high structural integrity, the centripetal acceleration of each bit of metal should be 137g. What rate of rotation is required? State the answer in revolutions per minute.

A sphere of mass 1.0 kg and radius 0.21 m is suspended on the rod of length 0.49 m and mass 0.43 kg as it is shown in the figure. System can rotate around uppermost point. A bullet of mass 0.02 kg strikes the sphere as it shown in the figure (aiming directly to the center of the sphere) and embeds. Find minimum velocity of bullet which allows this system to just clear the top. The answer is 300.719752599215. Please show all steps on how to get to that answer.

400 4 The amount of mass shown on the triple beam riders is – F 401.4 g G 404.5 g H 414.5 g J 444.5 g cm 0 2 3 4 6. 7 8 9 10 11 12 13 14 15 What is the length of the metal rod? A 7.0 cm B 7.5 cm C 8.0 cm D 8.5 cm

The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 1.85 cm and is rolled by the beetle at 6.20 cm/s.

A solid sphere, made of acrylic plastic with a density of 1.1 g/cm3,1.1 g/cm3, has a radius of 5.0 cm.5.0 cm. A very small "eyelet" is screwed into the surface of the sphere and a horizontal support rod is passed through the eyelet, allowing the sphere to pivot around this fixed axis, as shown in the figure. If the sphere is displaced slightly from equilibrium on the surface of Earth, determine the period ?T of its harmonic motion when it is released.

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

The head of a grass string trimmer has 100 g of cord wound in a light, cylindrical spool with inside diameter 3.00 cm and outside diameter 18.0 cm as shown in the figure below. The cord has a linear density of 10.0 g/m. A single strand of the cord extends 16.0 cm from the outer edge of the spool. 16.0 cm -3.00 cm -18.0 cm- (a) When switched on, the trimmer speeds up from 0 to 2 250 rev/min in 0.230 s. What average power is delivered to the head by the trimmer motor while it is accelerating? Your response differs from the correct answer by more than 10%. Double check your calculations. W

*Chapter 11, Problem 13 Nonuniform ball. In the figure, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.47 m. The initial height of the ball is h = 0.34 m. At the loop bottom, the magnitude of the normal force on the ball is 1.92Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of the ball can be expressed in the general form I = BMR², but B is not 0.4 as it is for a ball of uniform density. Determine B. the tolerance is +/-2%

Modern commercial airliners are largely made of aluminum, a light and strong metal. But the fact that aluminum is cheap enough that airplanes can be made out of it is a bit of historical luck. Before the discovery of the Hall-Héroult process in 1886, aluminum was as rare and expensive as gold. What would happen if airplanes had to be made of steel? The fuselage of the Boeing 747, which can carry 400 passengers, is approximately a hollow aluminum cylinder without ends, 70.7 m long, 6.5 m wide, and 2.5 mm thick (see sketch at right). The fuselage of an airplane Suppose this fuselage was made of steel (density 7.87 g/cm³) instead of aluminum (density 2.70 g/cm³), and let's say the average passenger has a mass of 79 kg. We'll also assume the engines can't lift any greater mass than they already do. Calculate the number of passengers that the Boeing 747 could carry if its fuselage was made of steel. 0 X

Here is a device that can rotate freely with little friction with the axle. The radius is 0.5 m, and each of the eight balls has a mass of 0.3 kg. The device is initially not rotating. A piece of clay falls and sticks to one of the balls as shown in the figure. The mass of the clay is 0.066 kg and its speed just before the collision is 8 m/s. * (a) Which of the following statements are true, for angular momentum relative to the the axle of the wheel? Just before the collision ₁ = 0.5/√√2 = 0.5 cos(45°) (for the clay). The angular momentum of the wheel is the same before and after the collision. The angular momentum of the wheel is the sum of the angular momenta of all eight balls. The angular momentum of the falling clay is zero because the clay is moving in a straight line. Just before the collision the angular momentum of the wheel is 0. The angular momentum of the wheel + clay after the collision is equal to the initial angular momentum of the clay. (b) Just after the collision,…