Match {alphaa, alphab, alphac, fbc, fab} to the correct gear system knowing gear a weighs 1 lb and has a radius of gyration of 1.3 in; gear b weighs 6 lb and has a radius of gyration of 3 in.; gear c weighs 9 lb and has a radius of gyration of 4.3 in. knowing a couple m of constant magnitude of 40 lb ⋅ in is applied to to the pictured gear, (ignore direction of the forces, choose the correct direction for alpha's - positive or negative):

Astring that is fixed at both ends has a length of 1.05 m. when the string vibrates at a frequency of 91.0 hz, a standing wave with five loops is formed. (a) what is the wavelength of the waves that travel on the string? (b) what is the speed of the waves? (c) what is the fundamental frequency of the string?

Chapter 23, problem 075 the figure shows a geiger counter, a device used to detect ionizing radiation (radiation that causes ionization of atoms). the counter consists of a thin, positively charged central wire surrounded by a concentric, circular, conducting cylindrical shell with an equal negative charge. thus, a strong radial electric field is set up inside the shell. the shell contains a low-pressure inert gas. a particle of radiation entering the device through the shell wall ionizes a few of the gas atoms. the resulting free electrons (e) are drawn to the positive wire. however, the electric field is so intense that, between collisions with gas atoms, the free electrons gain energy sufficient to ionize these atoms also. more free electrons are thereby created, and the process is repeated until the electrons reach the wire. the resulting "avalanche" of electrons is collected by the wire, generating a signal that is used to record the passage of the original particle of radiation. suppose the radius of the central wire is 24 âµm, the inner radius of the shell 2.3 cm, and the length of the shell 14 cm. if the electric field at the shell's inner wall is 2.8 ă— 104 n/c, what is the total positive charge on the central wire?

An object moves from position +34m to the position -15m in 15 seconds. what is the total displacement? what is the total velocity?